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Fourier-Jacobi theory and Siegel modular forms
You are here: Root->Siegel modular forms [54]->Fourier-Jacobi theory and Siegel modular forms [78]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