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

澄清

裂隙

Vasileios Iosifidis,Eirini Ntoutsir form that not only . can be arbitrarily large compared to .. but this remains true if .. is replaced by the maximum of the . differences . for arbitrary fix .. The ratio can reach .(.) times the size of the classical Erdős–Rankin function with a constant .(.) depending only on ..

大方不好

键琴

,Théorème de Jordan Friable, 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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On Conjectures of T. Ordowski and Z.W. Sun Concerning Primes and Quadratic Forms,e and let . be the unique representation with positive integers .. Then the following holds: . For . = 1 this proves, but for . = 2 this disproves the conjectures in question. We shall also generalise the result to cover all positive definite, primitive, binary quadratic forms. In addition we will d

SYN

Counting Primes in Arithmetic Progressions,Halberstam, and, in modified form, at the October 2014 workshop at the Royal Swedish Academy of Sciences, Stockholm, on the occasion of the presentation to Yitang Zhang of the 2014 Rolf Schock Prize in Mathematics for his ground-breaking work on bounded gaps between primes.

Dri727

弄污

Large Values of the Zeta-Function on the Critical Line,28, 2014.) dealing with the large values of .. This approach allows one to obtain upper bounds for moments (mean values) of ., which is one of the fundamental problems of the theory of the Riemann zeta-function. A sketch of the upper bound for the 12th moment of D.R. Heath-Brown (Q J Math (Oxford) 2

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