Titlebook: Analytic Number Theory; Proceedings of a Con Bruce C. Berndt,Harold G. Diamond,Adolf Hildebrand Conference proceedings 1990 Birkh?user Bost

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The Prime k-Tuplets Conjecture on Average,mials with suitable conditions on the coefficients represent simultaneously primes infinitely often. One can even ask how ofen this happens. In 1962 Bateman and Horn [2] gave a corresponding quantative conjectures with heuristic evidence. Before stating this conjecture we need to introduce some notations and conventions.

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,Some Conjectures in Analytic Number Theory And their Connection With Fermat’s Last Theorem,

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Bruce C. Berndt,Harold G. Diamond,Adolf Hildebrand

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0743-1643 ume represents the contents of thirty of these talks as well as two further contributions. The papers span a wide range of topics in number theory, with a majority in analytic number theory.978-1-4612-8034-7978-1-4612-3464-7Series ISSN 0743-1643 Series E-ISSN 2296-505X

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Merrill B. Hintikka,Jaakko Hintikkay elementary means. Using further exponential sum techniques, Richert [8], Rankin [7], Schmidt [10], and Graham and Kolesnik [4] obtained the improvements . ? ..log ., . = ... where . = 0.221982…, . = 109556/494419 = 0.221585…, and . = 1057/4785 = 0.2208986…, respectively. The authors investigated t

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