The Journal of the Indian Mathematical Society

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P-Q Eta-Function Identities and Computation of Ramanujan-Weber Class Invariants


Affiliations
1 Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysore-570006, India
     

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In his ‘lost’ notebook, Ramanujan recorded several P-Q identities. In this paper we obtain some new P-Q eta-function identities akin to Ramanujan’s and employ them to compute some new values for Ramanujan-Weber class invariant.

Keywords

Eta-Function Identities, Class Invariants, Theta-Functions.
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  • P-Q Eta-Function Identities and Computation of Ramanujan-Weber Class Invariants

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Authors

M. S. Mahadeva Naika
Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysore-570006, India

Abstract


In his ‘lost’ notebook, Ramanujan recorded several P-Q identities. In this paper we obtain some new P-Q eta-function identities akin to Ramanujan’s and employ them to compute some new values for Ramanujan-Weber class invariant.

Keywords


Eta-Function Identities, Class Invariants, Theta-Functions.