Results 261 to 270 of about 3,057,361 (276)

Multidimensional configurations in the primes with shifted prime steps

2019
12 ...
Le, Anh, L��, Th��i Ho��ng
openaire   +1 more source

Shifted primes with large prime power divisors

2022
Summary: We obtain significant lower bounds for the number of shifted prime numbers having a relatively large prime power divisor, where being large has various quantifications. For any given \(k\geq 2\), our results show the existence of infinitely many prime numbers \(p\) that lie over certain admissible arithmetic progressions, and of the form \(p=q^
openaire   +2 more sources

Additive and Multiplicative Functions on Shifted Primes

Proceedings of the London Mathematical Society, 1989
The behavior of additive and multiplicative arithmetic functions on the sequence \(\{p+1\}\) of shifted primes is investigated, and a complete analog of the Erdös-Wintner theorem for additive functions as well as a partial analog of Halász' mean value theorem for multiplicative functions are established.
openaire   +1 more source

Monotone additive functions on shifted primes

The Ramanujan Journal, 2007
Generalising a sixty year old result of Erdos, it is proved that an additive arithmetic function that is non-decreasing on the shifted primes is essentially a logarithm.
openaire   +1 more source

Numbers Divisible by a Large Shifted Prime and Large Torsion Subgroups of CM Elliptic Curves

, 2016
Nathan McNew, P. Pollack, C. Pomerance
semanticscholar   +1 more source

On an application of the large sieve: Shifted prime numbers, which have no prime divisors from a given arithmetical progression

, 1970
I. Kátai
semanticscholar   +1 more source

Nov��k-Carmichael numbers and shifted primes without large prime factors

2017
We prove some new lower bounds for the counting function $\mathcal N_{\mathcal C}(x)$ of the set of Nov k-Carmichael numbers. Our estimates depend on the bounds for the number of shifted primes without large prime factors. In particular, we prove that $\mathcal N_{\mathcal C}(x) \gg x^{0.7039-o(1)}$ unconditionally and that $\mathcal N_{\mathcal C}(x)
openaire   +1 more source

Sums of characters in sequences of shifted prime numbers, with applications

, 1975
A. Karatsuba
semanticscholar   +1 more source

Application of Postnikov’s formula for estimation of short sums of Dirichlet characters over shifted prime numbers

, 2008
A. A. Kopaneva
semanticscholar   +1 more source

The Number of Prime Factors Function on Shifted Primes and Normal Numbers

, 2014
J. Koninck, I. Kátai
semanticscholar   +1 more source