Sätze über Primzahlen.
Sätze über Primzahlen II.
Scharfe untere Abschätzung für die Anzahlfunktion der B-Zwillinge
Schwache asymptotische Eigenschaften schnellwachsender multiplikativer zahlentheoretischer Funktionen.
Selberg's sieve estimate with a one sided hypothesis
Semi-k-free Integers.
Sequences and series involving the sequence of composite numbers.
Sequences related to the sum of divisors
Sequenzen der Länge 2 von Restklassencharakteren.
Sets of integers and quasi-integers with pairwise common divisor
Sets of integers composed of few prime numbers
Sets of integers with pairwise common divisor and a factor from a specified set of primes
Sets of Primes with Intermediate Density.
Sharp elementary estimates for the sequence of primes
Shifted B-numbers as a set of uniqueness for additive and multiplicative functions
Shifted primes without large prime factors
Shifted values of the largest prime factor function and its average value in short intervals
We obtain estimates for the average value of the largest prime factor P(n) in short intervals [x,x+y] and of h(P(n)+1), where h is a complex-valued additive function or multiplicative function satisfying certain conditions. Letting stand for the sum of the digits of n in base q ≥ 2, we show that if α is an irrational number, then the sequence is uniformly distributed modulo 1.
Short interval results for k-free values of irreducible polynomials
Short intervals almost all containing primes
Short sums of restricted Möbius functions