On special L-values attached to metaplectic modular forms

被引：1

作者：

Bouganis, Thanasis ^{[1
]}

机构：

[1] Univ Durham, Dept Math Sci, South Rd, Durham DH1 3LE, England

来源：

MATHEMATISCHE ZEITSCHRIFT | 2018年 / 288卷 / 3-4期

关键词：

ZETA-FUNCTIONS; EISENSTEIN SERIES;

D O I：

10.1007/s00209-017-1909-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we establish some algebraic properties of special L-values attached to Siegel modular forms of half-integral weight, often called metaplectic modular forms. These results are motivated by some "exercises" left by Shimura to the reader in his marvellous book "Arithmeticity in the Theory of Automorphic Forms".

引用

页码：725 / 740

页数：16

共 11 条

[1]

Bouganis Th., RATIONALITY EI UNPUB

[2]

Bouganis T, 2015, DOC MATH, V20, P1293

[3]

Bouganis Thanasis, 2014, IWASAWA THEORY 2012, V7, P135

[4]

Feit P., 1986, MEM AM MATH SOC, V346, P61

[5] EISENSTEIN SERIES ON SHIMURA VARIETIES [J].

HARRIS, M .

ANNALS OF MATHEMATICS, 1984, 119 (01) :59-94

[6]

Mercuri S., SPECIAL VALUES ZETA

[7] Convergence of zeta functions on symplectic and metaplectic groups [J].

Shimura, G .

DUKE MATHEMATICAL JOURNAL, 1996, 82 (02) :327-347

[8] ZETA-FUNCTIONS AND EISENSTEIN SERIES ON METAPLECTIC GROUPS [J].

SHIMURA, G .

INVENTIONES MATHEMATICAE, 1995, 121 (01) :21-60

[9]

Shimura G., 1997, CBMS REG C SERI MATH, V93

[10] THE CRITICAL-VALUES OF ZETA-FUNCTIONS ASSOCIATED TO THE SYMPLECTIC GROUP [J].

STURM, J .

DUKE MATHEMATICAL JOURNAL, 1981, 48 (02) :327-350

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