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arXiv · 1309.4384

On p-adic analogue of Weil's elliptic functions according to Eisenstein

Su Hu·Min-Soo Kim
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Abstract

In this paper, using p-adic integration with values in spaces of modular forms, we construct the p-adic analogue of Weil's elliptic functions according to Eisenstein in the book "Elliptic functions according to Eisenstein and and Kronecker". This construction extends Serre's p-adic family of Eisenstein series in "Formes modulaires et fonctions z\^eta p-adiques". We show that the power series expansion of Weil's elliptic functions also exists in the p-adic case.

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Su Hu, Min-Soo Kim. 2013-09-17. On p-adic analogue of Weil's elliptic functions according to Eisenstein. https://arxiv.org/abs/1309.4384

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