Sums of fractions modulo p

2015/10/27 by C. A. Díaz, Díaz, C. A., M. Z. Garaev +1
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.1510.07980

arxiv created 2015/10/27 · openalex publication_date 2015/10/27 · arxiv updated 2015/10/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let \F_p be the field of residue classes modulo a large prime p. The present paper is devoted to the problem of representability of elements of \F_p as sums of fractions of the form x/y with x,y from short intervals of \F_p.

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