The kernel of newform Dedekind sums

Abstract

Newform Dedekind sums are a class of crossed homomorphisms that arise from newform Eisenstein series. We initiate a study of the kernel of these newform Dedekind sums. Our results can be loosely described as showing that these kernels are neither "too big" nor "too small." We conclude with an observation about the Galois action on Dedekind sums that allows for significant computational efficiency in the numerical calculation of Dedekind sums.

arXiv comment8+epsilon pages, 2 figures

References in corpus (3)

• Explicit calculations with Eisenstein series
• Dedekind sums arising from newform Eisenstein series
• An average of generalized Dedekind sums

Cited by in corpus (1)

• Reciprocity and the Kernel of Dedekind Sums