On cubic multisections of Eisenstein series

Authors

Andrew Alaniz, The University of Texas Rio Grande Valley
Timothy Huber, The University of Texas Rio Grande ValleyFollow

Document Type

Article

Publication Date

1-22-2014

Abstract

A systematic procedure for generating cubic multisections of Eisenstein series is given. The relevant series are determined from Fourier expansions for Eisenstein series by restricting the congruence class of the summation index modulo three. We prove that the resulting series are rational functions of η(τ) and η(3τ), where η is the Dedekind eta function. A more general treatment of cubic dissection formulas is given by describing the dissection operators in terms of linear transformations. These operators exhibit properties that mirror those of similarly defined quintic operators.

Comments

Original published version available at https://doi.org/10.1007/s11139-013-9540-9

https://rdcu.be/c56mF

Recommended Citation

Alaniz, A., Huber, T. On cubic multisections of Eisenstein series. Ramanujan J 35, 391–403 (2014). https://doi.org/10.1007/s11139-013-9540-9

Publication Title

Ramanujan J

DOI

10.1007/s11139-013-9540-9