D. Bump

发表

Automorphic Forms and Representations

D. Bump, 1998 .

Automorphic Forms and Representations: Automorphic Representations

D. Bump, 1997 .

A nonvanishing theorem for derivatives of automorphic $L$-functions with applications to elliptic curves

J. Hoffstein, D. Bump, S. Friedberg, 1989 .

Useful Bounds on the Extreme Eigenvalues and Vectors of Matrices for Harper’s Operators

P. Diaconis, H. Widom, L. Miclo, 2015, 1508.05986.

Weyl Group Multiple Dirichlet Series III: Eisenstein Series and Twisted Unstable Ar

J. Hoffstein, D. Bump, S. Friedberg, 2007 .

On the Averages of Characteristic Polynomials From Classical Groups

Daniel Bump, D. Bump, Alex Gamburd, 2005 .

Duality Between Sk and $$\mathrm{GL}(n, \mathbb{C})$$

D. Bump, 2013 .

Supercuspidal representations and Poincaré series over function fields

D. Bump, Shuzo Takahashi, 1993 .

Factorial Schur functions and the Yang-Baxter equation

Peter J. McNamara, D. Bump, Maki Nakasuji, 2011, 1108.3087.

An estimate for the hecke eigenvalues of maass forms

H. Iwaniec, J. Hoffstein, D. Bump, 1992 .

A crystal definition for symplectic multiple Dirichlet series

Dorian, D. Bump, S. Friedberg, 2010 .

Integration on p-adic groups and crystal bases

D. Bump, Maki Nakasuji, 2009 .

Schur Polynomials and The Yang-Baxter Equation

D. Bump, S. Friedberg, Ben Brubaker, 2009, 0912.0911.

Random Matrix Theory

D. Bump, 2013 .

Iwahori-metaplectic duality

D. Bump, Ben Brubaker, Valentin Buciumas, 2021, 2112.14670.

On the Averages of Characteristic Polynomials From Classical Groups

D. Bump, Alex Gamburd, 2005, math-ph/0502043.

Weyl Group Multiple Dirichlet Series and Gelfand-Tsetlin Patterns

D. Bump, S. Friedberg, Ben Brubaker, 2007 .

The adjoint L-function of GL(4)

D. Bump, D. Ginzburg, 1998 .

On the dimension of the space of theta functions

D. Bump, A. Pekker, 2002 .

Symmetric Group Branching Rules and Tableaux

D. Bump, 2013 .

The Involution Model for S k

D. Bump, 2013 .

Unitary Branching Rules and Tableaux

D. Bump, 2013 .

Duality for metaplectic ice

D. Bump, Ben Brubaker, Valentin Buciumas, 2017, 1709.06500.

Vertex Operators, Solvable Lattice Models and Metaplectic Whittaker Functions

D. Bump, Ben Brubaker, Valentin Buciumas, 2018, Communications in Mathematical Physics.

A Yang–Baxter equation for metaplectic ice

D. Bump, Ben Brubaker, Valentin Buciumas, 2016, Communications in Number Theory and Physics.

Hecke modules from metaplectic ice

D. Bump, S. Friedberg, Ben Brubaker, 2017, Selecta Mathematica.

Hecke modules from metaplectic ice

D. Bump, S. Friedberg, Ben Brubaker, 2017, 1704.00701.

Matrix Coefficients and Iwahori-Hecke Algebra Modules

D. Bump, S. Friedberg, Ben Brubaker, 2015, 1507.07572.

Unique functionals and representations of Hecke algebras

D. Bump, S. Friedberg, Ben Brubaker, 2012 .

Whittaker functions and Demazure operators

D. Bump, Ben Brubaker, Anthony Licata, 2011, 1111.4230.

Metaplectic Ice

Paul E. Gunnells, P. Gunnells, D. Bump, 2022 .

Lifting automorphic representations on the double covers of orthogonal groups

D. Bump, S. Friedberg, D. Ginzburg, 2006 .

Symmetric square L-functions on GL(r)

D. Bump, D. Ginzburg, 1992 .

The symmetric cube

J. Hoffstein, D. Bump, D. Ginzburg, 1996 .

Spin L -functions on symplectic groups

D. Bump, D. Ginzburg, 1992 .

Whittaker-Orthogonal models, functoriality, and the Rankin-Selberg method

D. Bump, S. Friedberg, D. Ginzburg, 1992 .

A summation formula for divisor functions associated to lattices

D. Bump, Jennifer Beineke, 2006 .

SUMS OF TWISTED GL ( 3 ) AUTOMORPHIC L-FUNCTIONS

J. Hoffstein, D. Bump, S. Friedberg, 2003 .

Renormalized Periods on GL(3)

D. Bump, Jennifer Beineke, 2003, Canadian Journal of Mathematics.

On Shimura’s correspondence

J. Hoffstein, D. Bump, 1987 .

Rankin-Selberg integrals in two complex variables

D. Bump, S. Friedberg, D. Ginzburg, 1999 .

Metaplectic Iwahori Whittaker functions and supersymmetric lattice models

D. Bump, Ben Brubaker, Valentin Buciumas, 2020, 2012.15778.

Weyl group multiple Dirichlet series, Eisenstein series and crystal bases

D. Bump, S. Friedberg, Ben Brubaker, 2011 .

On Kubota's Dirichlet series

D. Bump, Ben Brubaker, 2006 .

Spectral Theory and the Trace Formula (expanded Text)

D. Bump, 2022 .

Explicit formulas for the waldspurger and bessel models

D. Bump, S. Friedberg, M. Furusawa, 1994, math/9410202.

Gauss Sum Combinatorics and Metaplectic Eisenstein Series

D. Bump, S. Friedberg, Ben Brubaker, 2007 .

Automorphic forms on GL (3, IR)

D. Bump, 1984 .

The Philosophy of Cusp Forms

D. Bump, 2013 .

Metaplectic Forms and Representations

D. Bump, 2018 .

Introduction: Multiple Dirichlet Series

D. Bump, 2012 .

Weyl Group Multiple Dirichlet Series: Type A Combinatorial Theory

D. Bump, S. Friedberg, Ben Brubaker, 2011 .

Moments of the Riemann zeta function and Eisenstein series—II

D. Bump, Jennifer Beineke, 2004 .

Cubic metaplectic forms onGL (3)

J. Hoffstein, D. Bump, 1986 .

Multiple Dirichlet Series

D. Bump, 2018 .

Multiple Dirichlet series, L-functions and automorphic forms

D. Goldfeld, D. Bump, S. Friedberg, 2012 .

Colored five-vertex models and Demazure atoms

Ben Brubaker, Daniel Bump, Valentin Buciumas, 2019, J. Comb. Theory, Ser. A.

Colored Vertex Models and Iwahori Whittaker Functions

D. Bump, Ben Brubaker, Valentin Buciumas, 2019, 1906.04140.

Metaplectic Whittaker Functions and Crystals of Type B

P. Gunnells, D. Bump, Ben Brubaker, 2012 .

Colored Bosonic Models and Matrix Coefficients

D. Bump, S. Naprienko, 2022, 2211.15850.

Nonvanishing theorems for L-functions of modular forms and their derivatives

J. Hoffstein, D. Bump, S. Friedberg, 1990 .

Automorphic forms on GL(2)

D. Bump, 1984 .

Generalized Frobenius–Schur numbers

D. Bump, D. Ginzburg, 2004 .

On Mellin transforms of unramified Whittaker functions on GL(3, C)☆

D. Bump, S. Friedberg, 1989 .

Poincaré series and Kloosterman sums for SL(3, Z)

D. Goldfeld, D. Bump, S. Friedberg, 1988 .

Matrix coefficients of intertwining operators and the Bruhat order

Daniel Bump, B'eatrice Chetard, D. Bump, 2021, 2105.13075.

Casselman’s Basis of Iwahori Vectors and Kazhdan–Lusztig Polynomials

D. Bump, Maki Nakasuji, 2017, Canadian Journal of Mathematics.

Casselman’s Basis of Iwahori Vectors and the Bruhat Order

D. Bump, Maki Nakasuji, 2010, Canadian Journal of Mathematics.

An Exercise (?) in Fourier Analysis on the Heisenberg Group

Persi Diaconis, Angela Hicks, Daniel Bump, 2015, 1502.04160.

Metaplectic Forms and Representations Daniel Bump

D. Bump, 2018 .

Compact Operators

D. Bump, 2011 .

Non-unique models in the Rankin-Selberg method.

D. Bump, Masaaki Furusawa, 1995 .

Symmetric square $\mathrm{L}$-functions on $\mathrm{GL}(r)$

D. Bump, D. Ginzburg, 1992 .

Weyl group multiple Dirichlet series II: The stable case

D. Bump, S. Friedberg, Ben Brubaker, 2006 .

Spectral Theory and the Trace Formula

D. Bump, 2004 .

Relative Root Systems

D. Bump, 2013 .

On some applications of automorphic forms to number theory

J. Hoffstein, D. Bump, S. Friedberg, 1996 .

The Exponential Map

D. Bump, 2013 .

An L-Function of Degree 27 for Spin9

D. Bump, D. Ginzburg, 2003 .

Derivatives of Modular Forms of Negative Weight

D. Bump, Y. Choie, 2006 .

Cohomology of Grassmannians

D. Bump, 2013 .

The Weyl Character Formula

D. Bump, 2013 .

On the cubic Shimura lift for PGL3

D. Bump, S. Friedberg, D. Ginzburg, 2001 .

Toeplitz Minors

Persi Diaconis, Daniel Bump, P. Diaconis, 2002, J. Comb. Theory A.

Unramified Whittaker functions for GL(3,ℝ)

D. Bump, J. Huntley, 1995 .

Eisenstein Series, Crystals, and Ice

D. Bump, S. Friedberg, Ben Brubaker, 2011 .

Metaplectic Ice

Paul E. Gunnells, D. Bump, S. Friedberg, 2010, 1009.1741.

Series Mathematics and Statistics 2010 METAPLECTIC ICE B

D. Bump, S. Friedberg, Brubaker, 2018 .

Eisenstein Series , Crystals , and Ice Citation

D. Bump, S. Friedberg, Ben Brubaker, 2022 .