S. Sperber

发表

Computing zeta functions of nondegenerate hypersurfaces with few monomials

J. Voight, S. Sperber, 2013 .

ON THE p-ADIC THEORY OF EXPONENTIAL SUMS

Steven Sperber, S. Sperber, 1986 .

p-Adic hypergeometric functions and their cohomology

S. Sperber, 1977 .

Newton polyhedra and the degree of theL-function associated to an exponential sum

Steven Sperber, Alan Adolphson, S. Sperber, 1987 .

Hyperkloosterman sums revisited

S. Sperber, A. Adolphson, 2019, Journal of Number Theory.

Symmetric power L-functions for families of generalized Kloosterman sums

S. Sperber, C. Haessig, 2016 .

Families of generalized Kloosterman sums

S. Sperber, C. Haessig, 2013, 1307.1854.

Exponential sums nondegenerate relative to a lattice

S. Sperber, A. Adolphson, 2008, 0808.2755.

Exponential sums and Newton polyhedra: Cohomology and estimates

Steven Sperber, Alan Adolphson, Bernard Dwork, 1989 .

On the L-functions associated with certain exponential sums

S. Sperber, 1980 .

Exponential sums and Newton polyhedra

Steven Sperber, Alan Adolphson, S. Sperber, 1987 .

On the zeta function of monodromy of a polynomial map

A. Libgober, S. Sperber, 1995 .

Zebrafish dlx2a contributes to hindbrain neural crest survival, is necessary for differentiation of sensory ganglia and functions with dlx1a in maturation of the arch cartilage elements.

M. Ekker, V. Saxena, S. Sperber, 2008, Developmental biology.

Zeta functions of alternate mirror Calabi–Yau families

Tyler L. Kelly, J. Voight, C. Doran, 2016, Israel Journal of Mathematics.

On the integrality of hypergeometric series whose coefficients are factorial ratios

S. Sperber, A. Adolphson, 2020, Acta Arithmetica.

Clustered mutations in the GRIK2 kainate receptor subunit gene underlie diverse neurodevelopmental disorders.

B. V. van Bon, R. Pfundt, G. Carvill, 2021, American journal of human genetics.

The genesis of craniofacial biology as a health science discipline.

G. Sperber, S. Sperber, 2014, Australian dental journal.

Isolation and expression of zebrafish zinc-finger transcription factor gene tsh1.

M. Ekker, Shuo Lin, Q. Long, 2007, Gene expression patterns : GEP.

THE PURDUE UNIVERSITY GRADUATE SCHOOL STATEMENT OF DISSERTATION APPROVAL

A. Reibman, B. Ulrich, M. Saito, 2019 .

$A$-hypergeometric systems that come from geometry

S. Sperber, A. Adolphson, 2010 .

Dwork cohomology, de Rham cohomology, and hypergeometric functions

S. Sperber, A. Adolphson, 1999, math/9910009.

On the Jacobian ring of a complete intersection

S. Sperber, A. Adolphson, 2006, math/0610228.

Alternate Mirror Families and Hypergeometric Motives

J. Voight, C. Doran, U. Whitcher, 2019, 2017 MATRIX Annals.

EXPONENTIAL SUMS ON 𝔸n. IV

S. Sperber, A. Adolphson, 2009 .

Exponential sums on ⁿ, II

S. Sperber, A. Adolphson, 2003 .

Exponential sums on An. III

S. Sperber, A. Adolphson, 2000 .

Exponential sums on A^n, III

S. Sperber, A. Adolphson, 1999, math/9909018.

Exponential sums on A^n, II

S. Sperber, A. Adolphson, 1999, math/9909009.

Exponential sums on (Gm)n

S. Sperber, A. Adolphson, 1990 .

Embryogenetics of Cleft Lip and Palate

G. Sperber, S. Sperber, 2013 .

Embryology and development of the facial skeleton

G. Sperber, S. Sperber, 2022, Aesthetic Surgery of the Facial Skeleton.

Craniofacial Embryogenetics and Development

Geoffrey H. Sperber, G. Guttmann, G. Sperber, 2010 .

Intergenic enhancers with distinct activities regulate Dlx gene expression in the mesenchyme of the branchial arches.

M. Ekker, P. Sharpe, S. Sperber, 2004, Developmental biology.

Fibroblast Growth Factor Receptor and Related Skeletal Disorders

E. Spector, S. Sperber, 2016 .

Heat Shock 70-kDa Protein 5 (Hspa5) Is Essential for Pronephros Formation by Mediating Retinoic Acid Signaling*

Hui Zhao, Chengdong Wang, Yi Deng, 2014, The Journal of Biological Chemistry.

barx1 is necessary for ectomesenchyme proliferation and osteochondroprogenitor condensation in the zebrafish pharyngeal arches.

I. Dawid, S. Sperber, 2008, Developmental biology.

On integrality properties of hypergeometric series

S. Sperber, A. Adolphson, 2019, Functiones et Approximatio Commentarii Mathematici.

On the Integrality of Factorial Ratios and Mirror Maps

Steven Sperber, Alan Adolphson, S. Sperber, 2018, Integers.

On the $p$-integrality of $A$-hypergeometric series

S. Sperber, A. Adolphson, 2013, 1311.5252.

A-hypergeometric series and the Hasse-Witt matrix of a hypersurface

Steven Sperber, Alan Adolphson, S. Sperber, 2016, Finite Fields Their Appl..

On solutions of codimension-one $A$-hypergeometric systems

S. Sperber, A. Adolphson, 2022, 2202.08389.

Hypergeometric decomposition of symmetric K3 quartic pencils

Tyler L. Kelly, J. Voight, C. Doran, 2018, Research in the Mathematical Sciences.

Zeta functions of alternate mirror Calabi–Yau families

Tyler L. Kelly, J. Voight, C. Doran, 2018, Israel Journal of Mathematics.

Barx1 is necessary for zebrafish cranial neural crest patterning and pharyngeal arch chondrogenesis

I. Dawid, S. Sperber, 2007 .

$p$-adic estimates for exponential sums and the theorem of Chevalley-Warning

S. Sperber, A. Adolphson, 1987 .

Growth of solutions of linear differential equations at a logarithmic singularity

B. Dwork, S. Sperber, A. Adolphson, 1982 .

Computing zeta functions of nondegenerate hypersurfaces with few monomials

J. Voight, S. Sperber, 2011, 1112.4881.

A-hypergeometric series and a p-adic refinement of the Hasse-Witt matrix

Steven Sperber, Alan Adolphson, S. Sperber, 2020, Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg.

Newton polytopes and algebraic hypergeometric series

S. Sperber, A. Adolphson, 2018, Transactions of the American Mathematical Society.

Distinguished-root formulas for generalized Calabi-Yau hypersurfaces

S. Sperber, A. Adolphson, 2016, 1602.03578.

$A$-hypergeometric series associated to a lattice polytope with a unique interior lattice point

S. Sperber, A. Adolphson, 2013, 1308.4439.

p-ADIC ESTIMATES FOR MULTIPLICATIVE CHARACTER SUMS

S. Sperber, A. Adolphson, 2011, 1103.5513.

On unit root formulas for toric exponential sums

S. Sperber, A. Adolphson, 2010, 1012.1637.

On the zeta function of a projective complete intersection

S. Sperber, A. Adolphson, 2006, math/0610230.

Exponential sums on An

S. Sperber, A. Adolphson, 2000 .

Exponential sums on A^n

S. Sperber, A. Adolphson, 1999, math/9908176.

On twisted de Rham cohomology

S. Sperber, A. Adolphson, 1997, Nagoya Mathematical Journal.

On twisted exponential sums

S. Sperber, A. Adolphson, 1991 .

TWISTED KLOOSTERMAN SUMS AND p-ADIC BESSEL FUNCTIONS, II: NEWTON POLYGONS AND ANALYTIC CONTINUATION

S. Sperber, A. Adolphson, 1987 .

-adic estimates for exponential sums and the theorem of

S. Sperber, A. Adolphson, Scientifiques DE L’É.N.S, 2019 .

Computing zeta functions of sparse nondegenerate hypersurfaces

J. Voight, S. Sperber, 2011, arXiv.org.

On the zeta function of a complete intersection

S. Sperber, A. Adolphson, 1996 .

Logarithmic decay and overconvergence of the unit root and associated zeta functions

B. Dwork, S. Sperber, 1991 .

On the degree of the $L$-function associated with an exponential sum

Steven Sperber, Alan Adolphson, S. Sperber, 1988 .

Newton polygons for general hyperkloosterman sums

S. Sperber, 1984 .

Character sums in finite fields

Steven Sperber, Alan Adolphson, S. Sperber, 1984 .

CONVERGENCE OF POWER SERIES SOLUTIONS OF p-ADIC NONLINEAR DIFFERENTIAL EQUATION

Y. Sibuya, S. Sperber, 1981 .

Congruence properties of the hyperkloosterman sum

Compositio Mathematica, S. Sperber, 1980 .

A-hypergeometric sustems that come from geometry

S. Sperber, A. Adolphson, 2010, 1007.4030.

Differential modules defined by systems of equations

S. Sperber, A. Adolphson, 1996 .

HASSE INVARIANTS AND MOD p SOLUTIONS OF A-HYPERGEOMETRIC SYSTEMS

S. Sperber, A. Adolphson, 2012, 1209.2448.

On Monomial Deformations of Generalized Delsarte Polynomials

S. Sperber, A. Adolphson, 2023, 2312.01563.

L-functions associated with families of toric exponential sums

S. Sperber, C. Haessig, 2011, 1109.3682.

p-Adic estimates for exponential sums

S. Sperber, A. Adolphson, 1990 .

Some New Results on Power-Series Solutions of Algebraic Differential Equations

Y. Sibuya, S. Sperber, 1980 .

Twisted Kloosterman Sums and p-Adic Bessel Functions

S. Sperber, A. Adolphson, 1984 .

Twisted exponential sums and Newton polyhedra.

S. Sperber, A. Adolphson, 1993 .

Exponential Sums on the Complement of a Hypersurface

Steven Sperber, Alan Adolphson, S. Sperber, 1980 .

A Remark on Local Cohomology

S. Sperber, A. Adolphson, 1998 .

On solutions of differential equations which satisfy certain algebraic relations

S. Sperber, 1986 .

On the estimation of certain exponential sums

E. Bombieri, S. Sperber, 1995 .