This is a systematic account of the multiplicative structure of integers, from the probabilistic point of view. The authors are especially concerned with the distribution of the divisors, which is as fundamental and important as the additive structure of the integers, and yet until now has hardly been discussed outside of the research literature. Hardy and Ramanujan initiated this area of research and it was developed by Erdös in the thirties. His work led to some deep and basic conjectures of wide application which have now essentially been settled. This book contains detailed proofs, some of which have never appeared in print before, of those conjectures that are concerned with the propinquity of divisors. Consequently it will be essential reading for all researchers in analytic number theory.

Divisors (Cambridge Tracts in Mathematics, Series Number 90)

Science & Math

TENENBAUM, Gérald

Hall, Richard R.

Mathematics

Cambridge University Press

Introduction à la théorie analytique et probabiliste des nombres: Cours et exercices

Dunod]

L'ordre des jours

Literature & Fiction

Genre Fiction

H D ORMESSON

Théorie analytique et probabiliste des nombres: 307 exercices corrigés

Wu, Jie

Essays & Commentary

BELIN EDUCATION

L'ORDRE DES JOURS

DE L AUBE

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