Dedekind sums arising from newform Eisenstein series Academic Article uri icon

abstract

  • For primitive nontrivial Dirichlet characters [Formula: see text] and [Formula: see text], we study the weight zero newform Eisenstein series [Formula: see text] at [Formula: see text]. The holomorphic part of this function has a transformation rule that we express in finite terms as a generalized Dedekind sum. This gives rise to the explicit construction (in finite terms) of elements of [Formula: see text]. We also give a short proof of the reciprocity formula for this Dedekind sum.

published proceedings

  • INTERNATIONAL JOURNAL OF NUMBER THEORY

altmetric score

  • 0.25

author list (cited authors)

  • Stucker, T., Vennos, A., & Young, M. P.

citation count

  • 3

complete list of authors

  • Stucker, T||Vennos, A||Young, MP

publication date

  • November 2020