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arXiv · 1605.01145

The Beilinson Conjectures for CM Elliptic Curves via Hypergeometric Functions

Ryojun Ito
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Abstract

We consider certain CM elliptic curves which are related to Fermat curves, and express the values of $L$-functions at $s=2$ in terms of special values of generalized hypergeometric functions. We compare them and a similar result of Rogers-Zudilin with Otsubo's regulator formulas, and give a new proof of the Beilinson conjectures originally due to Bloch.

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Ryojun Ito. 2016-05-04. The Beilinson Conjectures for CM Elliptic Curves via Hypergeometric Functions. https://arxiv.org/abs/1605.01145

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