On the solutions of certain diagonal quadratic equations and Lang's conjecture
On the solutions of diophantine equations in units
On the solutions of .
On the Solvability of a Certain Class of Non-Pellian Equations.
On the spaces of Eisenstein series of Hilbert modular groups.
On the spacing between terms of generalized Fibonacci sequences
For k ≥ 2, the k-generalized Fibonacci sequence is defined to have the initial k terms 0,0,...,0,1 and be such that each term afterwards is the sum of the k preceding terms. We will prove that the number of solutions of the Diophantine equation (under some weak assumptions) is bounded by an effectively computable constant depending only on c.
On the special solutions of an equation in a finite field.
On the spectrum of the Thue-Morse quasicrystal and the rarefaction phenomenon
The spectrum of a weighted Dirac comb on the Thue-Morse quasicrystal is investigated by means of the Bombieri-Taylor conjecture, for Bragg peaks, and of a new conjecture that we call Aubry-Godrèche-Luck conjecture, for the singular continuous component. The decomposition of the Fourier transform of the weighted Dirac comb is obtained in terms of tempered distributions. We show that the asymptotic arithmetics of the -rarefied sums of the Thue-Morse sequence (Dumont; Goldstein, Kelly and Speer; Grabner;...
On the speed of convergence of the Oppenheim series
On the spezialschar of Maass.
On the sphere problem.
One of the oldest problems in analytic number theory consists of counting points with integer coordinates in the d-dimensional ball. It is very easy to find a main term for the counting function, but the size of the error term is difficult to estimate (...).
On the spinor zeta functions problem: higher power moments of the Riesz mean
Let F be a Siegel cusp form of integral weight k on the Siegel modular group Sp₂(ℤ) of genus 2. The coefficients of the spinor zeta function are denoted by cₙ. Let be the Riesz mean of cₙ. Kohnen and Wang obtained the truncated Voronoï-type formula for under the Ramanujan-Petersson conjecture. In this paper, we study the higher power moments of , and then derive an asymptotic formula for the hth (h=3,4,5) power moments of by using Ivić’s large value arguments and other techniques.
On the splitting of primes in an arithmetic progression. II
On the Square Factors of the Numbers of Fermat and Ferentinou-Nicolakopoulou
On the square root of special values of certain L-series.
On the square-free sieve
On the Star-Discrepancy of Generalized Hammersley Sequences in Two Dimensions.
On the Stark-Shintani units and the ideal class groups in the cyclotomic -extensions of class fields over real quadratic fields
On the stationary points of Hardy's function Z(t)
On the statistical and σ-cores
In [11] and [7], the concepts of σ-core and statistical core of a bounded number sequence x have been introduced and also some inequalities which are analogues of Knopp’s core theorem have been proved. In this paper, we characterize the matrices of the class and determine necessary and sufficient conditions for a matrix A to satisfy σ-core(Ax) ⊆ st-core(x) for all x ∈ m.