Eisenstein series to the tredecic base

Authors

  • S. Cooper Massey University
  • D. Ye Massey University

Keywords:

Eisenstein series, Dedekind's eta function

Abstract

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. DOI: 10.1017/S0004972714000458

Published

2014-11-13

Issue

Vol. 91 No. 1 (2015)

Section

Articles
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