The Distribution of 4-Full Numbers.
The distribution of 4-full numbers
The Distribution of Integers n Divisible by Lomega(n)
The Distribution of Powerful Integers of Type 4.
The distribution of square-free numbers of the form
It is proved that the sequence contains infinite squarefree integers whenever , which improves Rieger’s earlier range .
The distribution of squarefull numbers in short intervals
The divisor function over arithmetic progressions
The exponential sum over squarefree integers
The Goldston-Pintz-Yıldırım sieve and maximal gaps
The greatest prime factor of the integers in an interval
The jumping champions of the Farey series
The number of cube-full numbers in an interval
The number of squarefull numbers in an interval
The Turán-Kubilius inequality for integers free of large prime factors (II)
Topological aspects of infinitude of primes in arithmetic progressions
We investigate properties of coset topologies on commutative domains with an identity, in particular, the 𝓢-coprime topologies defined by Marko and Porubský (2012) and akin to the topology defined by Furstenberg (1955) in his proof of the infinitude of rational primes. We extend results about the infinitude of prime or maximal ideals related to the Dirichlet theorem on the infinitude of primes from Knopfmacher and Porubský (1997), and correct some results from that paper. Then we determine cluster...
Uber die Anzahl der Zahlen ≡―1 (mod.d) die keinen Primteiler derselben Form haben
Über die kleinste quadratfreie Zahl einer arithmetischen Reihe.
Über die kleinsten quadratfreien Zahlen in arithmetischen Progressionen mit primen Differenzen.
Über die kleinsten quadratfreien Zahlen in arithmetischen Progressionen.
Über einige Analoga zum Bombierischen Primzaflsatz.