Results 41 to 50 of about 769,013 (308)

On the Linear Complexity of New Generalized Cyclotomic Binary Sequences of Order Two and Period pqr

Tsinghua Science and Technology, 2016
Periodic sequences over finite fields, constructed by classical cyclotomic classes and generalized cyclotomic classes, have good pseudorandom properties.
Longfei Liu, Xiaoyuan Yang, Xiaoni Du, Bin Wei   +3 more
doaj   +1 more source

Generalized Lerch Primes

Integers, 2018
see the abstract in the attached pdf.
openaire   +4 more sources

Prime numbers in logarithmic intervals [PDF]

, 2010
Let $X$ be a large parameter. We will first give a new estimate for the integral moments of primes in short intervals of the type $(p,p+h]$, where $p\leq X$ is a prime number and $h=\odi{X}$.
A. Languasco, ZACCAGNINI, Alessandro, A. ZACCAGNINI, LANGUASCO, ALESSANDRO, Bazzanella, Danilo, Languasco, A., Zaccagnini, A., Languasco A., Zaccagnini A., D. BAZZANELLA   +9 more
core   +1 more source

Flat primes and thin primes [PDF]

, 2010
A number is called upper (lower) flat if its shift by +1 ( −1) is a power of 2 times a squarefree number. If the squarefree number is 1 or a single odd prime then the original number is called upper (lower) thin. Upper flat numbers which are primes arise
Broughan, Kevin A., Zhou, Qizhi
core   +1 more source

On Joint Approximation of Analytic Functions by Beurling Zeta-Functions

Mathematics
For j=1,…,r, let Pj be a system of generalized prime numbers, NPj the corresponding system of generalized integers, and ζPj(s), s=σ+it, the Beurling zeta-function. In the paper, we consider simultaneous approximation of a collection of analytic functions
Andrius Geštautas, Antanas Laurinčikas, Darius Šiaučiūnas   +2 more
doaj   +1 more source

On Generalized Reverse 3-primes Numbers

, 2020
In this paper, we introduce and investigate the generalized reverse 3-primes sequences and we deal with, in detail, three special cases which we call them reverse 3-primes, reverse Lucas 3-primes and reverse modified 3-primes sequences.
Yüksel Soykan
core   +1 more source

Combinatorics of H-primes in quantum matrices [PDF]

, 2006
For q epsilon C transcendental over Q, we give an algorithmic construction of an order-isomorphism between the set of H-primes of O-q (M-n (C)) and the sub-poset S of the (reverse) Bruhat order of the symmetric group S-2n consisting of those permutations
Stéphane Launois, Launois, Stephane
core   +1 more source

On Universality of Some Beurling Zeta-Functions

Axioms
Let P be the set of generalized prime numbers, and ζP(s), s=σ+it, denote the Beurling zeta-function associated with P. In the paper, we consider the approximation of analytic functions by using shifts ζP(s+iτ), τ∈R. We assume the classical axioms for the
Andrius Geštautas, Antanas Laurinčikas
doaj   +1 more source

On Generalized Mersenne and Fermat Primes [PDF]

, 2009
The classical Merseniie and Fermat primes are, respectivel3^ primes of the form 2^\u27 - 1 and 2^‘ + 1. The Mersenne primes have been studied since antiquity. It is known that if 2^ - 1 is prime then k is prime.
Putnam, Bette Catherine
core   +1 more source

On Discrete Shifts of Some Beurling Zeta Functions

Mathematics
We consider the Beurling zeta function ζP(s), s=σ+it, of the system of generalized prime numbers P with generalized integers m satisfying the condition ∑m⩽x1=ax+O(xδ), a>0, 0⩽δσP with some σP0, there exists a closed non-empty set of analytic functions ...
Antanas Laurinčikas, Darius Šiaučiūnas   +1 more
doaj   +1 more source