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arXiv · 1903.02480

On the universal p-adic sigma and Weierstrass zeta functions

Clifford Blakestad·David Grant
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Abstract

For primes $p>3$ we produce a new derivation of the universal $p$-adic sigma function and $p$-adic Weierstrass zeta functions of Mazur and Tate for ordinary elliptic curves by a method that highlights congruences among coefficients in Laurent expansions of elliptic functions, and works simultaneously for generalized elliptic curves defined by Weierstrass equations.

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Clifford Blakestad, David Grant. 2019-03-06. On the universal p-adic sigma and Weierstrass zeta functions. https://arxiv.org/abs/1903.02480

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