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.
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页码：353 / 370
页数：18
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