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The distribution of prime numbers
Russian Mathematical Surveys, 1990CONTENTS 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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How Are the Prime Numbers Distributed?
1988As I have already stressed, the various proofs of existence of infinitely many primes are not constructive and do not give an indication of how to determine the nth prime number. Equivalently, the proofs do not indicate how many primes are less than any given number N.
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The Distribution of Prime Numbers
1982In 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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The prime numbers and their distribution
Choice Reviews Online, 2000Gérald Tenenbaum, Michel Mendès France
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Enhanced prime editing systems by manipulating cellular determinants of editing outcomes
Cell, 2021Peter J Chen +2 more
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Prediction of efficiencies for diverse prime editing systems in multiple cell types
Cell, 2023Goosang Yu, Hui Kwon Kim, Jihye Park
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The Distribution of Fibonacci Numbers Modulo Primes
The American Mathematical Monthly, 2021Mohammad Javaheri, Stephanie Cambrea
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On the Distribution of Numbers Prime to n
1969The problem how the numbers prime to n and less than n are distributed asymptotically for large values of n has been raised by P. Erdos ([1], see also [2], [3] and [4]). Recently C. Hooley ([5], [7]) has investigated this problem and obtained very interesting results.
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Phage-assisted evolution and protein engineering yield compact, efficient prime editors
Cell, 2023Jessie R Davis +2 more
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