Titlebook: Analytic Number Theory; In Honor of Helmut M Carl Pomerance,Michael Th. Rassias Book 2015 Springer International Publishing Switzerland 201

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Liberate

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,Best Possible Densities of Dickson ,-Tuples, as a Consequence of Zhang–Maynard–Tao,We determine for what proportion of integers . one now knows that there are infinitely many prime pairs .,??. + . as a consequence of the Zhang–Maynard–Tao theorem. We consider the natural generalization of this to .-tuples of integers, and we determine the limit of what can be deduced assuming only the Zhang–Maynard–Tao theorem.

緩解

,A Note on Helson’s Conjecture on Moments of Random Multiplicative Functions,In this note we are interested in cancellations in sums of multiplicative functions. It?is well known that

定點

A Note on Bessel Twists of ,-Functions,We show that certain twists of Bessel type of a given .-function have meromorphic continuation over ..

混亂生活

On Amicable Numbers,Let . denote the set of integers .?≤?. that belong to an amicable pair. We show that . for all sufficiently large ..

Affection

Carl Pomerance,Michael Th. RassiasPresents the latest developments and applications by leading experts in Analytic Number Theory.Contains contributions by mathematicians who have published jointly with Helmut Maier.Contains practical

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誘導(dǎo)

擦掉

Explainable Spatio-Temporal Graph Modeling the unidimensional torus converges pointwise to . while avoiding the Gibbs phenomenon. We also prove that the convergence is uniform when . is continuous and provide an effective bound for the rate when . satisfies a uniform Lipschitz condition.