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.
On the statistical properties of finite continued fractions.
On the Stickelberger Ideal and the Circular Units of an Abelian Field.
On the Stickelberger ideal of (2, ..., 2)-extensions of a cyclotomic number field.
On the strongly ambiguous classes of some biquadratic number fields
We study the capitulation of -ideal classes of an infinite family of imaginary bicyclic biquadratic number fields consisting of fields , where and are different primes. For each of the three quadratic extensions inside the absolute genus field of , we determine a fundamental system of units and then compute the capitulation kernel of . The generators of the groups and are also determined from which we deduce that is smaller than the relative genus field . Then we prove that each...
On the Structure of a Graded Ring of Automorphic Forms on the 2-Dimensional Complex Ball. II.
On the Structure of a Graded Ring of Automorphic Forms on the 2-Dimensional Complex Ball.
On the structure of certain Galois cohomology groups.
On the Structure of Certain Galois Groups.