Titlebook: Arithmetical Aspects of the Large Sieve Inequality; Olivier Ramaré,D. S. Ramana Book 2009 Hindustan Book Agency (India) 2009

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Small gaps between primes,sis of the hermitian product stemming from a local system. We show furthermore that the key point of Bombieri & Davenport’s proof concerning small differences between primes is in fact contained in Lemma 1.2 and 1.1.

古文字學(xué)

Approximating by a local model, (.(.)). together with an additional function .∞ (which will take care of the size constraints), for which we assume the following bound:. for some parameters ., ., . and (.).. The Bombieri-Vinogradov Theorem falls within this framework with .∞ being the characteristic function of real numbers ≤ . a

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Book 2009nes, some of them being new, like a sharp upper bound for the number of twin primes $p$ that are such that $p+1$ is squarefree. In the end the problem of equality in the large sieve inequality is considered and several results in this area are also proved.