Determination of modulo p
Die galoisschen Gauss΄schen Summen von Hasse
Distribution of difference between inverses of consecutive integers modulo .
Distributional properties of powers of matrices
We apply the larger sieve to bound the number of matrices not having large order when reduced modulo the primes in an interval. Our motivation is the relation with linear recursive congruential generators. Basically our results establish that the probability of finding a matrix with large order modulo many primes drops drastically when a certain threshold involving the number of primes and the order is exceeded. We also study, for a given prime and a matrix, the existence of nearby non-similar...