Lacunary recurrences and 2-adic properties of Eisenstein series
Number Theory
2026-05-12 v1
Abstract
We study the rational coefficients that arise when the Eisenstein series is expressed as a polynomial in and . We prove a recent conjecture giving an exact formula for the minimal 2-adic valuation of these coefficients in terms of the binary expansion of the weight. The proof uses lacunary recurrences for Eisenstein series.
Cite
@article{arxiv.2605.09738,
title = {Lacunary recurrences and 2-adic properties of Eisenstein series},
author = {Liubomir Chiriac and Andrei Jorza},
journal= {arXiv preprint arXiv:2605.09738},
year = {2026}
}