Moments of restricted divisor functions
Muhammad Afifurrahman, Chandler C. Corrigan
TL;DR
This paper investigates the higher-power moments of restricted divisor functions and establishes results on the distribution of solutions to related multiplicative Diophantine equations.
Contribution
It introduces new bounds and distribution results for restricted divisor functions and their moments, extending understanding of multiplicative Diophantine equations.
Findings
Derived bounds for higher-power moments of restricted divisor functions
Established distribution properties of solutions to specific Diophantine equations
Extended previous results in divisor function analysis
Abstract
In this article, we study the higher-power moments of restricted divisor functions. In order to establish our main results, we prove a more general result pertaining to the distribution of solutions to certain multiplicative Diophantine equations.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Advanced Numerical Analysis Techniques · Polynomial and algebraic computation