Belakavadi Radhakrishna Srivatsa KUMAR, Devadas Anu RADHA

71103

Somos's theta-function identities of level 10

Somos discovered about 6277 theta-function identities of different levels using a computer and offered no proof for them, and these identities closely resemble Ramanujan's recordings. The purpose of this paper is to prove some of his theta-function identities of level 10 and to establish certain partition identities for them.
Keywords:

Theta-functions, modular equations Dedekind $\eta$-function, colored partitions,

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Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: 6
  • Yayıncı: TÜBİTAK
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