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» On the least prime primitive root modulo a prime
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ANTS
1998
Springer
114views Algorithms» more  ANTS 1998»
13 years 9 months ago
Dense Admissible Sets
Call a set of integers {b1, b2, . . . , bk} admissible if for any prime p, at least one congruence class modulo p does not contain any of the bi. Let (x) be the size of the largest...
Daniel M. Gordon, Eugene R. Rodemich
ANTS
2010
Springer
291views Algorithms» more  ANTS 2010»
13 years 9 months ago
Fixed Points for Discrete Logarithms
: We establish a conjecture of Brizolis that for every prime p > 3 there is a primitive root r and an integer t in the interval [1, p − 1] with logr t = t. Here, logr is the d...
Mariana Levin, Carl Pomerance, K. Soundararajan
ASIACRYPT
2003
Springer
13 years 10 months ago
Rotations and Translations of Number Field Sieve Polynomials
We present an algorithm that finds polynomials with many roots modulo many primes by rotating candidate Number Field Sieve polynomials using the Chinese Remainder Theorem. We also...
Jason E. Gower
ISSAC
1989
Springer
87views Mathematics» more  ISSAC 1989»
13 years 9 months ago
An Improved Las Vegas Primality Test
: We present a modification of the Goldwasser-Kilian-Atkin primality test, which, when given an input n, outputs either prime or composite, along with a certificate of correctnes...
Erich Kaltofen, T. Valente, Norika Yui
MOC
2002
113views more  MOC 2002»
13 years 4 months ago
Computation of several cyclotomic Swan subgroups
Let Cl(OK [G]) denote the locally free class group, that is the group of stable isomorphism classes of locally free OK [G]-modules, where OK is the ring of algebraic integers in th...
Timothy Kohl, Daniel R. Replogle