Upper and lower bounds for a function related to Brown's Lemma.
Upper bounds on the cardinality of higher sumsets
Let A and B be finite sets in a commutative group. We bound |A+hB| in terms of |A|, |A+B| and h. We provide a submultiplicative upper bound that improves on the existing bound of Imre Ruzsa by inserting a factor that decreases with h.
Using Bonse's inequality to find upper bounds on prime gaps.
Using Lucas sequences to generalize a theorem of Sierpiński
Values of linear recurring sequences of vectors over finite fields
Values taken by linear combinations of cosine functions.
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.
Variation of periods modulo in arithmetic dynamics.
Variations on a theme of Sierpiński.
Vector-covering systems of arithmetic sequences
Vector-covering systems with a single triple of equal moduli
Verallgemeinerte Dedekindsche Summen und ein Gitterpunktproblem im n-dimensionalen Raum.
Verallgemeinerte Eulersche Zahlen.
Verfeinerte Lösung der asymptotischen Dichtenaufgabe.
Verzichtbare und unverzichtbare Elemente bei der Darstellung als Summe und als Differenz von Quadraten
Vieta's triangular array and a related family of polynomials.
Visible point vector summations from hypercube and hyperpyramid lattices.
Visible Points on Modular Exponential Curves
We obtain an asymptotic formula for the number of visible points (x,y), that is, with gcd(x,y) = 1, which lie in the box [1,U] × [1,V] and also belong to the exponential modular curves . Among other tools, some recent results of additive combinatorics due to J. Bourgain and M. Z. Garaev play a crucial role in our argument.