A problem analogous to Artin's conjecture for primitive roots and its applications

DOI10.1007/BF01199060zbMath0755.11029WikidataQ123365996 ScholiaQ123365996MaRDI QIDQ1193272

Leo Murata

Publication date: 27 September 1992

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

Artin's conjectureprimitive rootsgeneralized Riemann hypothesisHooley's method

Mathematics Subject Classification ID

Distribution of integers in special residue classes (11N69) Zeta functions and (L)-functions of number fields (11R42)

Related Items (17)

A PROBLEM OF FOMENKO'S RELATED TO ARTIN'S CONJECTURE ⋮ On the average number of elements in a finite field with order or index in a prescribed residue class ⋮ On a distribution property of the residual order of \(a\pmod p\). I ⋮ An analogue of Artin's conjecture for multiplicative subgroups of the rationals ⋮ Certain diagonal equations and conflict-avoiding codes of prime lengths ⋮ Covering sumsets of a prime field and class numbers ⋮ Higher rank generalizations of Fomenko's conjecture ⋮ On a distribution property of the residual order of \(a\pmod p\) with a quadratic residue condition ⋮ Congruences for the \(q\)-Fibonacci sequence related to its transcendence ⋮ Near-primitive roots ⋮ On a disctribution property of the residual order of \(a\pmod p\) ⋮ On the magnitude of the least prime primitive root ⋮ On a problem of Schinzel and Wójcik involving equalities between multiplicative orders ⋮ Results and estimates on pseudopowers ⋮ Density of the quasi \(r\)-rank Artin problem ⋮ Asymptotically exact heuristic for (near) primitive roots. ⋮ On the distribution of the order and index of \(g\) (mod \(p\)) over residue classes. I

Cites Work

• Unnamed Item
• Unnamed Item
• On the magnitude of the least prime primitive root
• An average type result on the number of primes satisfying generalized Wieferich condition
• On Artin's conjecture and Euclid's algorithm in global fields
• Pseudoprimes and a generalization of Artin's conjecture
• A generalisation of Artin's conjecture for primitive roots
• On Artin's conjecture.

This page was built for publication: A problem analogous to Artin's conjecture for primitive roots and its applications