A remark on the Piatetski-Shapiro-Vinogradov theorem
A remark on the quadratic analogue of the Quillen-Suslin theorem.
A Remark on the Sato-Tate Conjecture.
A remark on the theory of Diophantine approximations
A remark on the theory of Diophantine approximations (Preliminary communication)
A remark on the zeta-function of an algebraic number field.
A remark on trigonometric sums
A remark on uniform 0-estimate for k-free integers.
A remark on Whittaker functions on SL
We prove the recursive integral formula of class one -Whittaker functions on SL conjectured and verified in case of by Stade.
A remark to a problem of J. Mycielski on arithmetic sequences
A Remark to the Paper of H. Hadwiger "Überdeckung des Raumes durch translationsgleiche Punktmengen und Nachbarnzahl".
A representation theorem for a class of rigid analytic functions
Let be a prime number, the field of -adic numbers and the completion of the algebraic closure of . In this paper we obtain a representation theorem for rigid analytic functions on which are equivariant with respect to the Galois group , where is a lipschitzian element of and denotes the -neighborhood of the -orbit of .
A restricted Epstein zeta function and the evaluation of some definite integrals
A restricted random walk defined via a Fibonacci process.
A result for case I of the Fermat problem.
A result for the 'other' variable of Ramanujan's sum.
A Result from Diophantine Approximation which has Applications in Economics.
A result on the digits of aⁿ
A Riemann-Hurwitz formula for the Selmer group of an elliptic curve with complex multiplication.
A rigidity phenomenon for the Hardy-Littlewood maximal function
The Hardy-Littlewood maximal function ℳ and the trigonometric function sin x are two central objects in harmonic analysis. We prove that ℳ characterizes sin x in the following way: Let be a periodic function and α > 1/2. If there exists a real number 0 < γ < ∞ such that the averaging operator has a critical point at r = γ for every x ∈ ℝ, then f(x) = a + bsin(cx+d) for some a,b,c,d ∈ ℝ. This statement can be used to derive a characterization of trigonometric functions as those nonconstant...