Lehmer's type congruences for lacunary harmonic sums
Hao Pan
TL;DR
This paper investigates Lehmer's type congruences specifically applied to lacunary harmonic sums, exploring their properties and potential implications in number theory.
Contribution
It introduces new congruence relations for lacunary harmonic sums inspired by Lehmer's work, expanding understanding of their arithmetic properties.
Findings
Established new Lehmer-type congruences for lacunary harmonic sums
Extended classical results to lacunary cases
Provided potential applications in number theory
Abstract
In this paper, we study the Lehmer's type congruences for lacunary harmonic sums.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Analytic Number Theory Research · Algebraic and Geometric Analysis