Eisenstein series of level 6 and level 10 with their applications to theta function identities of Ramanujan

被引：0
|
作者：
Shankar, A. I. Vijaya [1 ]
机构：
[1] Univ Mysore Manasagangotri, Dept Studies Math, Mysuru 570006, Karnataka, India
来源：
NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS | 2022年 / 28卷 / 03期
关键词：
Theta functions; Eisenstein series;
D O I：
10.7546/nntdm.2022.28.3.581-588
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
S. Ramanujan recorded theta function identities of different levels in the unorganized pages of his second notebook and the lost notebook. In this paper, we prove level 6 and level 10 theta function identities by using Eisenstein series identities.
引用
收藏
页码：581 / 588
页数：8
相关论文
共 50 条
  • [41] Theta-function identities of level 8 and its application to partitions
    B. R. Srivatsa Kumar
    K. R. Rajanna
    R. Narendra
    [J]. Afrika Matematika, 2019, 30 : 257 - 267
  • [42] Equidistribution of Eisenstein Series in the Level Aspect
    Koyama, Shin-ya
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2009, 289 (03) : 1131 - 1150
  • [43] Eisenstein series and their applications to some arithmetic identities and congruences
    Daeyeoul Kim
    Aeran Kim
    Ayyadurai Sankaranarayanan
    [J]. Advances in Difference Equations, 2013
  • [44] Eisenstein series and their applications to some arithmetic identities and congruences
    Kim, Daeyeoul
    Kim, Aeran
    Sankaranarayanan, Ayyadurai
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [45] Level 17 Ramanujan–Sato series
    Tim Huber
    Daniel Schultz
    Dongxi Ye
    [J]. The Ramanujan Journal, 2020, 52 : 303 - 322
  • [46] On Some Eisenstein Series Identities Associated with Borwein's Cubic Theta Functions
    Bhuvan, E. N.
    [J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2018, 49 (04): : 689 - 703
  • [47] On Some Eisenstein Series Identities Associated with Borwein’s Cubic Theta Functions
    E. N. Bhuvan
    [J]. Indian Journal of Pure and Applied Mathematics, 2018, 49 : 689 - 703
  • [48] On Klingen Eisenstein series with level in degree two
    Schmidt, Ralf
    Shukla, Alok
    [J]. JOURNAL OF THE RAMANUJAN MATHEMATICAL SOCIETY, 2019, 34 (04) : 373 - 388
  • [49] ZEROS OF SOME LEVEL 2 EISENSTEIN SERIES
    Garthwaite, Sharon
    Long, Ling
    Swisher, Holly
    Treneer, Stephanie
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 138 (02) : 467 - 480
  • [50] ANALOGUES OF LEVEL-N EISENSTEIN SERIES
    Tsumura, Hirofumi
    [J]. PACIFIC JOURNAL OF MATHEMATICS, 2012, 255 (02) : 489 - 510
12345