Fourier-Jacobi theory and Siegel modular forms

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Books (1)

• The theory of Jacobi forms [461]
• Martin Eichler; Don Zagier
• Birkh"auser, Progress in Mathematics
• Volume: 55
• Year: 1985
• Pages: v+148 pp.
• MR number: 0781735

Articles (57)

• Sur la conjecture de Saito-Kurokawa (d'après H. Maass) PDF [460]
• Don Zagier
• Birkh"auser, Progress in Mathematics
• Volume: 12
• Year: 1981
• Pages: 371-394
• MR number: 0633910
• "Uber die Fourier-Jacobi-Entwicklung Siegelscher Eisensteinreihen PDF [69]
• Siegfried B"ocherer
• Math. Z.
• Volume: 183
• Year: 1983
• Pages: 21-46
• MR number: 0701357
• The effect of modular operators on the Fourier-Jacobi coefficients of modular forms [296]
• Valeri Gritsenko
• Math. USSR-Sb.
• Volume: 47
• Year: 1984
• Pages: 237-268
• MR number: 0675196
• Jacobi forms and a Maass relation for Eisenstein series [115]
• Tadashi Yamazaki
• J. Fac. Sci. Univ. Tokyo
• Volume: 33
• Year: 1986
• Pages: 295-310
• MR number: 0866395
• Metrisierungstheorie und Jacobiformen [125]
• Helmut Klingen
• Algebra-Tagung Halle 1986
• Year: 1987
• Pages: 141-146
• MR number: 0919974
• Metrisierungstheorie und Jacobiformen [124]
• Helmut Klingen
• Abh. Math. Sem. Univ. Hamburg
• Volume: 57
• Year: 1987
• Pages: 165-178
• MR number: 0927172
• Jacobi forms and a certain space of modular forms PDF [462]
• Nils-Peter Skoruppa; Don Zagier
• Invent. Math.
• Volume: 94
• Year: 1988
• Pages: 113-146
• MR number: 0958592
• A certain Dirichlet series attached to Siegel modular forms of degree two PDF [559]
• Winfried Kohnen; Nils-Peter Skoruppa
• Invent. Math.
• Volume: 95
• Year: 1989
• Pages: 541-558
• MR number: 0979364
• "Uber Kenfunktionen f"ur Jacobiformen und Siegelsche Modulformen PDF [143]
• Helmut Klingen
• Math. Ann.
• Volume: 285
• Year: 1989
• Pages: 405-416
• MR number: 1019710
• Certain $L$-series of Ranking [Rankin]-Selberg type associated to Siegel modular forms of degree $g$ PDF [560]
• Winfried Kohnen
• Math. Ann.
• Volume: 288
• Year: 1990
• Pages: 697-711
• MR number: 1081271
• Dirichlet series corresponding to Siegel's modular forms of degree $n$ with level $N$ [660]
• Tsuneo Arakawa
• Tohoku Math. J.
• Volume: 42
• Year: 1990
• Pages: 261-286
• MR number: 1053952
• Rankin-Selberg method for Siegel cusp forms [172]
• Tadashi Yamazaki
• Nagoya Math. J.
• Volume: 120
• Year: 1990
• Pages: 35-49
• MR number: 1086567
• On an explicit formula for Whittaker-Shintani functions on ${rm Sp}sb 2$ [208]
• Atsushi Murase
• Abh. Math. Sem. Univ. Hamburg
• Volume: 61
• Year: 1991
• Pages: 153-162
• MR number: 1138280
• A Dirichlet series for modular forms of degree $n$ [509]
• Aloys Krieg
• Acta Arith.
• Volume: 59
• Year: 1991
• Pages: 243-259
• MR number: 1133245
• Dirichlet series involving special values of Rankin convolutions attached to Siegel modular forms [571]
• Winfried Kohnen
• Abh. Math. Sem. Univ. Hamburg
• Volume: 62
• Year: 1992
• Pages: 163-167
• MR number: 1182846
• On Jacobi forms and Siegel modular forms of half integral weights PDF [620]
• Tomoyoshi Ibukiyama
• Comment. Math. Univ. St. Paul
• Volume: 41
• Year: 1992
• Pages: 109-124
• MR number: 1190152
• Class numbers, Jacobi forms and Siegel-Eisenstein series of weight $2$ on ${rm Sp}sb 2(bold Z)$ PDF [226]
• Winfried Kohnen
• Math. Z.
• Volume: 213
• Year: 1993
• Pages: 75-95
• MR number: 1217672
• Jacobi forms and Siegel modular forms: recent results and problems [575]
• Winfried Kohnen
• Enseign. Math.
• Volume: 39
• Year: 1993
• Pages: 121-136
• MR number: 1225259
• On characteristic twists of certain Dirichlet series [574]
• Winfried Kohnen
• Mem. Fac. Sci. Kyushu Univ. Ser. A
• Volume: 47
• Year: 1993
• Pages: 103-117
• MR number: 1222357
• On Poincar'e series of exponential type on ${rm Sp}sb 2$ [576]
• Winfried Kohnen
• Abh. Math. Sem. Univ. Hamburg
• Volume: 63
• Year: 1993
• Pages: 283-297
• MR number: 1227880
• A note on Hecke eigenforms [1005]
• Kalyan Chakraborty; B. Ramakrishnan
• Arch. Math.
• Volume: 63
• Year: 1994
• Pages: 509-516
• MR number: 1300750
• On Jacobi forms of half-integral weight [1001]
• Yasushi Tokuno
• Res. Rep. Miyagi Nat. College Tech.
• Volume: 30
• Year: 1994
• Pages: 147-155
• MR number: 1267039
• On local Whittaker models for the Jacobi group of degree one PDF [1304]
• Rolf Berndt
• Manuscripta Math.
• Volume: 84
• Year: 1994
• Pages: 177--191
• MR number: 1285955
• Theta functions and Siegel-Jacobi forms [285]
• Bernhard Runge
• Acta Math.
• Volume: 175
• Year: 1995
• Pages: 165-196
• MR number: 1368246
• Automorphic correction of a Lorentzian Kac-Moody algebra [943]
• Valeri Gritsenko; Viacheslav Nikulin
• C. R. Acad. Sci. Paris
• Volume: 321
• Year: 1995
• Pages: 1151-1156
• MR number: 1360775
• Characteristic twists of a Dirichlet series for Siegel cusp forms PDF [521]
• Winfried Kohnen; Aloys Krieg; Jyoti Sengupta
• Manuscripta Math.
• Volume: 87
• Year: 1995
• Pages: 489-499
• MR number: 1344603
• Jacobi forms and the theta lifting PDF [993]
• Takashi Sugano
• Comment. Math. Univ. St. Paul
• Volume: 44
• Year: 1995
• Pages: 1-58
• MR number: 1336417
• Jacobi forms of several variables and the Maaß space [522]
• Aloys Krieg
• J. Number Theory
• Volume: 56
• Year: 1996
• Pages: 242-255
• MR number: 1373550
• On Poincar'e series on ${rm Sp}sb m$ PDF [1153]
• Andrzej Dabrowski
• Math. Z.
• Volume: 221
• Year: 1996
• Pages: 573-589
• MR number: 1385169
• On the residue of the Eisenstein series and the Siegel-Weil formula [1134]
• Tamotsu Ikeda
• Compositio Math.
• Volume: 103
• Year: 1996
• Pages: 183-218
• MR number: 1411571
• Exponential lifting and Hecke correspondence [945]
• Valeri Gritsenko
• Surikaisekikenkyusho Kokyuroku
• Volume: 1002
• Year: 1997
• Pages: 119-136
• MR number: 1622822
• Siegel automorphic form corrections of some Lorentzian Kac-Moody Lie algebras [944]
• Valeri Gritsenko; Viacheslav Nikulin
• Amer. J. Math.
• Volume: 119
• Year: 1997
• Pages: 181-224
• MR number: 1428063
• Some new results about Jacobi forms [1143]
• Juping Wang
• Chinese Sci. Bull.
• Volume: 42
• Year: 1997
• Pages: 181-183
• MR number: 1448264
• On certain $L$-series of Rankin-Selberg type associated to Siegel modular forms of degree $2$ [699]
• Andrzej Dabrowski
• Arch. Math.
• Volume: 70
• Year: 1998
• Pages: 297-306
• MR number: 1611180
• Automorphic forms and Lorentzian Kac-Moody algebras. II [947]
• Valeri Gritsenko; Viacheslav Nikulin
• Internat. J. Math.
• Volume: 9
• Year: 1998
• Pages: 201-275
• MR number: 1616929
• Pseudodifferential operators and Hecke operators [1106]
• Youngju Choie
• Appl. Math. Lett.
• Volume: 11
• Year: 1998
• Pages: 29-34
• MR number: 1638733
• Rankin-Cohen operators for Jacobi and Siegel forms [1105]
• Youngju Choie; Wolfgang Eholzer
• J. Number Theory
• Volume: 68
• Year: 1998
• Pages: 160-177
• MR number: 1605899
• Jacobi forms of half-integral weight and Siegel modular forms of integral weight [1002]
• Yasushi Tokuno
• Res. Rep. Miyagi Nat. College Tech.
• Volume: 35
• Year: 1999
• Pages: 75-82
• MR number: 1683941
• Non-vanishing of scalar products of Fourier-Jacobi coefficients of Siegel cusp forms [484]
• Jan Hendrik Bruinier; Siegfried B"ocherer; Winfried Kohnen
• Math. Ann.
• Volume: 313
• Year: 1999
• Pages: 1-13
• MR number: 1666805
• Pullbacks of Eisenstein series, Hecke-Jacobi theory and automorphic $L$-functions [1174]
• Bernhard Heim
• Proc. Sympos. Pure Math.
• Volume: 66, Part 2
• Year: 1999
• Pages: 201-238
• MR number: 1703760
• $L$-functions on ${rm GSp}sb 2times{rm Gl}sb 2$ of mixed weights [759]
• Siegfried B"ocherer; Bernhard Heim
• Math. Z.
• Volume: 235
• Year: 2000
• Pages: 11-51
• MR number: 1785070
• Elliptic genus of Calabi-Yau manifolds and Jacobi and Siegel modular forms [951]
• Valeri Gritsenko
• St. Petersburg Math. J.
• Volume: 11
• Year: 2000
• Pages: 781-804
• MR number: 1734348
• Estimating Siegel modular forms of genus 2 using Jacobi forms [1139]
• Hiroki Aoki
• J. Math. Kyoto Univ.
• Volume: 40
• Year: 2000
• Pages: 581-588
• MR number: 1794522
• Koecher-Maa{ss} series for Jacobi forms PDF [524]
• Aloys Krieg
• Comment. Math. Univ. St. Paul
• Volume: 49
• Year: 2000
• Pages: 61-70
• MR number: 1777153
• Note on mod $p$ Siegel modular forms [982]
• Shoyu Nagaoka
• Math. Z.
• Volume: 235
• Year: 2000
• Pages: 405-420
• MR number: 1795515
• On the Eichler-Zagier map [1006]
• B. Ramakrishnan
• Number theory and related topics (Seoul, 1998). Yonsei Univ. Inst. Math. Sci., Seoul, 2000
• Year: 2000
• Pages: 29-52
• MR number: 1943664
• Quotients of $L$-functions [1175]
• Bernhard Heim
• Nagoya Math. J.
• Volume: 160
• Year: 2000
• Pages: 143-159
• MR number: 1804142
• Saito-Kurokawa lifting for odd weights PDF [662]
• Tsuneo Arakawa
• Comment. Math. Univ. St. Paul
• Volume: 49
• Year: 2000
• Pages: 159-176
• MR number: 1808898
• Automorphic forms for Siegel and Jacobi modular groups [639]
• T.C. Vasudevan
• Tata Inst. Fund. Res. Studies in Math.
• Volume: 15
• Year: 2001
• Pages: 229-236
• MR number: 1986108
• A remark on the behavior of theta series of degree $n$ under modular transformations [1211]
• Olav Richter
• Internat. Math. Res. Notices
• Volume: 2001
• Year: 2001
• Pages: 371-379
• MR number: 1823446
• An analogy of Bol's result on Jacobi forms and Siegel modular forms [1108]
• Youngju Choie; Haesuk Kim
• J. Math. Anal. Appl.
• Volume: 257
• Year: 2001
• Pages: 79-88
• MR number: 1824667
• Estimating the dimensions of the space of Siegel modular forms of genus 2 with level 2 and 3 [1368]
• Hiroki Aoki
• Proceedings of the Japanese-German Seminar (Hakuba, Japan, 2001)
• Year: 2002
• Pages: 101-106
• On a Rankin-Selberg convolution of two variables for Siegel modular forms. [617]
• Ozlem Imamoglu; Yves Martin
• Forum Math.
• Volume: 15
• Year: 2003
• Pages: 565-589
• MR number: 1978335
• On convolutions of Siegel modular forms [580]
• Ozlem Imamoglu; Yves Martin
• Math. Nachr.
• Volume: 273
• Year: 2004
• Pages: 75-95
• MR number: 2084958
• Note on mod $p$ Siegel modular forms. II [984]
• Shoyu Nagaoka
• Math. Z.
• Volume: 251
• Year: 2005
• Pages: 821-826
• MR number: 2190144
• Critical values of $L$-functions on ${rm GSp}sb 2times{rm GL}sb 2$ [1313]
• Siegfried B"ocherer; Bernhard Heim
• Math. Z.
• Volume: 254
• Year: 2006
• Pages: 485-503
• MR number: 2244361
• On the congruences of Jacobi forms [1311]
• Dohoon Choi; Youngju Choie
• Math. Z.
• Volume: 256
• Year: 2007
• Pages: 287-294