On the diophantine equation
On the diophantine equation
On the diophantine equations
On the diophantine equations 2y2 = 7k + 1 and x2 + 11 = 3n.
On the Diophantine equations of type .
On the diophantine Frobenius problem.
On the Dirichlet characters of polynomials in several variables
On the Dirichlet polynomial of finite group of Lie type
On the discrepancy estimate of normal numbers
On the Discrepancy of Convex Plane Sets.
On the discrepancy of inversive congruential pseudorandom numbers with prime power modulus.
On the discrepancy of inversive congruential pseudorandom numbers with prime power modulus, II.
On the discrepancy of Markov-normal sequences
We construct a Markov normal sequence with a discrepancy of . The estimation of the discrepancy was previously known to be .
On the discrepancy of (nα)
On the discrepancy of quasi-progressions.
On the discrepancy of sequences associated with the sum-of-digits function
If denotes the sequence of best approximation denominators to a real , and denotes the sum of digits of in the digit representation of to base , then for all irrational, the sequence is uniformly distributed modulo one. Discrepancy estimates for the discrepancy of this sequence are given, which turn out to be best possible if has bounded continued fraction coefficients.
On the discrepancy of some hybrid sequences
On the discrete logarithm problem for plane curves
In this article the discrete logarithm problem in degree 0 class groups of curves over finite fields given by plane models is studied. It is proven that the discrete logarithm problem for non-hyperelliptic curves of genus 3 (given by plane models of degree 4) can be solved in an expected time of , where is the cardinality of the ground field. Moreover, it is proven that for every fixed natural number the following holds: We consider the discrete logarithm problem for curves given by plane models...
On the Dispersion Spectrum.
On the dispersions of the polynomial maps over finite fields.