Results 21 to 30 of about 626,535 (304)

On the distribution of Atkin and Elkies primes for reductions of elliptic curves on average [PDF]

, 2015
For an elliptic curve E/Q without complex multiplication we study the distribution of Atkin and Elkies primes l, on average, over all good reductions of E modulo primes p.
Andrew, Igor E. Shparlinski, V. Sutherland   +2 more
core   +2 more sources

Prime factors [PDF]

Proceedings of the National Academy of Sciences, 1996
We use Voiculescu’s free probability theory to prove the existence of prime factors, hence answering a longstanding problem in the theory of von Neumann algebras.
openaire   +3 more sources

Primes with restricted digits [PDF]

Inventiones Mathematicae, 2016
Let $$a_0\in \{0,\ldots ,9\}$$a0∈{0,…,9}. We show there are infinitely many prime numbers which do not have the digit $$a_0$$a0 in their decimal expansion.
J. Maynard
semanticscholar   +1 more source

Survey the extent of Using Semantic Primes in Parfa 1 Textbook [PDF]

تاریخ ادبیات, 2021
In this study, an attempt has been made to examine the extent of usage of semantic primes in Parfa1 textbook to determine the extent to which this book covers the semantic primes that are said to be universal and exist in all languages.
Maryam Pournorouz
doaj   +1 more source

THE PRIMES ARE NOT METRIC POISSONIAN [PDF]

, 2017
It has been known since Vinogradov that, for irrational $\alpha$, the sequence of fractional parts $\{\alpha p\}$ is equidistributed in $\mathbb{R}/\mathbb{Z}$ as $p$ ranges over primes.
A. Walker
semanticscholar   +1 more source

Variants on Andrica’s Conjecture with and without the Riemann Hypothesis

Mathematics, 2018
The gap between what we can explicitly prove regarding the distribution of primes and what we suspect regarding the distribution of primes is enormous. It is (reasonably) well-known that the Riemann hypothesis is not sufficient to prove Andrica’s ...
Matt Visser
doaj   +1 more source

Characterization of prime and composite numbers using the notion of successive sum of integers and the consequence in primality testing [PDF]

Notes on Number Theory and Discrete Mathematics
In this paper, we give a characterization of primes and composite natural numbers using the notion of the sum of successive natural numbers. We prove essentially that an odd natural number N≥3 is prime if and only if the unique decomposition of N as a ...
Fateh Mustapha Dehmeche, Douadi Mihoubi, Lahcene Ladjelat   +2 more
doaj   +1 more source

Congruences for Taylor expansions of quantum modular forms [PDF]

, 2014
Recently, a beautiful paper of Andrews and Sellers has established linear congruences for the Fishburn numbers modulo an infinite set of primes. Since then, a number of authors have proven refined results, for example, extending all of these congruences ...
Guerzhoy, Pavel, Kent, Zachary, Rolen, Larry   +2 more
core   +1 more source

Mitohormesis Primes Tumor Invasion and Metastasis

Cell Reports, 2019
SUMMARY Moderate mitochondrial stress can lead to persistent activation of cytoprotective mechanisms – a phenomenon termed mitohormesis. Here, we show that mitohormesis primes a subpopulation of cancer cells to basally upregulate mitochondrial stress ...
Timothy C. Kenny, Amanda J. Craig, A. Villanueva, D. Germain   +3 more
semanticscholar   +1 more source

On the extensions of two arithmetical functions and some of their properties [PDF]

Notes on Number Theory and Discrete Mathematics
In the paper, an extension of the well-known Jordan's totient function and generalized Dedekind psi-function are proposed and some properties of theirs are studied.
Mladen Vassilev-Missana, Peter Mladenov Vassilev   +1 more
doaj   +1 more source