How often is \(d(n)\) a power of a given integer?

DOI10.1016/j.jnt.2021.07.020zbMath1489.11154OpenAlexW3197366746WikidataQ114156792 ScholiaQ114156792MaRDI QIDQ2116755

Titus W. Hilberdink

Publication date: 18 March 2022

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2021.07.020

zbMATH Keywords

divisor functionaverage behaviour of multiplicative functions

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Arithmetic functions; related numbers; inversion formulas (11A25) Other results on the distribution of values or the characterization of arithmetic functions (11N64)

Cites Work

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• The number of nonzero coefficients of modular forms mod \(p\)
• A zero-density theorem for the Riemann zeta-function
• On the distribution of the coefficients of modular forms modulo 𝑝^{𝑗}
• Arithmetical Notes, V. A Divisibility Property of the Divisor Function
• Handbook of Number Theory I
• WEAK PROPER DISTRIBUTION OF VALUES OF MULTIPLICATIVE FUNCTIONS IN RESIDUE CLASSES
• On distribution of values of multiplicative functions in residue classes
• Das asymptotische Verhalten von Summen über multiplikative Funktionen. II
• A Prime-Divisor Function
• On a Congruence Property of the Divisor Function

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