On the distribution of the order and index of \(g \pmod p\) over residue classes. II

DOI10.1016/j.jnt.2005.06.006zbMath1099.11053arXivmath/0404339OpenAlexW2117841508MaRDI QIDQ2488823

Pieter Moree

Publication date: 16 May 2006

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

Full work available at URL: https://arxiv.org/abs/math/0404339

zbMATH Keywords

distribution

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Distribution of integers in special residue classes (11N69) Density theorems (11R45)

Related Items (4)

On the average number of elements in a finite field with order or index in a prescribed residue class ⋮ Congruences for the \(q\)-Fibonacci sequence related to its transcendence ⋮ PRIMES IN A PRESCRIBED ARITHMETIC PROGRESSION DIVIDING THE SEQUENCE $\{a^k+b^k\}_{k=1}^{\infty}$ ⋮ On the distribution of the order over residue classes

Cites Work

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• On primes \(p\) for which \(d\) divides \(\text{ord}_p(g)\)
• A conjecture of Krishnamurthy on decimal periods and some allied problems
• Square free values of the order function
• Mertens' theorem for arithmetic progressions
• On the distribution of the order and index of \(g\) (mod \(p\)) over residue classes. I
• On the density of some sets of primes, IV
• On Artin's conjecture.
• On a distribution property of the residual order of \(a\pmod p\). II

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