Title

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

Authors

Fabrizio Zanello, Michigan Technological UniversityFollow

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

Recommended Citation

Zanello, F. (2015). On the number of odd values of the Klein j-function and the cubic partition function. Journal of Number Theory, 151, 107-115. http://doi.org/10.1016/j.jnt.2014.12.022
Retrieved from: https://digitalcommons.mtu.edu/math-fp/55