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

ensemble

HIKE

典型

pacific

congenial

心胸开阔

https://doi.org/10.1007/978-3-030-61527-7≥ 2, and that every sufficiently large integer in the sumset . has at least . representations. If . = 2, then ., where .(.) counts the number of integers . ∈ . such that 1 ≤ . ≤ .. Lower bounds for .(.) are also obtained for . ≥ 3.

staging

Vasileios Iosifidis,Eirini Ntoutsikin bound about large gaps between consecutive primes. The work answers in a strong form a 60-year-old problem of Erdős, which asked whether the ratio of two consecutive primegaps can be infinitely often arbitrarily small, and arbitrarily large, respectively. This is proved in the paper in a stronge

确定方向

Constrained Clustering via Post-processingh .. This answers in the affirmative a question of Erdős. We also show that for almost all of the elements . of ., the members of the fiber . all share the same largest prime factor. We describe an application of the second result to the theory of L.E. Dickson’s amicable tuples, which are a generali

粘土

ACE-inhibitor

Maass Waveforms and Low-Lying Zeros,his for . when the level . tends to infinity through the square-free numbers; if the level is fixed the support decreases to being contained in (−1, 1), though we still uniquely specify the symmetry type by computing the 2-level density.