On the number of odd values of the Klein j-function and the cubic partition function

Document Type

Article

Publication Date

6-2015

Abstract

Using entirely algebraic or elementary methods, partly inspired by recent ideas of P. Monsky on quadratic representations, we determine a new asymptotic lower bound for the number of odd values of a fundamental modular function in number theory, the Klein j-function.

Publisher's Statement

© 2015 Elsevier Inc. All rights reserved. Publisher’s version of record: https://doi.org/10.1016/j.jnt.2014.12.022

Publication Title

Journal of Number Theory

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