Article citationsMore>>

Macdonald, I.G. (1972) Affine Root Systems and Dedekind’s η-Function. Inventiones Mathematicae, 15, 91-143.
http://dx.doi.org/10.1007/BF01418931

has been cited by the following article:

• TITLE: Fourier Coefficients of a Class of Eta Quotients of Weight 16 with Level 12

  AUTHORS: Barış Kendirli

  KEYWORDS: Dedekind Eta Function, Eta Quotients, Fourier Series

  JOURNAL NAME: Applied Mathematics, Vol.6 No.8, July 31, 2015

  ABSTRACT: Recently, Williams [1] and then Yao, Xia and Jin [2] discovered explicit formulas for the coefficients of the Fourier series expansions of a class of eta quotients. Williams expressed all coefficients of 126 eta quotients in terms of and and Yao, Xia and Jin, following the method of proof of Williams, expressed only even coefficients of 104 eta quotients in terms of and . Here, by using the method of proof of Williams, we will express the even Fourier coefficients of 360 eta quotients i.e., the Fourier coefficients of the sum, f(q) + f(?q), of 360 eta quotients in terms of and .