ON THE CUBIC L-FUNCTION

被引：3

作者：

Proskurin, N. V. ^{[1
]}

机构：

[1] Russian Acad Sci, VA Steklov Math Inst, St Petersburg Branch, St Petersburg 191023, Russia

来源：

ST PETERSBURG MATHEMATICAL JOURNAL | 2013年 / 24卷 / 02期

关键词：

Cubic L-function; distribution of zeros; THETA-SERIES; ANALOG;

D O I：

10.1090/S1061-0022-2013-01242-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The cubic L-function is related to the cubic Kubota Patterson theta function via the Mellin transformation. The cubic L-function obeys a functional equation of the Riemann type (with two gamma factors), but admits no expansion in an Euler product. In the paper, the cubic L-function is studied, and the distribution problem for the real parts of its zeros is considered. Some conjectures based on calculations are stated.

引用

页码：353 / 370

页数：18

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