دانلود کتاب Arithmetical Aspects of the Large Sieve Inequality
by Olivier Ramaré, D.S. Ramana
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عنوان فارسی: جنبه های حسابی نابرابری غربال بزرگ |
دانلود کتاب
جزییات کتاب
One of the leading theme of these notes is the notion of so-called local models that throws a unifying light on the subject. As examples and applications, we present, among other things, an extension of the Brun-Tichmarsh Theorem, a new proof of Linnik's Theorem on quadratic residues and an equally novel one of the Vinogradov three primes Theorem; we also consider the problem of small prime gaps, of sums of two squarefree numbers and several other ones, 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. We end our journey by considering the problem of equality in the large sieve inequality and prove several results in this area.