Valeurs propres et vecteurs propres d’un opérateur de Hecke sur
Values of special indefinite quadratic forms
Variance of number of lattice points in random narrow elliptic strip
Variation of the number of lattice points in large balls
Variation on a theme of MacDonald.
Variations sur un thème de Siegel et Hecke
Variations sur un thème de Siegel-Hecke.
Variations sur un thème de Siegel-Hecke
Verallgemeinerte Dedekindsche Summen und ein Gitterpunktproblem im n-dimensionalen Raum.
Verzichtbare und unverzichtbare Elemente bei der Darstellung als Summe und als Differenz von Quadraten
Věty o střední hodnotě z teorie mřížových bodů. 6. pojednání
Visibility of lattice points
Visible point vector summations from hypercube and hyperpyramid lattices.
Von Polyedern im ganzzahligen Gitter.
Waring's number for large subgroups of ℤ*ₚ*
Let p be a prime, ℤₚ be the finite field in p elements, k be a positive integer, and A be the multiplicative subgroup of nonzero kth powers in ℤₚ. The goal of this paper is to determine, for a given positive integer s, a value tₛ such that if |A| ≫ tₛ then every element of ℤₚ is a sum of s kth powers. We obtain , and for s ≥ 6, . For s ≥ 24 further improvements are made, such as and .
Waring’s problem for Beatty sequences and a local to global principle
We investigate in various ways the representation of a large natural number as a sum of positive -th powers of numbers from a fixed Beatty sequence. Inter alia, a very general form of the local to global principle is established in additive number theory. Although the proof is very short, it depends on a deep theorem of M. Kneser.
Waring’s problem for [Book]
Waring's Problem for Fields
Waring's problem for fields
If K is a field, denote by P(K,k) the a ∈ K which are sums of kth powers of elements of K, by P⁺(K,k) the set of a ∈ K which are sums of kth powers of totally positive elements of K. We give some simple conditions for which there exist integers w(K,k) and g(K,k) such that: a ∈ P(K,k) implies that a is the sum of at most w(K,k) kth powers; a ∈ P⁺(K,k) implies that a is the sum of at most g(K,k) totally positive kth powers. We apply the results to characterise functions that are sums of kth powers...
Waring's problem for polynomial cubes and squares over a finite field with odd characteristic.