Voronoi's contribution to modern number theory
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AMS Classification:

01A70, 11A55, 11B68, 11E10, 11H55, 11N37, 11N56, 11R16

Keywords:

algebraic integers, Bernoulli numbers, circle problem, continued fractions, divisor problem, divergent series, geometry of numbers, quadratic forms, Voronoi summation formula

Abstract:

This article surveys life and work of the Ukrainian mathematician Voronoi (18681908). In his short life he made important contributions to the theory of algebraic numbers, analytic number theory, and the geometry of numbers. His ideas influenced much of the research in modern number theory till the present day.

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Vol. 2 (10), 2007
