Carsten Schneider

发表

Iterative and Iterative-Noniterative Integral Solutions in 3-Loop Massive QCD Calculations

J. Blumlein, E. Imamoglu, J. Ablinger, 2017, 1711.09742.

Solving parameterized linear difference equations in terms of indefinite nested sums and products

Carsten Schneider, Carsten Schneider, 2005 .

The two-loop massless off-shell QCD operator matrix elements to finite terms

J. Blumlein, P. Marquard, Carsten Schneider, 2022, Nuclear Physics B.

The polarized transition matrix element A(N) of the variable flavor number scheme at O(αs3)

J. Blumlein, A. Manteuffel, A. Behring, 2021, Nuclear Physics B.

Automated solution of first order factorizable systems of differential equations in one variable

J. Blumlein, P. Marquard, J. Ablinger, 2018, Nuclear Physics B.

The heavy fermion contributions to the massive three loop form factors

J. Blumlein, P. Marquard, Carsten Schneider, 2019, Nuclear Physics B.

Analytic computing methods for precision calculations in quantum field theory

J. Blumlein, Carsten Schneider, 2018, International Journal of Modern Physics A.

The two-mass contribution to the three-loop gluonic operator matrix elementAgg,Q(3)

J. Blumlein, J. Ablinger, A. Freitas, 2018, Nuclear Physics B.

The three-loop splitting functions Pqg(2) and Pgg(2,NF)

J. Blumlein, A. Manteuffel, J. Ablinger, 2017, 1705.01508.

Higher Order Heavy Quark Corrections to Deep-Inelastic Scattering

J. Blumlein, A. Freitas, Carsten Schneider, 2014, 1411.5669.

Non-planar Feynman integrals, Mellin-Barnes representations, multiple sums

T. Riemann, J. Blumlein, J. Gluza, 2014, 1407.7832.

3-loop Massive $O(T_F^2)$ Contributions to the DIS Operator Matrix Element $A_{gg}$

J. Blumlein, A. Manteuffel, A. Hasselhuhn, 2014, 1409.1435.

Calculating massive 3-loop graphs for operator matrix elements by the method of hyperlogarithms

J. Blumlein, J. Ablinger, C. Raab, 2014, 1403.1137.

Generalized Harmonic, Cyclotomic, and Binomial Sums, their Polylogarithms and Special Numbers

J. Blumlein, J. Ablinger, Carsten Schneider, 2013, 1310.5645.

The transition matrix element Agq(N) of the variable flavor number scheme at O(αs3)

J. Blumlein, A. Manteuffel, A. Hasselhuhn, 2014, 1402.0359.

The O(αs3TF2) contributions to the gluonic operator matrix element

J. Blumlein, A. Manteuffel, A. Hasselhuhn, 2014, 1405.4259.

Iterated Binomial Sums and their Associated Iterated Integrals

J. Blumlein, J. Ablinger, C. Raab, 2014, 1407.1822.

The 3-loop non-singlet heavy flavor contributions and anomalous dimensions for the structure function F2(x,Q2) and transversity

J. Blumlein, A. Manteuffel, A. Hasselhuhn, 2014, 1406.4654.

SIMPLIFYING SUMS IN ΠΣ

Carsten Schneider, 2006 .

High Precision Local Electrical Probing: Potential and Limitations for the Analysis of Nanocontacts and Nanointerconnects

A. Feltz, F. Matthes, M. Maier, 2012 .

The Variable Flavor Number Scheme at Next-to-Leading Order

J. Blumlein, A. Freitas, Carsten Schneider, 2018, 1804.03129.

Special functions, transcendentals and their numerics

J. Blumlein, J. Ablinger, Carsten Schneider, 2017, 1712.08541.

Three loop massive operator matrix elements and asymptotic Wilson coefficients with two different masses

J. Blumlein, A. Hasselhuhn, J. Ablinger, 2017, Nuclear Physics B.

Algorithms in Symbolic Computation

Bruno Buchberger, Manuel Kauers, Carsten Schneider, 2009, Hagenberg Research.

The Polarized Three-Loop Anomalous Dimensionsfrom a Massive Calculation

J. Blumlein, A. Behring, A. Freitas, 2019, Proceedings of 14th International Symposium on Radiative Corrections — PoS(RADCOR2019).

The three-loop splitting functions Pqg(2) and Pgg(2,NF)

J. Blumlein, J. Blümlein, A. Manteuffel, 2017, 1705.01508.

Probing magnetic anisotropy in Kagome antiferromagnetic Mn3Ge with torque magnetometry

C. Felser, Carsten Schneider, K. Manna, 2022, Journal of Magnetism and Magnetic Materials.

VOTING ? NON-PARTICIPATION AND CROSSOVER VOTING AMONG ETHNIC HUNGARIANS IN ROMANIA AND SLOVAKIA

Carsten Schneider, Ethnic Hungarians, 2007 .

From momentum expansions to post-Minkowskian Hamiltonians by computer algebra algorithms

J. Blumlein, A. Maier, P. Marquard, 2019, Physics Letters B.

The two-loop massless off-shell QCD operator matrix elements to finite terms

J. Blumlein, P. Marquard, Carsten Schneider, 2022, Nuclear Physics B.

Heavy Flavor Wilson Coefficients in Deep-Inelastic Scattering: Recent Results

J. Blumlein, A. Manteuffel, J. Ablinger, 2017, 1711.07957.

The massless three-loop Wilson coefficients for the deep-inelastic structure functions F2, FL, xF3 and g1

J. Blumlein, P. Marquard, Carsten Schneider, 2022, Journal of High Energy Physics.

New 2- and 3-loop heavy flavor corrections to unpolarized and polarized deep-inelastic scattering

J. Blumlein, J. Ablinger, A. Freitas, 2021, SciPost Physics Proceedings.

The two-mass contribution to the three-loop polarized gluonic operator matrix element Agg,Q(3)

J. Blumlein, J. Ablinger, A. Freitas, 2020, Nuclear Physics B.

The three-loop single mass polarized pure singlet operator matrix element

J. Blumlein, A. Manteuffel, J. Ablinger, 2019, Nuclear Physics B.

New Results on the 3-Loop Heavy Flavor Corrections in Deep-Inelastic Scattering

J. Blumlein, A. Manteuffel, A. Hasselhuhn, 2013, 1312.0124.

Three-Loop Heavy Quark Form Factors and Their Asymptotic Behavior

J. Blumlein, P. Marquard, J. Ablinger, 2019, Springer Proceedings in Physics.

Recent progress on the calculation of three-loop heavy flavor Wilson coefficients in deep-inelastic scattering

J. Blumlein, A. Manteuffel, A. Hasselhuhn, 2014, 1407.3638.

The massive 3-loop operator matrix elements with two masses and the generalized variable flavor number scheme

J. Blumlein, J. Ablinger, A. Freitas, 2017, 1712.00745.

The O ( α 3 s ) Heavy Flavor Contributions to the Charged Current Structure Function xF 3 ( x , Q 2 ) at Large Momentum Transfer

J. Blümlein, A. Manteuffel, A. Hasselhuhn, 2015 .

3-Loop Heavy Flavor Corrections in Deep-Inelastic Scattering with Two Heavy Quark Lines

J. Blumlein, A. Manteuffel, A. Hasselhuhn, 2014, 1407.2821.

Electronic structure of EuO spin filter tunnel contacts directly on silicon

A. Gloskovskii, A. Gray, C. Fadley, 2011 .

X-ray photoelectron emission spectroscopy

R. Waser, K. Skaja, Dittmann, 2018 .

Heavy flavour corrections to polarised and unpolarised deep-inelastic scattering at 3-loop order

J. Blumlein, A. Manteuffel, A. Hasselhuhn, 2016, 1611.01104.

Massive three loop form factor in the planar limit

P. Marquard, J. Ablinger, Carsten Schneider, 2018, Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018).

Iterated Elliptic and Hypergeometric Integrals for Feynman Diagrams pdf

Mark van Hoeij, Carsten Schneider, Clemens G. Raab, 2017, Journal of Mathematical Physics.

The 3-loop non-singlet heavy flavor contributions to the structure function g1(x,Q2) at large momentum transfer

J. Blumlein, A. Manteuffel, A. Behring, 2015, 1504.08217.

3-Loop Heavy Flavor Corrections to DIS with two Massive Fermion Lines

J. Blumlein, J. Ablinger, Carsten Schneider, 2011, 1106.5937.

The SAGEX review on scattering amplitudes

L. Mason, J. Blumlein, L. Dixon, 2022, Journal of Physics A: Mathematical and Theoretical.

Unfair permutations

Helmut Prodinger, Carsten Schneider, Stephan G. Wagner, 2011, Eur. J. Comb..

Application of unspecified sequences in symbolic summation

Manuel Kauers, Carsten Schneider, M. Kauers, 2006, ISSAC '06.

Dynamically assisted Sauter-Schwinger effect — non-perturbative versus perturbative aspects

J. Oertel, R. Schützhold, Carsten Schneider, 2017, Journal of High Energy Physics.

Two-loop massive operator matrix elements for unpolarized heavy flavor production to

Carsten Schneider, Johannes Blumlein, Sebastian Klein, 2008, Nuclear Physics B.

Analytic and Algorithmic Aspects of Generalized Harmonic Sums and Polylogarithms pdf

Carsten Schneider, Johannes Blümlein, Jakob Ablinger, 2013, Journal of Mathematical Physics.

The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements

J. Blumlein, P. Marquard, Carsten Schneider, 2021, Nuclear Physics B.

Nested (inverse) binomial sums and new iterated integrals for massive Feynman diagrams pdf

Carsten Schneider, Clemens G. Raab, Johannes Blümlein, 2014, ArXiv.

The O ( α 3 s T 2 F ) Contributions to the Gluonic Operator Matrix Element

J. Blümlein, A. Manteuffel, A. Hasselhuhn, 2014 .

Harmonic Sums and Polylogarithms Generated by Cyclotomic Polynomials pdf

Carsten Schneider, Johannes Blümlein, Jakob Ablinger, 2011, ArXiv.

Numerical implementation of harmonic polylogarithms to weight w = 8

Carsten Schneider, Johannes Blümlein, Mark Round, 2018, Comput. Phys. Commun..

Hypergeometric structures in Feynman integrals pdf

Carsten Schneider, Johannes Blümlein, M. Saragnese, 2021, Annals of Mathematics and Artificial Intelligence.

The SAGEX review on scattering amplitudes Chapter 4: Multi-loop Feynman integrals

J. Blumlein, Carsten Schneider, 2022, Journal of Physics A: Mathematical and Theoretical.

Algorithmic Combinatorics: Enumerative Combinatorics, Special Functions and Computer Algebra: In Honour of Peter Paule on his 60th Birthday

Peter Paule, Veronika Pillwein, Carsten Schneider, 2020 .

The unpolarized and polarized single-mass three-loop heavy flavor operator matrix elements Agg,Q and ∆Agg,Q

J. Blümlein, A. von Manteuffel, J. Ablinger, 2022, Journal of High Energy Physics.

Computer Algebra and Hypergeometric Structures for Feynman Integrals

Carsten Schneider, J. Bluemlein, M. Saragnese, 2022, Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022).

Solving Linear Difference Equations with Coefficients in Rings with Idempotent Representations

Carsten Schneider, Jakob Ablinger, J. Ablinger, 2021, ISSAC.

Term Algebras, Canonical Representations and Difference Ring Theory for Symbolic Summation pdf

Carsten Schneider, Carsten Schneider, 2021, Texts & Monographs in Symbolic Computation.

Representation of hypergeometric products of higher nesting depths in difference rings pdf

Evans Doe Ocansey, Carsten Schneider, Carsten Schneider, 2020, J. Symb. Comput..

Representing ($q$-)hypergeometric products and mixed versions in difference rings pdf

Carsten Schneider, Evans Doe Ocansey, Carsten Schneider, 2017, ArXiv.

Denominator Bounds for Systems of Recurrence Equations using $ΠΣ$-Extensions pdf

Carsten Schneider, Johannes Middeke, J. Middeke, 2016, ArXiv.

Refined Holonomic Summation Algorithms in Particle Physics pdf

Carsten Schneider, Johannes Blümlein, Mark Round, 2016, ArXiv.

Fast Algorithms for Refined Parameterized Telescoping in Difference Fields pdf

Carsten Schneider, Carsten Schneider, 2013, Computer Algebra and Polynomials.

A Streamlined Difference Ring Theory: Indefinite Nested Sums, the Alternating Sign, and the Parameterized Telescoping Problem

Carsten Schneider, Carsten Schneider, 2014, 2014 16th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing.

Modern Summation Methods for Loop Integrals in Quantum Field Theory: The Packages Sigma, EvaluateMultiSums and SumProduction pdf

Carsten Schneider, Carsten Schneider, 2013, Journal of Physics: Conference Series.

A refined denominator bounding algorithm for multivariate linear difference equations pdf

Manuel Kauers, Carsten Schneider, M. Kauers, 2011, ISSAC '11.

Partial denominator bounds for partial linear difference equations

Manuel Kauers, Carsten Schneider, M. Kauers, 2010, ISSAC.

Hypergeometric Summation Techniques for High Order Finite Elements

Carsten Schneider, Joachim Schöberl, Peter Paule, 2006 .

Hypergeometric Summation Algorithms for High-order Finite Elements

Carsten Schneider, Joachim Schöberl, Peter Paule, 2006, Computing.

Simplifying Multiple Sums in Difference Fields pdf

Carsten Schneider, Carsten Schneider, 2013, ArXiv.

The two-mass contribution to the three-loop pure singlet operator matrix element

J. Blumlein, J. Ablinger, A. Freitas, 2017, Nuclear Physics B.

Summation Theory II: Characterizations of RΠΣ⁎-extensions and algorithmic aspects pdf

Carsten Schneider, Carsten Schneider, 2017, J. Symb. Comput..

The Method of Arbitrarily Large Moments to Calculate Single Scale Processes in Quantum Field Theory pdf

Carsten Schneider, Johannes Blümlein, J. Blümlein, 2017, Physics Letters B.

Calculating three loop ladder and V-topologies for massive operator matrix elements by computer algebra pdf

Carsten Schneider, A. von Manteuffel, Johannes Blümlein, 2015, Comput. Phys. Commun..

A difference ring theory for symbolic summation

Carsten Schneider, Carsten Schneider, 2014, J. Symb. Comput..

The 3-loop pure singlet heavy flavor contributions to the structure function F2(x,Q2) and the anomalous dimension

A. von Manteuffel, A. De Freitas, J. Ablinger, 2014, 1409.1135.

The $O(\alpha_s^3 n_f T_F^2 C_{A,F})$} Contributions to the Gluonic Massive Operator Matrix Elements

Carsten Schneider, Johannes Blumlein, Sebastian Klein, 2012, 1205.4184.

A symbolic summation approach to Feynman integral calculus

Flavia Stan, Carsten Schneider, Johannes Blümlein, 2010, J. Symb. Comput..

Modern Summation Methods and the Computation of 2- and 3-loop Feynman Diagrams

J. Ablinger, J. Blumlein, C. Schneider, 2010, 1006.4797.

Determining the closed forms of the O(sS3) anomalous dimensions and Wilson coefficients from Mellin moments by means of computer algebra

Manuel Kauers, Carsten Schneider, Johannes Blümlein, 2009, Comput. Phys. Commun..

A refined difference field theory for symbolic summation pdf

Carsten Schneider, Carsten Schneider, 2008, J. Symb. Comput..

Degree Bounds to Find Polynomial Solutions of Parameterized Linear Difference Equations in ΠΣ-Fields

Carsten Schneider, Carsten Schneider, 2005, Applicable Algebra in Engineering, Communication and Computing.

The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements

J. Blümlein, P. Marquard, Carsten Schneider, 2022, Journal of High Energy Physics.

The O(αs3) massive operator matrix elements of O(nf) for the structure function F2(x,Q2) and transversity

C. Schneider, J. Ablinger, J. Blümlein, 2010, Nuclear physics. B.

Massive 3-loop Ladder Diagrams for Quarkonic Local Operator Matrix Elements

Carsten Schneider, Johannes Blumlein, Jakob Ablinger, 2012, 1206.2252.

Gaussian Hypergeometric series and supercongruences

Carsten Schneider, Robert Osburn, R. Osburn, 2006, Math. Comput..

Structural theorems for symbolic summation

Carsten Schneider, Carsten Schneider, 2010, Applicable Algebra in Engineering, Communication and Computing.

FMR investigations of half‐metallic ferromagnets

L. Tagirov, G. Reiss, A. Hütten, 2006 .

The three-loop polarized pure singlet operator matrix element with two different masses

J. Blumlein, J. Ablinger, A. Freitas, 2019, Nuclear Physics B.

The polarized three-loop anomalous dimensions from on-shell massive operator matrix elements

J. Blumlein, A. Manteuffel, A. Behring, 2019, Nuclear Physics B.

The transition matrix element Agq(N) of the variable flavor number scheme at O(αs3)

J. Blumlein, A. Manteuffel, A. Hasselhuhn, 2014, 1402.0359.

The O(α 3 s ) massive operator matrix elements of O(n f ) for the structure function F 2 (x, Q 2 ) and transversity

C. Schneider, J. Ablinger, J. Blümlein, 2011 .

Preparation of thin films of the ternary heavy fermion system CeNi2Ge2

G. Schönhense, Carsten Schneider, B. Schmied, 1998 .

Computer-Assisted Proofs of Some Identities for Bessel Functions of Fractional Order pdf

Manuel Kauers, Carsten Schneider, Stefan Gerhold, 2013, ArXiv.

Tuning the orbital ordering in La0.7Sr0.3MnO3 thin films in all-oxide hybrids

I. Krug, Carsten Schneider, J. Schubert, 2015 .

Dynamics of magnetic stray fields at initial stage of magnetization reversal of micrometer-sized Co dots

S. Nepijko, G. Schönhense, A. Oelsner, 2004 .

Spin-transfer torque induced vortex dynamics in Fe/Ag/Fe nanopillars

Riccardo Hertel, Claus M. Schneider, Alina M. Deac, 2010, 1010.4791.

Sub-nanosecond resolution x-ray magnetic circular dichroism photoemission electron microscopy of magnetization processes in a permalloy ring

S. Nepijko, G. Schönhense, A. Oelsner, 2005 .

Quantitative measurements of magnetic stray field dynamics of Permalloy particles in a photoemission electron microscopy

A. Oelsner, A. Krasyuk, Carsten Schneider, 2011, Journal of microscopy.

Ferromagnetic resonance investigation of collective phenomena in two-dimensional periodic arrays of Co particles

S. Nepijko, G. Schönhense, O. Martyanov, 2005 .

A refined machinery to calculate large moments from coupled systems of linear differential equations pdf

Johannes Blümlein, Carsten Schneider, Peter Marquard, 2019, Proceedings of 14th International Symposium on Radiative Corrections — PoS(RADCOR2019).

Computer algebra tools for Feynman integrals and related multi-sums pdf

Carsten Schneider, Johannes Blümlein, J. Blümlein, 2018, Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018).

New Results on Massive 3-Loop Wilson Coefficients in Deep-Inelastic Scattering

J. Blumlein, A. Manteuffel, A. Hasselhuhn, 2016, 1609.03397.

Summation Theory II: Characterizations of $\boldsymbol{R\Pi\Sigma^*}$-extensions and algorithmic aspects

Carsten Schneider, Carsten Schneider, 2016, 1603.04285.

Algebraic Independence of Sequences Generated by (Cyclotomic) Harmonic Sums

Carsten Schneider, Jakob Ablinger, J. Ablinger, 2015, 1510.03692.

Algebraic independence of (cyclotomic) harmonic sums pdf

Carsten Schneider, Jakob Ablinger, J. Ablinger, 2015, ArXiv.

Recent Symbolic Summation Methods to Solve Coupled Systems of Differential and Difference Equations pdf

Carsten Schneider, Johannes Blümlein, Abilio De Freitas, 2014, ArXiv.

Advanced Computer Algebra Algorithms for the Expansion of Feynman Integrals pdf

Carsten Schneider, Johannes Blümlein, Mark Round, 2012, ArXiv.

Heavy Flavor DIS Wilson coefficients in the asymptotic regime

I. Bierenbaum, J. Ablinger, J. Blumlein, 2010, 1007.0375.

A Symbolic Summation Approach to Find Optimal Nested Sum Representations pdf

Carsten Schneider, Carsten Schneider, 2009, ArXiv.

Difference Equations in Massive Higher Order Calculations pdf

Carsten Schneider, Johannes Blümlein, Sebastian Klein, 2007, ArXiv.

Computer proofs of a new family of harmonic number identities

Carsten Schneider, Peter Paule, Carsten Schneider, 2003, Adv. Appl. Math..

Evaluation of binomial double sums involving absolute values pdf

Carsten Schneider, Christian Krattenthaler, C. Krattenthaler, 2016, ArXiv.

The variable ﬂavor number scheme at next-to-leading order

J. Blümlein, A. Freitas, Carsten Schneider, 2018 .

Heavy quark form factors at three loops in the planar limit

J. Blumlein, P. Marquard, J. Ablinger, 2018, Physics Letters B.

From Moments to Functions in Quantum Chromodynamics pdf

Manuel Kauers, Carsten Schneider, Johannes Blümlein, 2009, ArXiv.

New Heavy Flavor Contributions to the DIS Structure Function $F_2(x,Q^2)$ at $O(\alpha_s^3)

J. Blumlein, A. Hasselhuhn, J. Ablinger, 2012, 1202.2700.

Three loop QCD corrections to heavy quark form factors

J. Blumlein, P. Marquard, J. Ablinger, 2019, Journal of Physics: Conference Series.

Séminaire Lotharingien de Combinatoire 56 (2007), Article B56b SYMBOLIC SUMMATION ASSISTS COMBINATORICS

Carsten Schneider, Carsten Schneider, 2022 .

Faraday rotation spectra at shallow core levels: 3p edges of Fe, Co, and Ni

H. Mertins, S. Valencia, A. Gaupp, 2006 .

The Three Loop Two-Mass Contribution to the Gluon Vacuum Polarization

J. Blumlein, A. Freitas, Carsten Schneider, 2017, 1710.04500.

Computer Algebra in Quantum Field Theory: Integration, Summation and Special Functions

Carsten Schneider, Johannes Blmlein, Carsten Schneider, 2013 .

The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements

J. Blumlein, P. Marquard, Carsten Schneider, 2021, Journal of High Energy Physics.

Gaussian hypergeometric series and extensions of supercongruences

Carsten Schneider, Robert Osburn, R. Osburn, 2006 .

Product Representations in ΠΣ-Fields

Carsten Schneider, Carsten Schneider, 2005 .

Computing the complexity for Schelling segregation models

Carsten Schneider, Stefan Gerhold, Burkhard Zimmermann, 2008 .

Evaluation of Multi-Sums for Large Scale Problems pdf

Carsten Schneider, Johannes Blümlein, Alexander Hasselhuhn, 2012, ArXiv.

Plane partitions VI: Stembridge's TSPP theorem

George E. Andrews, Carsten Schneider, Peter Paule, 2005, Adv. Appl. Math..

The Summation Package Sigma: Underlying Principles and a Rhombus Tiling Application

Carsten Schneider, Carsten Schneider, 2004, Discret. Math. Theor. Comput. Sci..

A Case Study for $$\zeta (4)$$

W. Zudilin, Carsten Schneider, 2020, Transcendence in Algebra, Combinatorics, Geometry and Number Theory.

An Implementation of Karr's Summation Algorithm in Mathematica

Carsten Schneider, J. Kepler, Carsten Schneider, 1999 .

The vertical longitudinal magnetoresistance in a van der Waals thin film of WTe2

Y. Shi, C. W. Zhang, Carsten Schneider, 2023, Applied Physics Letters.

ESR of Fe‐Filled Multi‐Walled Carbon Nanotubes

A. Leonhardt, J. Schumann, M. Ritschel, 2005 .

Spectroscopic XPEEM of highly conductive SI-doped GaN wires.

N. Chevalier, P. Tchoulfian, J. Pernot, 2015, Ultramicroscopy.

On Rational and Hypergeometric Solutions of Linear Ordinary Difference Equations in $Π\mathbfΣ^*$-field extensions pdf

Manuel Bronstein, Sergei A. Abramov, Marko Petkovsek, 2020, J. Symb. Comput..

Parameterized Telescoping Proves Algebraic Independence of Sums

Carsten Schneider, Carsten Schneider, 2008, ArXiv.

Refined telescoping algorithms in RΠΣ -extensions to reduce the degrees of the denominators✱

Carsten Schneider, 2023, ISSAC.

The Absent-Minded Passengers Problem: A Motivating Challenge Solved by Computer Algebra pdf

Carsten Schneider, Carsten Schneider, 2020, Mathematics in Computer Science.

Minimal Representations and Algebraic Relations for Single Nested Products

Carsten Schneider, Carsten Schneider, 2019, Programming and Computer Software.

Two-mass three-loop effects in deep-inelastic scattering

J. Blumlein, J. Ablinger, Carsten Schneider, 2018, Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018).

Algorithms to solve coupled systems of differential equations in terms of power series pdf

Carsten Schneider, Johannes Blümlein, Jakob Ablinger, 2016, ArXiv.

Representing ($$\varvec{}$$–)Hypergeometric Products and Mixed Versions in Difference Rings

Carsten Schneider, E. Ocansey, 2016 .

3-Loop Corrections to the Heavy Flavor Wilson Coefficients in Deep-Inelastic Scattering

J. Blumlein, A. Manteuffel, A. Hasselhuhn, 2016, 1602.00583.

A toolbox to solve coupled systems of differential and difference equations pdf

Carsten Schneider, Johannes Blümlein, Jakob Ablinger, 2016, ArXiv.

Three-Loop Contributions to the Gluonic Massive Operator Matrix Elements at General Values of N

M. Round, A. De Freitas, C. Raab, 2012, 1212.6823.

Recent Results on the 3-Loop Heavy Flavor Wilson Coefficients in Deep-Inelastic Scattering

A. De Freitas, J. Ablinger, J. Blumlein, 2012, 1307.7548.

SIMPLIFYING SUMS IN ΠΣ*-EXTENSIONS

Carsten Schneider, Carsten Schneider, 2007 .

Padé approximations to the logarithm II: Identities, recurrences, and symbolic computation

Helmut Prodinger, Carsten Schneider, Kathy Driver, 2006 .

Finding telescopers with minimal depth for indefinite nested sum and product expressions

Carsten Schneider, Carsten Schneider, 2005, ISSAC.

A Collection of Denominator Bounds To Solve Parameterized Linear Difference Equations in ΠΣ-Fields∗

Carsten Schneider, Carsten Schneider, 2004 .

A Collection of Denominator Bounds to Solve Parameterized Linear Difference Equations in ΠΣ-Extensions

Carsten Schneider, Carsten Schneider, 2004 .

UvA-DARE (Digital Academic Repository) Orthogonal

J. Blümlein, Carsten Schneider, 2013 .

When Is 0.999 … Equal to 1?

Carsten Schneider, Robin Pemantle, 2005, Am. Math. Mon..

Thin film mixtures synthesized by cross-beam PLD

P. Paufler, W. Pompe, H. Worch, 1999 .

F C A,F ) Contributions to the Gluonic Massive Operator Matrix Elements

Carsten Schneider, Sebastian Klein, A. Hasselhuhn, 2012 .

Creative Telescoping for Hypergeometric Double Sums

Carsten Schneider, Peter Paule, Carsten Schneider, 2024, ArXiv.

Asymptotic and Exact Results on the Complexity of the Novelli-Pak-Stoyanovskii Algorithm pdf

Carsten Schneider, Robin Sulzgruber, Carsten Schneider, 2016, Electron. J. Comb..

A symbolic summation approach to feynman integrals

Flavia Stan, Carsten Schneider, Johannes Blümlein, 2011, ACCA.

Apery's Double Sum is Plain Sailing Indeed

Carsten Schneider, Carsten Schneider, 2007, Electron. J. Comb..

A new Sigma approach to multi-summation

Carsten Schneider, Carsten Schneider, 2005, Adv. Appl. Math..

On Rational and Hypergeometric Solutions of Linear Ordinary Difference Equations in $\Pi\mathbf\Sigma^*$-field extensions

S. Abramov, M. Bronstein, Carsten Schneider, 2020, 2005.04944.

Denominator Bounds for Systems of Recurrence Equations using $ΠΣ$-Extensions

Carsten Schneider, Johannes Middeke, J. Middeke, 2016, ArXiv.

Peapod synthesis depending on the number of nanotube sidewalls

Carsten Schneider, C. Meyer, C. Spudat, 2009 .

Automated Proofs for Some Stirling Number Identities

Manuel Kauers, Carsten Schneider, Carsten Schneider, 2008, Electron. J. Comb..