Sums of Fractions and Finiteness of Monodromy

2016/12/14 by Eknath Ghate, Ghate, Eknath, T. N. Venkataramana +1
Mathematics · #33C65 #Advanced Algebra and Geometry #FOS: Mathematics #Finite Group Theory Research #Mathematics and Applications #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1612.04548

openalex publication_date 2016/12/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We solve an elementary number theory problem on sums of fractional parts, using methods from group theory. We apply our result to deduce the finiteness of certain monodromy representations.

Related

• Sums of products of fractional parts
• Sums of four and more unit fractions and approximate parametrizations
• Sums of fractions modulo p
• The fractional parts of Dedekind sums
• Finite monodromy of some families of exponential sums