A. Laurinčikas, “An Elliott-Type Theorem for Twists of <nobr>$L$</nobr>-Functions of Elliptic Curves”, Mat. Zametki, 2016, Volume 99, Issue 1,Pages <nobr>78

This article is cited in 2 papers

An Elliott-Type Theorem for Twists of $L$-Functions of Elliptic Curves

A. Laurinčikas

Vilnius University

Abstract: A limit theorem involving an increasing modulus of the character is obtained for convolutions with the Dirichlet character of $L$-functions of elliptic curves.

Keywords: elliptic curve, $L$-function, Dirichlet character, Dirichlet series, Weil–Shimura–Taniyama conjecture, Haar probability measure, Abelian group.

UDC: 511

Received: 08.04.2015

DOI: 10.4213/mzm10704