Generalized addition formulae for theta functions

被引:0
作者
González, EG [1 ]
González-Martínez, C [1 ]
机构
[1] Univ Salamanca, Dept Matemat, E-37008 Salamanca, Spain
来源
Geometry of Riemann Surfaces and Abelian Varieties | 2006年 / 397卷
关键词
theta functions; addition formulae; theta constants of order n; theta groups;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We give the addition formula for the n-th order theta functions and a generalization of the multiplication and duplication formulae. From these we obtain identities between the theta constants of order n, and also the generalized Riemann identity.
引用
收藏
页码:89 / 104
页数:16
相关论文
共 50 条
  • [1] Generalized theta functions and the Deuring polynomial
    Arturo Álvarez Vázquez
    Archiv der Mathematik, 2010, 95 : 25 - 29
  • [2] Additive formulae of theta functions and modular equations of degree five
    Son, Seung H.
    JOURNAL OF NUMBER THEORY, 2006, 121 (01) : 114 - 117
  • [3] Generalized theta functions and the Deuring polynomial
    Alvarez Vazquez, Arturo
    ARCHIV DER MATHEMATIK, 2010, 95 (01) : 25 - 29
  • [4] Some new addition formulae for Weierstrass elliptic functions
    Eilbeck, J. Chris
    England, Matthew
    Onishi, Yoshihiro
    PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2014, 470 (2171):
  • [5] Addition formulae for Abelian functions associated with specialized curves
    Eilbeck, J. C.
    Matsutani, S.
    Onishi, Y.
    PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2011, 369 (1939): : 1245 - 1263
  • [6] Generalized mth order Jacobi theta functions and the Macdonald identities
    Toh, Pee Choon
    INTERNATIONAL JOURNAL OF NUMBER THEORY, 2008, 4 (03) : 461 - 474
  • [7] The Space of Generalized G2-Theta Functions of Level 1
    Gregoire, Chloe
    Pauly, Christian
    MICHIGAN MATHEMATICAL JOURNAL, 2013, 62 (04) : 857 - 867
  • [8] Cluster Scattering Diagrams and Theta Functions for Reciprocal Generalized Cluster Algebras
    Cheung, Man-Wai
    Kelley, Elizabeth
    Musiker, Gregg
    ANNALS OF COMBINATORICS, 2022, 27 (3) : 615 - 691
  • [9] IDENTITIES INVOLVING MOCK THETA FUNCTIONS AND THETA FUNCTIONS
    Song, Hanfei
    Wang, Chun
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2023, 151 (07) : 3009 - 3022
  • [10] Quantum Super Theta Vectors and Theta Functions
    Kim, Hoil
    KYUNGPOOK MATHEMATICAL JOURNAL, 2016, 56 (01): : 249 - 256