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

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书目名称Analytic and Elementary Number Theory影响因子(影响力)




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Partition Identities Involving Gaps and Weights, II,number of unrestricted partitions of ., .(.), the number of partitions of . into distinct parts and the Rogers-Ramanujan partitions of . (of both types). The weights derived here are given either in terms of congruence conditions satisfied by the parts or in terms of chains of gaps between the parts

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Entiers Lexicographiques,easing size), is ordered lexicographically. This concept easily yields to a new type of multiplicative structure for the exceptional set in the Maier-Tenenbaum theorem on the propinquity of divisors, which settled a well-known conjecture of Erdős. We provide asymptotic formulae for the number of lex

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Linear Forms in Finite Sets of Integers,he form ..+...+.., where .. is an integer that can be represented as the sum of .. elements of the set A,. In this paper, the structure of the linear form ....+...+.... is completely determined for all sufficiently large integers ...

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AGOG

Discrete Structural Optimizationund for a possible counterexample is extended to (math) and the bound lim inf...(.)/.(.) ≤ 10. is shown. Determining the order of .(.) and ..(.) also provides a description of the “normal” multiplicative structure of totients. This takes the form of bounds on the sizes of the prime factors of a pre-

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