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Number theory and Fourier coefficients
This category concerns number theoretic properties of Fourier coefficients of Siegel modular forms, including the consideration of Fourier coefficients mod p.
You are here: Root->Siegel modular forms [54]->Number theory and Siegel modular forms [80]->Number theory and Fourier coefficients [65]Books (1)
- Lectures on Siegel modular forms and representation by quadratic forms [104]
- Yoshiyuki Kitaoka
- Springer-Verlag
- Year: 1986
- Pages: vi+227 pp.
- MR number: 0843330
Articles (35)
- Über die Fourierschen Koeffizienten von Eisensteinschen Reihen der Stufe $T$ PDF [539]
- Carl Ludwig Siegel
- Math. Z.
- Volume: 105
- Year: 1968
- Pages: 257-266
- MR number: 0228442
- Automorphic forms with integral Fourier coefficients [568]
- Walter Baily
- Several Complex Variables, I (Proc. Conf., Univ. of Maryland, College Park, Md., 1970)
- Year: 1970
- Pages: 1-8
- MR number: 0272715
- On the Fourier coefficients of modular forms of several variables [398]
- Goro Shimura
- Nachr. Akad. Wiss. G"ottingen Math.-Phys. Kl. II
- Volume: 1975
- Year: 1975
- Pages: 261-268
- MR number: 0485706
- On some arithmetic properties of modular forms of one and several variables [834]
- Goro Shimura
- Ann. of Math.
- Volume: 102
- Year: 1975
- Pages: 491-515
- MR number: 0491519
- Eisenstein series of genus $2$ [433]
- O. M. Fomenko; E. Golubeva
- Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI)
- Volume: 71
- Year: 1977
- Pages: 85-95, 284
- MR number: 0491517
- $p$-adic properties of Siegel modular forms of degree $2$ [413]
- Shoyu Nagaoka
- Nagoya Math. J.
- Volume: 71
- Year: 1978
- Pages: 43-60
- MR number: 0508994
- Some congruence properties of Eisenstein series [975]
- Shoyu Nagaoka
- Hokkaido Math. J.
- Volume: 8
- Year: 1979
- Pages: 239-243
- MR number: 0551555
- Congruences between Siegel modular forms of degree two. II [418]
- Nobushige Kurokawa
- Proc. Japan Acad. Ser. A Math. Sci
- Volume: 57
- Year: 1981
- Pages: 140-145
- MR number: 0605301
- On Eisenstein series for Siegel modular groups [420]
- Nobushige Kurokawa
- Proc. Japan Acad. Ser. A Math. Sci
- Volume: 57
- Year: 1981
- Pages: 51-55
- MR number: 0608391
- The rationality of holomorphic Eisenstein series PDF [426]
- Michael Harris
- Invent. Math.
- Volume: 63
- Year: 1981
- Pages: 305-310
- MR number: 0610541
- Modular curves on arithmetic quotients [52]
- Paul Garrett
- Duke Math. J.
- Volume: 49
- Year: 1982
- Pages: 633-654
- MR number: 0672500
- Integrality of certain algebraic values attached to modular forms [843]
- Shin-ichiro Mizumoto
- Proc. Japan Acad. Ser. A Math. Sci
- Volume: 59
- Year: 1983
- Pages: 33-36
- MR number: 0696744
- On integrality of certain algebraic numbers associated with modular forms PDF [71]
- Shin-ichiro Mizumoto
- Math. Ann.
- Volume: 265
- Year: 1983
- Pages: 119-135
- MR number: 0719356
- Arithmetic varieties and rigidity [92]
- Gerd Faltings
- Seminar on number theory, Paris 1982-83 (Paris, 1982/1983)
- Volume: Progr. Math., 51
- Year: 1984
- Pages: 63-77
- MR number: 0791585
- On differential operators and congruences for Siegel modular forms of degree two [919]
- Takakazu Satoh
- Proc. Japan Acad. Ser. A Math. Sci
- Volume: 60
- Year: 1984
- Pages: 339-342
- MR number: 0778524
- On Petersson norms of some liftings PDF [87]
- Masaaki Furusawa
- Math. Ann.
- Volume: 267
- Year: 1984
- Pages: 543-548
- MR number: 0742899
- Pullbacks of Eisenstein series; applications [88]
- Paul Garrett
- Automorphic forms of several variables (Katata, 1983)
- Volume: Progr. Math., 46
- Year: 1984
- Pages: 114-137
- MR number: 0763012
- "Uber die Fourier-Jacobi-Entwicklung Siegelscher Eisensteinreihen. II [86]
- Siegfried B"ocherer
- Kodai Math. J.
- Volume: 189
- Year: 1985
- Pages: 81-110
- MR number: 0776540
- Differential operators and congruences for Siegel modular forms of degree two [106]
- Takakazu Satoh
- J. Math. Soc. Japan
- Volume: 38
- Year: 1986
- Pages: 127-146
- MR number: 0816228
- Integrality of Eisenstein liftings [197]
- Shin-ichiro Mizumoto
- Proc. Japan Acad. Ser. A Math. Sci
- Volume: 67
- Year: 1991
- Pages: 11-13
- MR number: 1103971
- On algebraicity of vector valued Siegel modular forms [236]
- Yoshinori Takei
- Kodai Math. J.
- Volume: 15
- Year: 1992
- Pages: 445-457
- MR number: 1189969
- On the arithmetic of Siegel-Hilbert cuspforms: Petersson inner products and Fourier coefficients [728]
- Paul Garrett
- Invent. Math.
- Volume: 107
- Year: 1992
- Pages: 453-481
- MR number: 1150599
- Corrections to: "On integrality of Eisenstein liftings" PDF [849]
- Shin-ichiro Mizumoto
- Manuscripta Math.
- Volume: 90
- Year: 1996
- Pages: 267-269
- MR number: 1391212
- On integrality of Eisenstein liftings PDF [848]
- Shin-ichiro Mizumoto
- Manuscripta Math.
- Volume: 89
- Year: 1996
- Pages: 203-235
- MR number: 1371997
- Some congruence property of modular forms [979]
- Shoyu Nagaoka
- Manuscripta Math.
- Volume: 94
- Year: 1997
- Pages: 253-265
- MR number: 1473900
- A remark on Serre's example of $p$-adic Eisenstein series [980]
- Shoyu Nagaoka
- Surikaisekikenkyusho Kokyuroku
- Volume: 1052
- Year: 1998
- Pages: 201-216
- MR number: 1688755
- On correspondences on Siegel spaces [668]
- Arash Rastegar
- Proceedings of the 31st Iranian Mathematics Conference (Tehran, 2000)
- Year: 2000
- Pages: 350-362
- MR number: 1830749
- Note on mod $p$ Siegel modular forms [982]
- Shoyu Nagaoka
- Math. Z.
- Volume: 235
- Year: 2000
- Pages: 405-420
- MR number: 1795515
- Selmer groups and the Eisenstein-Klingen ideal [1104]
- Eric Urban
- Duke Math. J.
- Volume: 106
- Year: 2001
- Pages: 485-525
- MR number: 1813234
- Siegel differential modular forms [635]
- Mugurel Barcau; Alexandru Buium
- Internat. Math. Res. Notices
- Volume: 28
- Year: 2002
- Pages: 1457-1503
- MR number: 1908022
- On p-adic Siegel-Eisenstein series [1364]
- Shoyu Nagaoka
- Proceedings of the Japanese-German Seminar (Hakuba, Japan, 2001)
- Year: 2002
- Pages: 52-57
- Congruences for Fourier coefficients of lifted Siegel modular forms. I. Eisenstein lifts [851]
- Shin-ichiro Mizumoto
- Abh. Math. Sem. Univ. Hamburg
- Volume: 75
- Year: 2005
- Pages: 97-120
- MR number: 2187581
- Note on mod $p$ Siegel modular forms. II [984]
- Shoyu Nagaoka
- Math. Z.
- Volume: 251
- Year: 2005
- Pages: 821-826
- MR number: 2190144
- On Ikeda’s conjecture on the Petersson product of the Ikeda lift [1342]
- Hidenori Katsurada; Hisa-aki Kawamura
- Proceedings of the 9th Autumn Workshop on Number Theory, Hakuba, Japan, 2006
- Year: 2006
- Pages: 22 pp
- Saito-Kurokawa lifts and applications to arithmetic [1335]
- Jim Brown
- Proceedings of the 9th Autumn Workshop on Number Theory, Hakuba, Japan, 2006
- Year: 2006
- Pages: 11 pp