A Note on Certain Modular Equations about Infinite Products of Ramanujan | Zendy

Hongcun Zhai | Zendy

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A Note on Certain Modular Equations about Infinite Products of Ramanujan

Author(s) -

Hongcun Zhai

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/826472

Subject(s) - ramanujan's sum , mathematics , mathematical proof , simple (philosophy) , modular design , ramanujan tau function , ramanujan theta function , infinite product , modular form , pure mathematics , algebra over a field , geometry , philosophy , epistemology , computer science , operating system

Ramanujan proposed additive formulae of theta functions that are related to modular equations about infinite products. Employing these formulaes, we derived some identities on infinite products. Inthe same spirit, we also could present elementary and simple proofs of certain Ramanujan'smodular equations on infinite products

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