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Additive formulae of theta functions and modular equations of degree five
Authors:Seung H Son
Institution:Department of Mathematics, University of Colorado, 1420 Austin Bluffs Parkway, Colorado Springs, CO 80933, USA
Abstract:Ramanujan recorded additive formulae of theta functions that are related to modular equations of degree five. We present elementary and simple proofs.
Keywords:Theta functions  Modular equations  Jacobi triple product
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