Work

Identities for sums of floor and ceiling functions of rational numbers

Year: 2025

Type: article

Abstract: Research into sums involving floor or ceiling functions has been a popular focus in number theory.This paper investigates formulas for sums of the type n k=1 F pk q , where F represents either the floor or ceiling function, and p, q are coprime integers.Generalizing from Palatsang et al's work in 2021, we could derive explicit simple formulas, verify their uniqueness, and identify certain conditions of p and q under which these formulas are invalid.

Source: ScienceAsia

DOI: 10.2306/scienceasia1513-1874.2025.058

Authors: Atiratch Laoharenoo, Chanatip Sujsuntinukul

Institution: University of Hong Kong

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4412376386

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