Notes on theta series for Niemeier lattices

被引:0
|
作者
Shoyu Nagaoka
Sho Takemori
机构
[1] Kindai University,Department of Mathematics
[2] Hokkaido University,Department of Mathematics
来源
The Ramanujan Journal | 2017年 / 42卷
关键词
Theta series; Siegel modular forms; Congruences for modular forms; Primary 11F33; Secondary 11F46;
D O I
暂无
中图分类号
学科分类号
摘要
Some explicit expressions are given for the theta series of Niemeier lattices. As an application, we present some of their congruence relations.
引用
收藏
页码:385 / 400
页数:15
相关论文
共 50 条
  • [1] Notes on theta series for Niemeier lattices
    Nagaoka, Shoyu
    Takemori, Sho
    [J]. RAMANUJAN JOURNAL, 2017, 42 (02): : 385 - 400
  • [2] Notes on theta series for Niemeier lattices II
    Shoyu Nagaoka
    [J]. The Ramanujan Journal, 2021, 55 : 327 - 335
  • [3] Notes on theta series for Niemeier lattices II
    Nagaoka, Shoyu
    [J]. RAMANUJAN JOURNAL, 2021, 55 (01): : 327 - 335
  • [4] The characteristic masses of Niemeier lattices
    Chenevier, Gaetan
    [J]. JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX, 2020, 32 (02): : 545 - 583
  • [5] Umbral moonshine and the Niemeier lattices
    Miranda CN Cheng
    John FR Duncan
    Jeffrey A Harvey
    [J]. Research in the Mathematical Sciences, 1
  • [6] On theta series vanishing at ∞ and related lattices
    Bachoc, Christine
    Manni, Riccardo Salvati
    [J]. ACTA ARITHMETICA, 2006, 124 (01) : 59 - 71
  • [7] Umbral moonshine and the Niemeier lattices
    Cheng, Miranda C. N.
    Duncan, John F. R.
    Harvey, Jeffrey A.
    [J]. RESEARCH IN THE MATHEMATICAL SCIENCES, 2014, 1 (01)
  • [8] Covering aspects of the Niemeier lattices
    Alahmadi, Adel
    Deza, Michel
    Sikiric, Mathieu Dutour
    Sole, Patrick
    [J]. EUROPEAN JOURNAL OF COMBINATORICS, 2019, 80 : 102 - 106
  • [9] The toric geometry of some Niemeier lattices
    M. Brightwell
    [J]. Journal of Geometry, 2004, 81 (1-2) : 15 - 20
  • [10] SEQUENTIAL CONSTRUCTION OF NIEMEIER LATTICES AND THEIR UNIQUENESS
    HARADA, K
    LANG, ML
    MIYAMOTO, M
    [J]. JOURNAL OF NUMBER THEORY, 1994, 47 (02) : 198 - 223