Hypergeometric functions and elliptic curves |
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| Authors: | Jeremy Rouse |
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| Affiliation: | (1) Department of Mathematics, University of Wisconsin, Madison, WI, 53706 |
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| Abstract: | ![]()
We provide uniform formulas for the real period and the trace of Frobenius associated to an elliptic curve in Legendre normal form. These are expressed in terms of classical and Gaussian hypergeometric functions, respectively. 2000 Mathematics Subject Classification Primary—11G05, 33C05 This research was supported by K. Ono’s NSF grant |
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| Keywords: | Hypergeometric functions Elliptic curves |
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