24 citations · 285 across the 74 of their papers we have counts for
6 papers · 1 filter
Artin's primitive root conjecture -a survey -
Pieter Moree
This is an expanded version of a write-up of a talk given in the fall of 2000 in Oberwolfach. A large part of it is intended to be understandable by non-number theorists with a mat…
On primes p for which d divides ord_p(g)
Pieter Moree
Let N_g(d) be the set of primes p such that the order of g modulo p is divisible by a prescribed integer d. Wiertelak showed that this set has a natural density and gave a rather i…
Around Pelikan's conjecture on very odd sequences
Pieter Moree, Patrick Sole
Very odd sequences were introduced in 1973 by J. Pelikan who conjectured that there were none of length >=5. This conjecture was disproved by MacWilliams and Odlyzko in 1977 who pr…
Primitive root producing quadratics
Pieter Moree
D.H. Lehmer found a quadratic polynomial such that 326 is a primitive root for the first 206 primes represented by this polynomial. It is shown that this is related to the class nu…
On the distribution of the order and index of g(mod p) over residue classes II
Pieter Moree
For a fixed rational number g different from -1,0,1 and integers a and d the set N_g(a,d) of primes p for which the order of g(mod p) is congruent to a(mod d) is considered. It is…
Some Heuristics and Results for Small Cycles of the Discrete Logarithm
Joshua Holden, Pieter Moree
Brizolis asked the question: does every prime p have a pair (g,h) such that h is a fixed point for the discrete logarithm with base g? The first author previously extended this que…