Vector-covering systems of arithmetic sequences
Vector-covering systems with a single triple of equal moduli
Verschlingungsinvarianten von Knoten und Verkettungen mit zwei Brücken.
Visible Points on Curves over Finite Fields
For a prime p and an absolutely irreducible modulo p polynomial f(U,V) ∈ ℤ[U,V] we obtain an asymptotic formula for the number of solutions to the congruence f(x,y) ≡ a (mod p) in positive integers x ≤ X, y ≤ Y, with the additional condition gcd(x,y) = 1. Such solutions have a natural interpretation as solutions which are visible from the origin. These formulas are derived on average over a for a fixed prime p, and also on average over p for a fixed integer a.
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.
Základové nauky o číslech. [I.]
Základové nauky o číslech. [II.]
Základové nauky o číslech. [III.]
Základové nauky o číslech. [IV.]
Zbytky z arithmetické posloupnosti
Zur Theorie der Bernoullischen Zahlen.
Zur Theorie des Fermatschen Quotienten ..................
-primitive roots
Замечание об одной комбинаторной задаче
О простых идеалах в группоидах и в мультипликативных полугруппах классов вычетов (mod m)
О распределении корней квадратичного сравнения
О числе решений сравнения n-й степени с одним неизвестным
Об одной комбинаторной задаче из теории сравнений