Divisors of the Gaussian integers in an arithmetic progression

DOI10.1016/0022-314X(89)90003-6zbMath0682.10033OpenAlexW2002283863MaRDI QIDQ1823981

P. D. Varbanec, Piotr Zarzycki

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0022-314x(89)90003-6

zbMATH Keywords

arithmetic progressionsummatory functionnumber of divisorsGaussian integerasymptotic result

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Primes in congruence classes (11N13) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (3)

When the nontrivial, small divisors of a natural number are in arithmetic progression ⋮ When the Large Divisors of a Natural Number Are in Arithmetic Progression ⋮ Unnamed Item

Cites Work

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• Topics in multiplicative number theory
• On a Result of Smith and Subbarao Concerning a Divisor Problem
• The Average Number of Divisors in an Arithmetic Progression
• The zeros of the Riemann zeta-function

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