Dedekind cotangent sums
Dedekind Sums and Class Numbers.
Density theorems for exceptional eigenvalues of the Laplacian for congruence groups
Der Paleysche Satz über Charaktere.
Determination of modulo p
Diagonal cubic equations. II
Die galoisschen Gauss΄schen Summen von Hasse
Difference sets and the primes
Digital expansion of exponential sequences
We consider the -ary digital expansion of the first terms of an exponential sequence . Using a result due to Kiss and Tichy [8], we prove that the average number of occurrences of an arbitrary digital block in the last digits is asymptotically equal to the expected value. Under stronger assumptions we get a similar result for the first digits, where is a positive constant. In both methods, we use estimations of exponential sums and the concept of discrepancy of real sequences modulo ...
Diophantine approximation by square-free numbers
Dirichlet character sums
Discrete analogues of singular and maximal Radon transforms.
Distribution of consecutive modular roots of an integer
Distribution of difference between inverses of consecutive integers modulo .
Distribution of the power generator over a residue ring for parts of the period.
Distribution properties of digital expansions arising from linear recurrences
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...
Distributions on Toroidal Groups.
Durchschnitte von Pjateckij-Shapiro-Folgen.