Values of cyclotomic polynomials at roots of unity.
Values of integer-valued multiplicative functions in residue classes
Values of isotropic quadratic forms at -integral points
Values of linear recurring sequences of vectors over finite fields
Values of L-series of Modular Forms at the Center of the Critical Strip.
Values of meromorphic functions of order 2
Values of p-adic L-functions and a p-adic Poisson kernel.
Values of polynomials with integer coefficients and distance to their common zeros
Values of quadratic forms at primitive integral points.
Values of special indefinite quadratic forms
Values taken by linear combinations of cosine functions.
Van der Corput sequences towards general (0,1)–sequences in base b
As a result of recent studies on unidimensional low discrepancy sequences, we can assert that the original van der Corput sequences are the worst distributed with respect to various measures of irregularities of distribution among two large families of –sequences, and even among all –sequences for the star discrepancy . We show in the present paper that it is not the case for the extreme discrepancy by producing two kinds of sequences which are the worst distributed among all –sequences, with...
Van der Corput sets in
In this partly expository paper we study van der Corput sets in , with a focus on connections with harmonic analysis and recurrence properties of measure preserving dynamical systems. We prove multidimensional versions of some classical results obtained for d = 1 by Kamae and M. Mendès France and by Ruzsa, establish new characterizations, introduce and discuss some modifications of van der Corput sets which correspond to various notions of recurrence, provide numerous examples and formulate some...
Van der Waerden theorem for sequences of integers not containing an arithmetic progression of terms
Van der Waerden's theorem and avoidability in words.
Vandermonde nets
The second-named author recently suggested identifying the generating matrices of a digital (t,m,s)-net over the finite field with an s × m matrix C over . More exactly, the entries of C are determined by interpreting the rows of the generating matrices as elements of . This paper introduces so-called Vandermonde nets, which correspond to Vandermonde-type matrices C, and discusses the quality parameter and the discrepancy of such nets. The methods that have been successfully used for the investigation...
Vanishing periods of cusp forms over modular symbols.
Variance of number of lattice points in random narrow elliptic strip
Variants of the Brocard-Ramanujan equation
In this paper, we discuss variations on the Brocard-Ramanujan Diophantine equation.
Variation of periods modulo in arithmetic dynamics.