On Fourier coefficients of Eisenstein-Hilbert series

被引：0
|
作者：
Arenas, Angela [1 ]
Garcia-Roig, Jaime-Luis [2 ]
机构：
[1] Univ Barcelona, Dept Algebra & Geometria, E-08007 Barcelona, Spain
[2] Univ Politecn Cataluna, Sect Matemat, ETSAB, E-08028 Barcelona, Spain
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2014年 / 108卷 / 02期
关键词：
Hilbert modular group; Eisenstein series; Fourier coefficients;
D O I：
10.1007/s13398-013-0124-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct examples of explicit calculations of Fourier expansions of Eisenstein series with respect to the Hilbert modular group of a quadratic field and also of a cubic field, by applying Siegel's formulae.
引用
收藏
页码：527 / 539
页数：13
相关论文
共 50 条
  • [1] On Fourier coefficients of Eisenstein–Hilbert series
    Angela Arenas
    Jaime-Luis Garcia-Roig
    Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, 2014, 108 : 527 - 539
  • [2] Fourier coefficients of Sp(4) Eisenstein series
    Man, Siu hang
    ACTA ARITHMETICA, 2024, 213 (03) : 227 - 271
  • [3] A template method for Fourier coefficients of Langlands Eisenstein series
    Goldfeld, Dorian
    Miller, Stephen D.
    Woodbury, Michael
    RIVISTA DI MATEMATICA DELLA UNIVERSITA DI PARMA, 2021, 12 (01): : 63 - 117
  • [4] Asymptotic expansion of Fourier coefficients of reciprocals of Eisenstein series
    Bernhard Heim
    Markus Neuhauser
    The Ramanujan Journal, 2022, 58 : 871 - 887
  • [5] Asymptotic expansion of Fourier coefficients of reciprocals of Eisenstein series
    Heim, Bernhard
    Neuhauser, Markus
    RAMANUJAN JOURNAL, 2022, 58 (03) : 871 - 887
  • [6] The sign changes of Fourier coefficients of Eisenstein series
    Linowitz, Benjamin
    Thompson, Lola
    RAMANUJAN JOURNAL, 2015, 37 (02) : 223 - 241
  • [7] The sign changes of Fourier coefficients of Eisenstein series
    Benjamin Linowitz
    Lola Thompson
    The Ramanujan Journal, 2015, 37 : 223 - 241
  • [8] ON CERTAIN FOURIER COEFFICIENTS OF EISENSTEIN SERIES ON G2
    Xiong, Wei
    PACIFIC JOURNAL OF MATHEMATICS, 2017, 289 (01) : 235 - 255
  • [9] A note on the Fourier coefficients of a Cohen-Eisenstein series
    Krishnamoorthy, Srilakshmi
    INTERNATIONAL JOURNAL OF NUMBER THEORY, 2016, 12 (05) : 1149 - 1161
  • [10] Whittaker-Fourier coefficients of metaplectic Eisenstein series
    Banks, W
    Bump, D
    Lieman, D
    COMPOSITIO MATHEMATICA, 2003, 135 (02) : 153 - 178
12345