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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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,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.
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,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
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A Note on Bessel Twists of ,-Functions,We show that certain twists of Bessel type of a given .-function have meromorphic continuation over ..
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On Amicable Numbers,Let . denote the set of integers . ≤ . that belong to an amicable pair. We show that . for all sufficiently large ..
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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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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.
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