On the order of finitely generated subgroups of \(\mathbb{Q}^*\pmod p\) and divisors of \(p-1\)

DOI10.1006/jnth.1996.0044zbMath0847.11049OpenAlexW2020346256MaRDI QIDQ1912284

Francesco Pappalardi

Publication date: 6 May 1996

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

Full work available at URL: https://doi.org/10.1006/jnth.1996.0044

zbMATH Keywords

primitive rootsmultiplicatively independent integerslower bound on the order of a multiplicative group

Mathematics Subject Classification ID

Congruences; primitive roots; residue systems (11A07) Distribution of integers in special residue classes (11N69) Distribution of primes (11N05)

Related Items (17)

On the largest prime factor of \(n!+2^n-1\) ⋮ The distribution of sequences in residue classes ⋮ Prime divisors of sparse integers ⋮ Periods of orbits modulo primes ⋮ Pseudorandom numbers and hash functions from iterations of multivariate polynomials ⋮ Sums of primes and quadratic linear recurrence sequences ⋮ On the distribution of sparse sequences in prime fields and applications ⋮ Strong pseudoprimes to twelve prime bases ⋮ On the few products, many sums problem ⋮ ALMOST ALL PRIMES HAVE A MULTIPLE OF SMALL HAMMING WEIGHT ⋮ ON SUMS OF FIBONACCI NUMBERS MODULO p ⋮ PRIME DIVISORS OF LUCAS SEQUENCES AND A CONJECTURE OF SKAŁBA ⋮ Reductions of points on elliptic curves ⋮ Statistical distribution and collisions of VSH ⋮ Average results on the order of \(a\) modulo \(p\) ⋮ Exponential sums and prime divisors of sparse integers ⋮ ON CURVES OVER FINITE FIELDS WITH JACOBIANS OF SMALL EXPONENT

This page was built for publication: On the order of finitely generated subgroups of \(\mathbb{Q}^*\pmod p\) and divisors of \(p-1\)