Belakavadi Radhakrishna SRIVATSA KUMAR, Devadas ANU RADHA

Somos’s theta-function identities of level 10

Somos discovered about 6277 theta-function identities of different levels using a computer and offered noproof for them, and these identities closely resemble Ramanujan’s recordings. The purpose of this paper is to prove someof his theta-function identities of level 10 and to establish certain partition identities for them.

PDF

___

[1] Berndt BC. Ramanujan’s Notebooks, Part III. New York, NY, USA: Springer, 1991.
[2] Berndt BC. Ramanujan’s Notebooks, Part IV. New York, NY, USA: Springer, 1996.
[3] Ramanujan S. Notebooks (2 Volumes). Bombay, India: Tata Institute of Fundamental Research, 1957.
[4] Ramanujan S. The Lost Notebook and Other Unpublished Papers. New Delhi, India: Narosa Publishing House, 1988.
[5] Vasuki KR, Veeresha RG. On Somos’s theta-function identities of level 14. Ramanujan J 2017; 42: 131-144.
[6] Yuttanan B. New modular equations in the spirit of Ramanujan. Ramanujan J 2012; 29: 257-272.

ISSN: 1300-0098
Yayın Aralığı: Yılda 6 Sayı
Yayıncı: TÜBİTAK

Arşiv