EISENSTEIN SERIES TO THE TREDECIC BASE

被引：0

作者：

Cooper, Shaun ^{[1
]}

Ye, Dongxi ^{[1
]}

机构：

[1] Massey Univ Albany, North Shore Mail Ctr, Inst Nat & Math Sci, Auckland, New Zealand

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2015年 / 91卷 / 01期

关键词：

Eisenstein series; Dedekind's eta function; ELLIPTIC FUNCTIONS; IDENTITY;

D O I：

10.1017/S0004972714000458

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We employ a modular method to establish the new result that two types of Eisenstein series to the tredecic base may be parametrised in terms of the eta quotients eta(13)(tau)/eta(13 tau) and eta(2)(13 tau)/eta(2)(tau). The method can also be used to give short and simple proofs for the analogous cubic, quintic and septic theories.

引用

页码：19 / 28

页数：10

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