On a distribution property of the residual order of \(a\pmod p\) with a quadratic residue condition

DOI10.3836/tjm/1358951329zbMath1276.11149OpenAlexW2001040173MaRDI QIDQ1943247

Chikako Tamura, Koji Chinen

Publication date: 19 March 2013

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tjm/1358951329

zbMATH Keywords

Artin's conjecture for primitive rootResidual order

Mathematics Subject Classification ID

Cyclotomic extensions (11R18) Distribution of integers with specified multiplicative constraints (11N25) Distribution of primes (11N05)

Related Items (1)

Multiplicative Order and Frobenius Symbol for the Reductions of Number Fields

Cites Work

• Unnamed Item
• On a distribution property of the residual order of \(a\pmod p\). I
• A conjecture of Krishnamurthy on decimal periods and some allied problems
• A problem analogous to Artin's conjecture for primitive roots and its applications
• Über die Dichte der Primzahlen \(p\), für die eine vorgegebene ganzrationale Zahl \(a\neq 0\) von durch eine vorgegebene Primzahl \(l\neq 2\) teilbarer bzw. unteilbarer Ordnung \(\mod p\) ist
• Über die Dichte der Primzahlen \(p\), für die eine vorgegebene ganzrationale Zahl \(a\neq 0\) von gerader bzw. ungerader Ordnung \(\mod p\) ist
• On Artin's conjecture.
• On a distribution property of the residual order of \(a\pmod p\). II

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