Regulator of modular units and Mahler measures-Reference-Cited by-同舟云学术

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Regulator of modular units and Mahler measures

Published:2014-01-02 Issue:2 Volume:156 Page:313-326
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

ZUDILIN WADIM

Abstract

AbstractWe present a proof of the formula, due to Mellit and Brunault, which evaluates an integral of the regulator of two modular units to the value of the L-series of a modular form of weight 2 at s=2. Applications of the formula to computing Mahler measures are discussed.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference18 articles.

1. Elliptic Modular Functions

2. FromL-series of elliptic curves to Mahler measures

3. p-adic Interpolation of Real Analytic Eisenstein Series

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