Results 221 to 230 of about 14,157 (261)

On the Distribution of Supersingular Primes

Canadian Journal of Mathematics, 1996
AbstractLet E be a fixed elliptic curve defined over the rational numbers. We prove that the number of primes p ≤ x such that E has supersingular reduction mod p is greater than for any positive δ and x sufficiently large. Here logkx is defined recursively as log(logk-1 x) and log1x = logx. We also establish several results related to the Lang-Trotter
Fouvry, Etienne, Murty, M. Ram
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ON THE DISTRIBUTION OF PRIMES (mod4)

Analysis, 1995
Chebyshev in 1853 conjectured that ``there are more primes \(\equiv 3\pmod 4\) than \(\equiv 1\pmod 4\)''. Let \(N(T)\) denote the number of integers \(m\leq T\) for which \(\pi(m; 4,1)> \pi(m; 4,3)\). The assertion of Knapowski and Turan that \(\lim_{T\to \infty} N(T)/ T=0\) was recently disproved by the author assuming the GRH.
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On the Distribution of Primes

The Mathematics Teacher, 2003
he distribution of primes throughout the natural numbers is a wonderful mystery that has always entertained mathematicians—professional and amateur, genius and ordinary—yet complete understanding has eluded their attempts. The names of those who have considered the problems discussed in this article and related problems form a “mathematics hall of fame”
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The distribution of prime numbers

Russian Mathematical Surveys, 1990
CONTENTS Introduction Chapter I. The Riemann zeta-function and its connection with primes § 1. Definition of and Euler's identity § 2. Continuation of to the half-plane § 3. Continuation of to the whole plane § 4. Functional properties of and § 5. Zeros of and primes § 6. Elementary theorems on the complex zeros of § 7. Theorems of de la Vallee Poussin
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment

Ca-A Cancer Journal for Clinicians, 2022
Jun J Mao,, Msce, Lorenzo Cohen, Karen M Mustian   +2 more
exaly  

The Distribution of the Primes

1980
Legendre was the first, as far as we know, to make any significant conjecture about the distribution of the primes. Let π(x) denote the number of primes not exceeding x. Then Legendre conjectured, somewhat tentatively, that for large x the number π(x) is given approximately by $$ \frac{x}{{\log x - 1.08...}} $$ .
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The Distribution of Prime Numbers

1982
In this chapter we give some basic results concerning the distribution of prime numbers. The reader will only require some knowledge of the calculus —this chapter is a first introduction to analytic number theory and we shall omit all the deeper investigations.
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Distribution of prime numbers

2023
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Obesity and adverse breast cancer risk and outcome: Mechanistic insights and strategies for intervention

Ca-A Cancer Journal for Clinicians, 2017
Cynthia Morata-Tarifa, Joyce M Slingerland   +1 more
exaly  

Multidisciplinary standards of care and recent progress in pancreatic ductal adenocarcinoma

Ca-A Cancer Journal for Clinicians, 2020
Aaron J Grossberg, William L Hwang, Anirban Maitra   +2 more
exaly