Mittelwerte zahlentheoretischer Funktionen und lineare Kongruenzsysteme.
Mittlere Darstellungen natürlicher Zahlen als Summe von -ten Potenzen
Modifications of the Eratosthenes sieve
We discuss some cancellation algorithms such that the first non-cancelled number is a prime number p or a number of some specific type. We investigate which numbers in the interval (p,2p) are non-cancelled.
Module de continuité de la fonction de répartition de φ(n)/n
Moment convergence and the law of iterated logarithm for additive functions
Moments of additive functions and special sets
Moments of Sifted Sequences.
Monotonicity of multiplicative functions
Montgomery's Weighted Sieve for Dimension Two.
Multiple exponential sums with monomials
Multiple finite Riemann zeta functions
Multiplicative functions and Brun's sieve
Multiplicative functions dictated by Artin symbols
Granville and Soundararajan have recently suggested that a general study of multiplicative functions could form the basis of analytic number theory without zeros of L-functions; this is the so-called pretentious view of analytic number theory. Here we study multiplicative functions which arise from the arithmetic of number fields. For each finite Galois extension K/ℚ, we construct a natural class of completely multiplicative functions whose values are dictated by Artin symbols, and we show that...
Multiplicative functions of polynomial values in short intervals
Multiplicative functions over short segments
Multiplicative functions with difference tending to zero
Multiplikative Funktionen auf kurzen Intervallen.
Multiplikative Funktionen auf schnell wachsenden Folgen.
Multiplikative Funktionen mehrerer Variablen.
Natural divisors and the brownian motion
A model of the Brownian motion defined in terms of the natural divisors is proposed and weak convergence of the related measures in the space [0,1] is proved. An analogon of the Erdös arcsine law, known for the prime divisors [6] (see [14] for the proof), is obtained. These results together with the author’s investigation [15] extend the systematic study [9] of the distribution of natural divisors. Our approach is based upon the functional limit theorems of probability theory.