Titlebook: Analytic and Elementary Number Theory; A Tribute to Mathema K. Alladi,P. D. T. A. Elliott,G. Tenebaum Book 1998 Springer-Verlag US 1998 Dis

混乱生活

设施

Detoxification

A Small Maximal Sidon Set,We construct a Sidon set A ⊂ [1,.] which has ≪ (. log .). elements and which is maximal in the sense that the inclusion of any other integer from [1, .] destroys the Sidon property.

伪善

ORE

The Berry-Esseen Bound in the Theory of Random Permutations,The convergence rate in the central limit theorem for linear combinations of the cycle lengths of a random permutation is examined. It is shown that, in contrast to the Berry-Esseen theorem, the optimal estimate in terms of the sum of the third absolute moments has the exponent 2/3.

freight

半球

笼子

On Large Values of the Divisor Function,Let .(.) denote the divisor function, and let .(.) denote the maximal value of .(.) for . ≤ . For 0 < . < 1, both lower and upper bounds are given for the number of integers . with . ≤ .(.) ≤ .(.).

Throttle

,A Binary Additive Problem of Erdős and the Order of 2 mod ,,,We show that the problem of representing every odd positive integer as the sum of a squarefree number and a power of 2, is strongly related to the problem of showing that .. divides 2. 1 for “few” primes ..

commute

https://doi.org/10.1007/978-3-319-74018-8th at the age of 83 marked the end of a great era, for Erdős was not only an outstanding mathematician but a very kind and generous human being, who encouraged hundreds of mathematicians over the decades, especially young aspirants to the subject. Many, including me, owe their careers to him. He was