Edit Profile (opens in new tab) Bump, Daniel Compute Distance To: Compute Author ID: bump.daniel Published as: Bump, Daniel; Bump, D. External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 92 Publications since 1984, including 8 Books 2 Contributions as Editor · 1 Further Contribution Co-Authors: 35 Co-Authors with 83 Joint Publications 864 Co-Co-Authors all top 5 Co-Authors 11 single-authored 37 Friedberg, Solomon 21 Brubaker, Ben 19 Hoffstein, Jeffrey 14 Ginzburg, David 5 Beineke, Jennifer E. 5 Goldfeld, Dorian Morris 4 Buciumas, Valentin 4 Diaconis, Persi Warren 4 Nakasuji, Maki 3 Chinta, Gautam 3 Lieman, Daniel B. 2 Banks, William David 2 Choie, YoungJu 2 Furusawa, Masaaki 2 Gunnells, Paul E. 2 Gustafsson, Henrik P. A. 2 Hicks, Angela Sue 2 Miclo, Laurent 2 Widom, Harold 1 Banerjee, Debika 1 Baruch, Ehud Moshe 1 Choi, Kwok-Kwong Stephen 1 Duke, William Drexel 1 Gamburd, Alexander 1 Gray, Nathan 1 Iwaniec, Henryk 1 Keller, Joseph Bishop 1 Kurlberg, Pär 1 Licata, Anthony M. 1 McNamara, Peter J. 1 Ng, Eugene Kwan-Sang 1 Pekker, Alexander 1 Schilling, Anne 1 Stade, Eric 1 Takahashi, Shuzo 1 Vaaler, Jeffrey D. all top 5 Serials 6 Duke Mathematical Journal 5 Inventiones Mathematicae 4 Annals of Mathematics. Second Series 3 Communications in Mathematical Physics 3 Canadian Journal of Mathematics 3 Journal of Number Theory 3 Journal für die Reine und Angewandte Mathematik 3 IMRN. International Mathematics Research Notices 2 Israel Journal of Mathematics 2 American Journal of Mathematics 2 Journal of Combinatorial Theory. Series A 2 Mathematische Zeitschrift 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Forum Mathematicum 2 Bulletin of the American Mathematical Society. New Series 2 The Ramanujan Journal 2 Cambridge Studies in Advanced Mathematics 2 Graduate Texts in Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Analysis and Applications 1 Acta Arithmetica 1 Advances in Mathematics 1 Commentarii Mathematici Universitatis Sancti Pauli 1 Compositio Mathematica 1 Journal of Algebra 1 Mathematische Annalen 1 Pacific Journal of Mathematics 1 Journal of the Ramanujan Mathematical Society 1 Notices of the American Mathematical Society 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Selecta Mathematica. New Series 1 Mathematical Physics, Analysis and Geometry 1 Pure and Applied Mathematics Quarterly 1 Annals of Mathematics Studies 1 Lecture Notes in Mathematics 1 Proceedings of Symposia in Pure Mathematics 1 Progress in Mathematics 1 Communications in Number Theory and Physics all top 5 Fields 75 Number theory (11-XX) 46 Topological groups, Lie groups (22-XX) 12 Group theory and generalizations (20-XX) 7 Combinatorics (05-XX) 7 Associative rings and algebras (16-XX) 6 Algebraic geometry (14-XX) 6 Special functions (33-XX) 5 Nonassociative rings and algebras (17-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Abstract harmonic analysis (43-XX) 3 Probability theory and stochastic processes (60-XX) 2 General and overarching topics; collections (00-XX) 2 Differential geometry (53-XX) 1 Commutative algebra (13-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 91 Publications have been cited 1,336 times in 904 Documents Cited by ▼ Year ▼ Automorphic forms and representations. Paperback edition. Zbl 0911.11022Bump, Daniel 127 1997 Automorphic forms and representations. Zbl 0868.11022Bump, Daniel 100 1997 Lie groups. Zbl 1053.22001Bump, Daniel 74 2004 Nonvanishing theorems for L-functions of modular forms and their derivatives. Zbl 0721.11023Bump, Daniel; Friedberg, Solomon; Hoffstein, Jeffrey 66 1990 Crystal bases. Representations and combinatorics. Zbl 1440.17001Bump, Daniel; Schilling, Anne 62 2017 Symmetric square \(L\)-functions on \(GL(r)\). Zbl 0753.11021Bump, Daniel; Ginzburg, David 50 1992 Automorphic forms on GL(3,\({\mathbb{R}})\). Zbl 0543.22005Bump, Daniel 44 1984 Lie groups. 2nd ed. Zbl 1279.22001Bump, Daniel 38 2013 Eisenstein series on the metaplectic group and nonvanishing theorems for automorphic L-functions and their derivatives. Zbl 0699.10039Bump, D.; Friedberg, S.; Hoffstein, J. 32 1990 On explicit integral formulas for \(\text{GL}(n, \mathbb R)\)-Whittaker functions. With an appendix by Daniel Bump, Solomon Friedberg, and Jeffrey Hoffstein. Zbl 0731.11027Stade, Eric 26 1990 Weyl group multiple Dirichlet series, Eisenstein series and crystal bases. Zbl 1302.11032Brubaker, Ben; Bump, Daniel; Friedberg, Solomon 26 2011 Schur polynomials and the Yang-Baxter equation. Zbl 1232.05234Brubaker, Ben; Bump, Daniel; Friedberg, Solomon 26 2011 On the averages of characteristic polynomials from classical groups. Zbl 1107.60004Bump, Daniel; Gamburd, Alex 26 2006 Poincaré series and Kloosterman sums for \(\text{SL}(3, \mathbb Z)\). Zbl 0647.10020Bump, D.; Friedberg, S.; Goldfeld, D. 26 1988 A local Riemann hypothesis. I. Zbl 0991.11022Bump, Daniel; Choi, Kwok-Kwong; Kurlberg, Pär; Vaaler, Jeffrey 26 2000 Generalized Frobenius-Schur numbers. Zbl 1053.20006Bump, Daniel; Ginzburg, David 24 2004 Weyl group multiple Dirichlet series. Type A combinatorial theory. Zbl 1288.11052Brubaker, Ben; Bump, Daniel; Friedberg, Solomon 22 2011 The Rankin-Selberg method: A survey. Zbl 0668.10034Bump, Daniel 20 1989 Explicit formulas for the Waldspurger and Bessel models. Zbl 1073.11513Bump, Daniel; Friedberg, Solomon; Furusawa, Masaaki 20 1997 Metaplectic Whittaker functions and crystals of type B. Zbl 1370.11061Brubaker, Ben; Bump, Daniel; Chinta, Gautam; Gunnells, Paul E. 18 2012 Weyl group multiple Dirichlet series. I. Zbl 1112.11025Brubaker, Benjamin; Bump, Daniel; Chinta, Gautam; Friedberg, Solomon; Hoffstein, Jeffrey 17 2006 \(p\)-adic Whittaker functions on the metaplectic group. Zbl 0758.22009Bump, Daniel; Friedberg, Solomon; Hoffstein, Jeffrey 17 1991 Weyl group multiple Dirichlet series. III: Eisenstein series and twisted unstable \(A_r\). Zbl 1154.11016Brubaker, B.; Bump, D.; Friedberg, S.; Hoffstein, J. 16 2007 The Rankin-Selberg method: an introduction and survey. Zbl 1188.11022Bump, Daniel 16 2005 Small representations for odd orthogonal groups. Zbl 1022.22016Bump, Daniel; Friedberg, Solomon; Ginzburg, David 16 2003 Factorial Schur functions and the Yang-Baxter equation. Zbl 1312.05140Bump, Daniel; McNamara, Peter J.; Nakasuji, Maki 15 2014 On some applications of automorphic forms to number theory. Zbl 0865.11043Bump, Daniel; Friedberg, Solomon; Hoffstein, Jeffrey 15 1996 Barnes’ second lemma and its application to Rankin-Selberg convolutions. Zbl 0639.10021Bump, Daniel 15 1988 An estimate for the Hecke eigenvalues of Maass forms. Zbl 0760.11017Bump, Daniel; Duke, W.; Hoffstein, Jeffrey; Iwaniec, Henryk 14 1992 A Yang-Baxter equation for metaplectic ice. Zbl 1454.11096Brubaker, Ben; Buciumas, Valentin; Bump, Daniel; Gray, Nathan 14 2019 Toeplitz minors. Zbl 1005.47030Bump, Daniel; Diaconis, Persi 14 2002 Whittaker functions and Demazure operators. Zbl 1366.22008Brubaker, Ben; Bump, Daniel; Licata, Anthony 13 2015 Hecke modules from metaplectic ice. Zbl 1466.20002Brubaker, Ben; Buciumas, Valentin; Bump, Daniel; Friedberg, Solomon 13 2018 Weyl group multiple Dirichlet series. II: The stable case. Zbl 1138.11017Brubaker, Ben; Bump, Daniel; Friedberg, Solomon 12 2006 Spin \(L\)-functions on symplectic groups. Zbl 0808.22005Bump, Daniel; Ginzburg, David 11 1992 On Riemann’s zeta function. Zbl 0591.10030Bump, Daniel; Ng, Eugene K.-S. 11 1986 Lifting automorphic representations on the double covers of orthogonal groups. Zbl 1107.11024Bump, Daniel; Friedberg, Solomon; Ginzburg, David 10 2006 On Shimura’s correspondence. Zbl 0631.10015Bump, Daniel; Hoffstein, Jeffrey 10 1987 Cubic metaplectic forms on GL(3). Zbl 0591.10018Bump, Daniel; Hoffstein, Jeffrey 10 1986 Metaplectic ice. Zbl 1264.22014Brubaker, Ben; Bump, Daniel; Chinta, Gautam; Friedberg, Solomon; Gunnells, Paul E. 10 2012 Integration on \(p\)-adic groups and crystal bases. Zbl 1268.22009Bump, Daniel; Nakasuji, Maki 10 2010 Nonunique models in the Rankin-Selberg method. Zbl 0833.11017Bump, Daniel; Furusawa, Masaaki; Ginzburg, David 9 1995 The exterior square automorphic \(L\)-functions on \(\text{GL}(n)\). Zbl 0712.11030Bump, Daniel; Friedberg, Solomon 9 1990 Algebraic geometry. Zbl 0965.14002Bump, Daniel 9 1998 Vertex operators, solvable lattice models and metaplectic Whittaker functions. Zbl 1456.82097Brubaker, Ben; Buciumas, Valentin; Bump, Daniel; Gustafsson, Henrik P. A. 8 2020 A nonvanishing theorem for derivatives of automorphic L-functions with applications to elliptic curves. Zbl 0699.10038Bump, D.; Friedberg, S.; Hoffstein, J. 8 1989 Sums of twisted \(\text{GL}(3)\) automorphic \(L\)-functions. Zbl 1154.11322Bump, Daniel; Friedberg, Solomon; Hoffstein, Jeffrey 8 2004 Whittaker-orthogonal models, functoriality, and the Rankin-Selberg method. Zbl 0782.11015Bump, Daniel; Friedberg, Solomon; Ginzburg, David 7 1992 Twisted Weyl group multiple Dirichlet series: the stable case. Zbl 1246.11107Brubaker, Ben; Bump, Daniel; Friedberg, Solomon 7 2008 Unramified Whittaker functions for \(GL(3,\mathbb{R})\). Zbl 0839.22016Bump, Daniel; Huntley, Jonathan 7 1995 On Mellin transforms of unramified Whittaker functions on GL(3,C). Zbl 0675.33008Bump, Daniel; Friedberg, Solomon 7 1989 Some conjectured relationships between theta functions and Eisenstein series on the metaplectic group. Zbl 0677.10021Bump, Daniel; Hoffstein, Jeffrey 7 1989 On Kubota’s Dirichlet series. Zbl 1113.11028Brubaker, Ben; Bump, Daniel 7 2006 Poincaré series and Kloosterman sums. Zbl 0595.10024Bump, Daniel; Friedberg, Solomon; Goldfeld, Dorian 7 1986 A Rankin-Selberg integral using the automorphic minimal representation of \(\text{SO}(7)\). Zbl 1044.11037Bump, Daniel; Friedberg, Solomon; Ginzburg, David 7 2000 Moments of the Riemann zeta function and Eisenstein series. I. Zbl 1079.11041Beineke, Jennifer; Bump, Daniel 7 2004 Introduction: multiple Dirichlet series. Zbl 1370.11062Bump, Daniel 7 2012 Some Euler products associated with cubic metaplectic forms on GL(3). Zbl 0613.10028Bump, Daniel; Hoffstein, Jeffrey 7 1986 Eisenstein series, crystals, and ice. Zbl 1309.11043Brubaker, Benjamin; Bump, Daniel; Friedberg, Solomon 6 2011 Colored five-vertex models and Demazure atoms. Zbl 1458.05257Brubaker, Ben; Buciumas, Valentin; Bump, Daniel; Gustafsson, Henrik P. A. 6 2021 The symmetric cube. Zbl 0871.11038Bump, Daniel; Ginzburg, David; Hoffstein, Jeffrey 6 1996 Rankin-Selberg integrals in two complex variables. Zbl 1055.11516Bump, Daniel; Friedberg, Solomon; Ginzburg, David 6 1999 Casselman’s basis of Iwahori vectors and the Bruhat order. Zbl 1230.22009Bump, Daniel; Nakasuji, Maki 5 2011 On Waldspurger’s theorem. Zbl 0737.11009Bump, D.; Friedberg, S.; Hoffstein, J. 5 1990 Matrix coefficients and Iwahori-Hecke algebra modules. Zbl 1347.22014Brubaker, Ben; Bump, Daniel; Friedberg, Solomon 5 2016 Unitary correlations and the Fejér kernel. Zbl 1005.15014Bump, Daniel; Diaconis, Persi; Keller, Joseph B. 4 2002 Casselman’s basis of Iwahori vectors and Kazhdan-Lusztig polynomials. Zbl 1459.22004Bump, Daniel; Nakasuji, Maki 4 2019 Useful bounds on the extreme eigenvalues and vectors of matrices for Harper’s operators. Zbl 1387.60010Bump, Daniel; Diaconis, Persi; Hicks, Angela; Miclo, Laurent; Widom, Harold 4 2017 Whittaker-Fourier coefficients of metaplectic Eisenstein series. Zbl 1023.11024Banks, William; Bump, Daniel; Lieman, Daniel 4 2003 The adjoint \(L\)-function of \(\text{GL}(4)\). Zbl 1068.11035Bump, Daniel; Ginzburg, David 4 1998 On the dimension of the space of theta functions. Zbl 1020.11034Bump, Daniel; Pekker, Alexander 4 2002 Unique functionals and representations of Hecke algebras. Zbl 1261.22011Brubaker, Benjamin; Bump, Daniel; Friedberg, Solomon 4 2012 Metaplectic generating functions and Shimura integrals. Zbl 0983.11026Bump, Daniel; Friedberg, Solomon 4 1999 Spectral theory and the trace formula. Zbl 1111.11305Bump, Daniel 3 2003 A summation formula for divisor functions associated to lattices. Zbl 1206.11120Beineke, Jennifer; Bump, Daniel 3 2006 An exercise(?) in Fourier analysis on the Heisenberg group. Zbl 1369.60028Bump, Daniel; Diaconis, Persi; Hicks, Angela; Miclo, Laurent; Widom, Harold 3 2017 A Kronecker limit formula for cubic fields. Zbl 0557.10024Bump, Daniel; Goldfeld, Dorian 3 1984 Coefficients of the \(n\)-fold theta function and Weyl group multiple Dirichlet series. Zbl 1286.11061Brubaker, Benjamin; Bump, Daniel; Friedberg, Solomon; Hoffstein, Jeffrey 2 2012 Multiple Dirichlet series, \(L\)-functions and automorphic forms. Zbl 1257.11001 2 2012 Residues of Weyl group multiple Dirichlet series associated to \(\widetilde{\text{GL}}_{n+1}\). Zbl 1117.11029Brubaker, Benjamin; Bump, Daniel 2 2006 Uniqueness of Whittaker functionals on the metaplectic group. Zbl 0820.11037Bump, Daniel; Lieman, Daniel 2 1994 Gauss sum combinatorics and metaplectic Eisenstein series. Zbl 1187.11015Brubaker, Ben; Bump, Daniel; Friedberg, Solomon 2 2009 Derivatives of modular forms of negative weight. Zbl 1165.11046Bump, Daniel; Choie, YoungJu 1 2006 Schubert Eisenstein series. Zbl 1376.11035Bump, Daniel; Choie, YoungJu 1 2014 The Kubota symbol for \(\mathrm{Sp}(4,\mathbb Q(i))\). Zbl 0686.10020Bump, D.; Friedberg, S.; Hoffstein, J. 1 1990 On the cubic Shimura lift for \(PGL_3\). Zbl 1005.11021Bump, Daniel; Friedberg, Solomon; Ginzburg, David 1 2001 Renormalized periods on \(\text{GL}(3)\). Zbl 1055.11029Beineke, Jennifer; Bump, Daniel 1 2003 Hidden symmetries for a renormalized integral of Eisenstein series. Zbl 1087.11028Beineke, Jennifer; Bump, Daniel 1 2002 Moments of the Riemann zeta function and Eisenstein series. II. Zbl 1079.11042Beineke, Jennifer; Bump, Daniel 1 2004 Spin L-functions on GSp\(_{8}\) and GSp\(_{10}\). Zbl 1007.11025Bump, Daniel; Ginzburg, David 1 2000 Voronoi summation formula for Gaussian integers. Zbl 1497.11196Banerjee, Debika; Baruch, Ehud Moshe; Bump, Daniel 1 2022 Voronoi summation formula for Gaussian integers. Zbl 1497.11196Banerjee, Debika; Baruch, Ehud Moshe; Bump, Daniel 1 2022 Colored five-vertex models and Demazure atoms. Zbl 1458.05257Brubaker, Ben; Buciumas, Valentin; Bump, Daniel; Gustafsson, Henrik P. A. 6 2021 Vertex operators, solvable lattice models and metaplectic Whittaker functions. Zbl 1456.82097Brubaker, Ben; Buciumas, Valentin; Bump, Daniel; Gustafsson, Henrik P. A. 8 2020 A Yang-Baxter equation for metaplectic ice. Zbl 1454.11096Brubaker, Ben; Buciumas, Valentin; Bump, Daniel; Gray, Nathan 14 2019 Casselman’s basis of Iwahori vectors and Kazhdan-Lusztig polynomials. Zbl 1459.22004Bump, Daniel; Nakasuji, Maki 4 2019 Hecke modules from metaplectic ice. Zbl 1466.20002Brubaker, Ben; Buciumas, Valentin; Bump, Daniel; Friedberg, Solomon 13 2018 Crystal bases. Representations and combinatorics. Zbl 1440.17001Bump, Daniel; Schilling, Anne 62 2017 Useful bounds on the extreme eigenvalues and vectors of matrices for Harper’s operators. Zbl 1387.60010Bump, Daniel; Diaconis, Persi; Hicks, Angela; Miclo, Laurent; Widom, Harold 4 2017 An exercise(?) in Fourier analysis on the Heisenberg group. Zbl 1369.60028Bump, Daniel; Diaconis, Persi; Hicks, Angela; Miclo, Laurent; Widom, Harold 3 2017 Matrix coefficients and Iwahori-Hecke algebra modules. Zbl 1347.22014Brubaker, Ben; Bump, Daniel; Friedberg, Solomon 5 2016 Whittaker functions and Demazure operators. Zbl 1366.22008Brubaker, Ben; Bump, Daniel; Licata, Anthony 13 2015 Factorial Schur functions and the Yang-Baxter equation. Zbl 1312.05140Bump, Daniel; McNamara, Peter J.; Nakasuji, Maki 15 2014 Schubert Eisenstein series. Zbl 1376.11035Bump, Daniel; Choie, YoungJu 1 2014 Lie groups. 2nd ed. Zbl 1279.22001Bump, Daniel 38 2013 Metaplectic Whittaker functions and crystals of type B. Zbl 1370.11061Brubaker, Ben; Bump, Daniel; Chinta, Gautam; Gunnells, Paul E. 18 2012 Metaplectic ice. Zbl 1264.22014Brubaker, Ben; Bump, Daniel; Chinta, Gautam; Friedberg, Solomon; Gunnells, Paul E. 10 2012 Introduction: multiple Dirichlet series. Zbl 1370.11062Bump, Daniel 7 2012 Unique functionals and representations of Hecke algebras. Zbl 1261.22011Brubaker, Benjamin; Bump, Daniel; Friedberg, Solomon 4 2012 Coefficients of the \(n\)-fold theta function and Weyl group multiple Dirichlet series. Zbl 1286.11061Brubaker, Benjamin; Bump, Daniel; Friedberg, Solomon; Hoffstein, Jeffrey 2 2012 Multiple Dirichlet series, \(L\)-functions and automorphic forms. Zbl 1257.11001 2 2012 Weyl group multiple Dirichlet series, Eisenstein series and crystal bases. Zbl 1302.11032Brubaker, Ben; Bump, Daniel; Friedberg, Solomon 26 2011 Schur polynomials and the Yang-Baxter equation. Zbl 1232.05234Brubaker, Ben; Bump, Daniel; Friedberg, Solomon 26 2011 Weyl group multiple Dirichlet series. Type A combinatorial theory. Zbl 1288.11052Brubaker, Ben; Bump, Daniel; Friedberg, Solomon 22 2011 Eisenstein series, crystals, and ice. Zbl 1309.11043Brubaker, Benjamin; Bump, Daniel; Friedberg, Solomon 6 2011 Casselman’s basis of Iwahori vectors and the Bruhat order. Zbl 1230.22009Bump, Daniel; Nakasuji, Maki 5 2011 Integration on \(p\)-adic groups and crystal bases. Zbl 1268.22009Bump, Daniel; Nakasuji, Maki 10 2010 Gauss sum combinatorics and metaplectic Eisenstein series. Zbl 1187.11015Brubaker, Ben; Bump, Daniel; Friedberg, Solomon 2 2009 Twisted Weyl group multiple Dirichlet series: the stable case. Zbl 1246.11107Brubaker, Ben; Bump, Daniel; Friedberg, Solomon 7 2008 Weyl group multiple Dirichlet series. III: Eisenstein series and twisted unstable \(A_r\). Zbl 1154.11016Brubaker, B.; Bump, D.; Friedberg, S.; Hoffstein, J. 16 2007 On the averages of characteristic polynomials from classical groups. Zbl 1107.60004Bump, Daniel; Gamburd, Alex 26 2006 Weyl group multiple Dirichlet series. I. Zbl 1112.11025Brubaker, Benjamin; Bump, Daniel; Chinta, Gautam; Friedberg, Solomon; Hoffstein, Jeffrey 17 2006 Weyl group multiple Dirichlet series. II: The stable case. Zbl 1138.11017Brubaker, Ben; Bump, Daniel; Friedberg, Solomon 12 2006 Lifting automorphic representations on the double covers of orthogonal groups. Zbl 1107.11024Bump, Daniel; Friedberg, Solomon; Ginzburg, David 10 2006 On Kubota’s Dirichlet series. Zbl 1113.11028Brubaker, Ben; Bump, Daniel 7 2006 A summation formula for divisor functions associated to lattices. Zbl 1206.11120Beineke, Jennifer; Bump, Daniel 3 2006 Residues of Weyl group multiple Dirichlet series associated to \(\widetilde{\text{GL}}_{n+1}\). Zbl 1117.11029Brubaker, Benjamin; Bump, Daniel 2 2006 Derivatives of modular forms of negative weight. Zbl 1165.11046Bump, Daniel; Choie, YoungJu 1 2006 The Rankin-Selberg method: an introduction and survey. Zbl 1188.11022Bump, Daniel 16 2005 Lie groups. Zbl 1053.22001Bump, Daniel 74 2004 Generalized Frobenius-Schur numbers. Zbl 1053.20006Bump, Daniel; Ginzburg, David 24 2004 Sums of twisted \(\text{GL}(3)\) automorphic \(L\)-functions. Zbl 1154.11322Bump, Daniel; Friedberg, Solomon; Hoffstein, Jeffrey 8 2004 Moments of the Riemann zeta function and Eisenstein series. I. Zbl 1079.11041Beineke, Jennifer; Bump, Daniel 7 2004 Moments of the Riemann zeta function and Eisenstein series. II. Zbl 1079.11042Beineke, Jennifer; Bump, Daniel 1 2004 Small representations for odd orthogonal groups. Zbl 1022.22016Bump, Daniel; Friedberg, Solomon; Ginzburg, David 16 2003 Whittaker-Fourier coefficients of metaplectic Eisenstein series. Zbl 1023.11024Banks, William; Bump, Daniel; Lieman, Daniel 4 2003 Spectral theory and the trace formula. Zbl 1111.11305Bump, Daniel 3 2003 Renormalized periods on \(\text{GL}(3)\). Zbl 1055.11029Beineke, Jennifer; Bump, Daniel 1 2003 Toeplitz minors. Zbl 1005.47030Bump, Daniel; Diaconis, Persi 14 2002 Unitary correlations and the Fejér kernel. Zbl 1005.15014Bump, Daniel; Diaconis, Persi; Keller, Joseph B. 4 2002 On the dimension of the space of theta functions. Zbl 1020.11034Bump, Daniel; Pekker, Alexander 4 2002 Hidden symmetries for a renormalized integral of Eisenstein series. Zbl 1087.11028Beineke, Jennifer; Bump, Daniel 1 2002 On the cubic Shimura lift for \(PGL_3\). Zbl 1005.11021Bump, Daniel; Friedberg, Solomon; Ginzburg, David 1 2001 A local Riemann hypothesis. I. Zbl 0991.11022Bump, Daniel; Choi, Kwok-Kwong; Kurlberg, Pär; Vaaler, Jeffrey 26 2000 A Rankin-Selberg integral using the automorphic minimal representation of \(\text{SO}(7)\). Zbl 1044.11037Bump, Daniel; Friedberg, Solomon; Ginzburg, David 7 2000 Spin L-functions on GSp\(_{8}\) and GSp\(_{10}\). Zbl 1007.11025Bump, Daniel; Ginzburg, David 1 2000 Rankin-Selberg integrals in two complex variables. Zbl 1055.11516Bump, Daniel; Friedberg, Solomon; Ginzburg, David 6 1999 Metaplectic generating functions and Shimura integrals. Zbl 0983.11026Bump, Daniel; Friedberg, Solomon 4 1999 Algebraic geometry. Zbl 0965.14002Bump, Daniel 9 1998 The adjoint \(L\)-function of \(\text{GL}(4)\). Zbl 1068.11035Bump, Daniel; Ginzburg, David 4 1998 Automorphic forms and representations. Paperback edition. Zbl 0911.11022Bump, Daniel 127 1997 Automorphic forms and representations. Zbl 0868.11022Bump, Daniel 100 1997 Explicit formulas for the Waldspurger and Bessel models. Zbl 1073.11513Bump, Daniel; Friedberg, Solomon; Furusawa, Masaaki 20 1997 On some applications of automorphic forms to number theory. Zbl 0865.11043Bump, Daniel; Friedberg, Solomon; Hoffstein, Jeffrey 15 1996 The symmetric cube. Zbl 0871.11038Bump, Daniel; Ginzburg, David; Hoffstein, Jeffrey 6 1996 Nonunique models in the Rankin-Selberg method. Zbl 0833.11017Bump, Daniel; Furusawa, Masaaki; Ginzburg, David 9 1995 Unramified Whittaker functions for \(GL(3,\mathbb{R})\). Zbl 0839.22016Bump, Daniel; Huntley, Jonathan 7 1995 Uniqueness of Whittaker functionals on the metaplectic group. Zbl 0820.11037Bump, Daniel; Lieman, Daniel 2 1994 Symmetric square \(L\)-functions on \(GL(r)\). Zbl 0753.11021Bump, Daniel; Ginzburg, David 50 1992 An estimate for the Hecke eigenvalues of Maass forms. Zbl 0760.11017Bump, Daniel; Duke, W.; Hoffstein, Jeffrey; Iwaniec, Henryk 14 1992 Spin \(L\)-functions on symplectic groups. Zbl 0808.22005Bump, Daniel; Ginzburg, David 11 1992 Whittaker-orthogonal models, functoriality, and the Rankin-Selberg method. Zbl 0782.11015Bump, Daniel; Friedberg, Solomon; Ginzburg, David 7 1992 \(p\)-adic Whittaker functions on the metaplectic group. Zbl 0758.22009Bump, Daniel; Friedberg, Solomon; Hoffstein, Jeffrey 17 1991 Nonvanishing theorems for L-functions of modular forms and their derivatives. Zbl 0721.11023Bump, Daniel; Friedberg, Solomon; Hoffstein, Jeffrey 66 1990 Eisenstein series on the metaplectic group and nonvanishing theorems for automorphic L-functions and their derivatives. Zbl 0699.10039Bump, D.; Friedberg, S.; Hoffstein, J. 32 1990 On explicit integral formulas for \(\text{GL}(n, \mathbb R)\)-Whittaker functions. With an appendix by Daniel Bump, Solomon Friedberg, and Jeffrey Hoffstein. Zbl 0731.11027Stade, Eric 26 1990 The exterior square automorphic \(L\)-functions on \(\text{GL}(n)\). Zbl 0712.11030Bump, Daniel; Friedberg, Solomon 9 1990 On Waldspurger’s theorem. Zbl 0737.11009Bump, D.; Friedberg, S.; Hoffstein, J. 5 1990 The Kubota symbol for \(\mathrm{Sp}(4,\mathbb Q(i))\). Zbl 0686.10020Bump, D.; Friedberg, S.; Hoffstein, J. 1 1990 The Rankin-Selberg method: A survey. Zbl 0668.10034Bump, Daniel 20 1989 A nonvanishing theorem for derivatives of automorphic L-functions with applications to elliptic curves. Zbl 0699.10038Bump, D.; Friedberg, S.; Hoffstein, J. 8 1989 On Mellin transforms of unramified Whittaker functions on GL(3,C). Zbl 0675.33008Bump, Daniel; Friedberg, Solomon 7 1989 Some conjectured relationships between theta functions and Eisenstein series on the metaplectic group. Zbl 0677.10021Bump, Daniel; Hoffstein, Jeffrey 7 1989 Poincaré series and Kloosterman sums for \(\text{SL}(3, \mathbb Z)\). Zbl 0647.10020Bump, D.; Friedberg, S.; Goldfeld, D. 26 1988 Barnes’ second lemma and its application to Rankin-Selberg convolutions. Zbl 0639.10021Bump, Daniel 15 1988 On Shimura’s correspondence. Zbl 0631.10015Bump, Daniel; Hoffstein, Jeffrey 10 1987 On Riemann’s zeta function. Zbl 0591.10030Bump, Daniel; Ng, Eugene K.-S. 11 1986 Cubic metaplectic forms on GL(3). Zbl 0591.10018Bump, Daniel; Hoffstein, Jeffrey 10 1986 Poincaré series and Kloosterman sums. Zbl 0595.10024Bump, Daniel; Friedberg, Solomon; Goldfeld, Dorian 7 1986 Some Euler products associated with cubic metaplectic forms on GL(3). Zbl 0613.10028Bump, Daniel; Hoffstein, Jeffrey 7 1986 Automorphic forms on GL(3,\({\mathbb{R}})\). Zbl 0543.22005Bump, Daniel 44 1984 A Kronecker limit formula for cubic fields. Zbl 0557.10024Bump, Daniel; Goldfeld, Dorian 3 1984 all cited Publications top 5 cited Publications all top 5 Cited by 994 Authors 31 Bump, Daniel 27 Friedberg, Solomon 26 Ginzburg, David 17 Scrimshaw, Travis 15 Blomer, Valentin 12 Brubaker, Ben 12 Schilling, Anne 12 Stade, Eric 11 Hoffstein, Jeffrey 10 Motegi, Kohei 9 Kaplan, Eyal 9 Vinroot, C. Ryan 8 Ishii, Taku 8 Keating, Jonathan Peter 8 Lee, Kyu-Hwan 8 Marberg, Eric 8 Szpruch, Dani 7 Cai, Yuanqing 7 Hawkes, Graham 7 Miller, Stephen D. 7 Pollack, Aaron 6 Buttcane, Jack 6 Chinta, Gautam 6 Hundley, Joseph 6 Miyazaki, Tadashi 6 O’Connell, Neil 6 Poh, Wencin 6 Tierz, Miguel 5 Buciumas, Valentin 5 Gillespie, Maria Monks 5 Harcos, Gergely 5 Jiang, Dihua 5 Longo, Matteo 5 Maga, Péter 5 Murase, Atsushi 5 Pechenik, Oliver 5 Rallis, Stephen James 5 Salisbury, Ben 5 Sarnak, Peter Clive 5 Shahidi, Freydoon 4 Bringmann, Kathrin 4 Bruinier, Jan Hendrik 4 Coffey, Mark William 4 Furusawa, Masaaki 4 Goldfeld, Dorian Morris 4 Gunnells, Paul E. 4 Hsieh, Ming-Lun 4 King, Ronald C. 4 Klosin, Krzysztof 4 Lee, Min 4 Liu, Dongwen 4 Luo, Wenzhi 4 Mao, Zhengyu 4 Mishev, Ilia D. 4 Pitale, Ameya 4 Reznikov, Andre 4 Saha, Abhishek 4 Schulze-Pillot, Rainer 4 Soudry, David 4 Stein, William A. 4 Sugiyama, Shingo 4 Tsuzuki, Masao 4 Zeindler, Dirk 4 Zygouras, Nikolaos 3 Alexandersson, Per 3 Assiotis, Theodoros 3 Bailey, Emma C. 3 Beineke, Jennifer E. 3 Bertolini, Massimo 3 Böcherer, Siegfried 3 Caselli, Fabrizio 3 Danişman, Yusuf 3 de Vera-Piquero, Carlos 3 Diaconis, Persi Warren 3 Diaconu, Adrian-Viorel 3 Fomenko, Oleg Mstislavovich 3 Gao, Fan 3 Gerasimov, Anton A. 3 Ghanmi, Allal 3 Green, Richard M. 3 Hare, Kathryn E. 3 Harris, Pamela E. 3 Iwaniec, Henryk 3 Jo, Yeong Seong 3 Kim, Henry H. 3 Kleinschmidt, Axel 3 Korff, Christian 3 Kowalski, Emmanuel 3 Lagarias, Jeffrey C. 3 Lau, Yuk-Kam 3 Li, Charles Chun Che 3 Lieman, Daniel B. 3 Liu, Baiying 3 Lu, Guangshi 3 Michałek, Mateusz 3 Michel, Philippe Gabriel 3 Murty, Maruti Ram 3 Nakasuji, Maki 3 Nelson, Paul D. 3 Nikeghbali, Ashkan ...and 894 more Authors all top 5 Cited in 187 Serials 63 Journal of Number Theory 43 Duke Mathematical Journal 30 Israel Journal of Mathematics 28 Transactions of the American Mathematical Society 27 Mathematische Zeitschrift 24 Inventiones Mathematicae 24 The Ramanujan Journal 23 Journal of Algebra 22 Advances in Mathematics 21 Mathematische Annalen 18 Compositio Mathematica 17 Communications in Mathematical Physics 17 Séminaire Lotharingien de Combinatoire 13 Annales de l’Institut Fourier 13 Manuscripta Mathematica 13 Proceedings of the American Mathematical Society 13 International Journal of Number Theory 12 The Electronic Journal of Combinatorics 12 Journal of High Energy Physics 11 Journal of Mathematical Analysis and Applications 11 Memoirs of the American Mathematical Society 11 Forum Mathematicum 10 Journal of Combinatorial Theory. Series A 10 Research in Number Theory 9 Journal of the American Mathematical Society 9 Selecta Mathematica. New Series 9 Annals of Mathematics. Second Series 9 Algebraic Combinatorics 8 Mathematics of Computation 8 Geometric and Functional Analysis. GAFA 8 Journal of Algebraic Combinatorics 7 Journal of Mathematical Physics 7 Journal of Functional Analysis 7 Monatshefte für Mathematik 7 European Journal of Combinatorics 7 Bulletin of the American Mathematical Society. New Series 6 Algebras and Representation Theory 6 Algebra & Number Theory 6 Forum of Mathematics, Sigma 5 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 5 Probability Theory and Related Fields 5 Journal of Mathematical Sciences (New York) 5 Documenta Mathematica 5 Representation Theory 5 Annals of Combinatorics 4 Communications in Algebra 4 Letters in Mathematical Physics 4 Lithuanian Mathematical Journal 4 Nuclear Physics. B 4 Acta Arithmetica 4 The Annals of Probability 4 Journal of the Mathematical Society of Japan 4 Journal für die Reine und Angewandte Mathematik 4 Pacific Journal of Mathematics 4 Proceedings of the Japan Academy. Series A 4 Tôhoku Mathematical Journal. Second Series 4 Finite Fields and their Applications 4 Transformation Groups 4 Journal of the European Mathematical Society (JEMS) 4 Journal of the Institute of Mathematics of Jussieu 3 Journal of Statistical Physics 3 Canadian Journal of Mathematics 3 Functiones et Approximatio. Commentarii Mathematici 3 Mathematika 3 Proceedings of the London Mathematical Society. Third Series 3 The Annals of Applied Probability 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Expositiones Mathematicae 3 Journal de Théorie des Nombres de Bordeaux 3 Journal of Lie Theory 3 Acta Mathematica Sinica. English Series 3 Journal of Modern Dynamics 3 Japanese Journal of Mathematics. 3rd Series 3 Science China. Mathematics 3 Kyoto Journal of Mathematics 3 Annales Mathématiques du Québec 2 Indian Journal of Pure & Applied Mathematics 2 Journal d’Analyse Mathématique 2 Linear and Multilinear Algebra 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Rocky Mountain Journal of Mathematics 2 Journal of Geometry and Physics 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Bulletin de la Société Mathématique de France 2 Canadian Mathematical Bulletin 2 Journal of Approximation Theory 2 Nagoya Mathematical Journal 2 Advances in Applied Mathematics 2 Acta Mathematica Hungarica 2 Journal of the Ramanujan Mathematical Society 2 International Journal of Mathematics 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Indagationes Mathematicae. New Series 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Combinatorics, Probability and Computing 2 St. Petersburg Mathematical Journal 2 Integral Transforms and Special Functions 2 Mathematical Physics, Analysis and Geometry 2 Journal of Group Theory 2 Annales Henri Poincaré ...and 87 more Serials all top 5 Cited in 54 Fields 554 Number theory (11-XX) 184 Topological groups, Lie groups (22-XX) 158 Combinatorics (05-XX) 122 Group theory and generalizations (20-XX) 93 Algebraic geometry (14-XX) 72 Nonassociative rings and algebras (17-XX) 50 Special functions (33-XX) 49 Probability theory and stochastic processes (60-XX) 49 Quantum theory (81-XX) 34 Statistical mechanics, structure of matter (82-XX) 33 Linear and multilinear algebra; matrix theory (15-XX) 26 Abstract harmonic analysis (43-XX) 21 Associative rings and algebras (16-XX) 17 Functional analysis (46-XX) 16 Dynamical systems and ergodic theory (37-XX) 15 Several complex variables and analytic spaces (32-XX) 13 Operator theory (47-XX) 13 Differential geometry (53-XX) 13 Global analysis, analysis on manifolds (58-XX) 12 Convex and discrete geometry (52-XX) 12 Relativity and gravitational theory (83-XX) 11 Functions of a complex variable (30-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 8 Partial differential equations (35-XX) 7 Commutative algebra (13-XX) 7 Manifolds and cell complexes (57-XX) 6 Integral transforms, operational calculus (44-XX) 6 Numerical analysis (65-XX) 5 Information and communication theory, circuits (94-XX) 4 Category theory; homological algebra (18-XX) 4 \(K\)-theory (19-XX) 4 Real functions (26-XX) 4 Geometry (51-XX) 3 Field theory and polynomials (12-XX) 3 Measure and integration (28-XX) 3 Sequences, series, summability (40-XX) 3 General topology (54-XX) 3 Statistics (62-XX) 3 Mechanics of particles and systems (70-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Potential theory (31-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Computer science (68-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 Ordinary differential equations (34-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Mechanics of deformable solids (74-XX) 1 Biology and other natural sciences (92-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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