On the corner avoidance properties of various low-discrepancy sequences.
On the correlation of families of pseudorandom sequences of k symbols
In an earlier paper Gyarmati introduced the notion of f-correlation for families of binary pseudorandom sequences as a measure of randomness in the family. In this paper we generalize the f-correlation to families of pseudorandom sequences of k symbols and study its properties.
On the correlation of Piltz functions.
On the correlation of the truncated Liouville function
On the counting function for sums of two squares
On the counting function for the generalized Niven numbers
Given an integer base and a completely -additive arithmetic function taking integer values, we deduce an asymptotic expression for the counting functionunder a mild restriction on the values of . When , the base sum of digits function, the integers counted by are the so-called base Niven numbers, and our result provides a generalization of the asymptotic known in that case.
On the counting function for the Niven numbers
On the Covering Multiplicity of Lattices.
On the critical determinants of certain star bodies
In a classic paper, W.G. Spohn established the to-date sharpest estimates from below for the simultaneous Diophantine approximation constants for three and more real numbers. As a by-result of his method which used Blichfeldt’s Theorem and the calculus of variations, he derived a bound for the critical determinant of the star body In this little note, after a brief exposition of the basics of the geometry of numbers and its significance for Diophantine approximation, this latter result is improved...
On the critical pair theory in ℤ/pℤ
On the critical values of certain Dirichlet series and the periods of automorphic forms.
On the critical values of Hecke L-functions for imaginary quadratic fields.
On the critical values of Hecke L-series
On the cuspidal cohomology of -arithmetic subgroups of reductive groups over number fields
On the Cuspidal Cohomology of the Bianchi Modular Groups.
On the cuspidal divisor class group of a Drinfeld modular curve.
On the cycle map for products of elliptic curves over a p-adic field
On the cycle structure of linear recurring sequences.
On the cyclicity of a Galois module in local fields.
On the cyclotomic elements in K₂ of a rational function field
If l is a prime number, the cyclotomic elements in the l-torsion of K₂(k(x)), where k(x) is the rational function field over k, are investigated. As a consequence, a conjecture of Browkin is partially confirmed.