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Probabilistic Diophantine Approximation - Randomness in Lattice Point Counting (Hardcover, 2014 ed.)
Loot Price: R4,717
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Probabilistic Diophantine Approximation - Randomness in Lattice Point Counting (Hardcover, 2014 ed.)
Series: Springer Monographs in Mathematics
Expected to ship within 10 - 15 working days
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This book gives a comprehensive treatment of random phenomena and
distribution results in diophantine approximation, with a
particular emphasis on quadratic irrationals. It covers classical
material on the subject as well as many new results developed by
the author over the past decade. A range of ideas from other areas
of mathematics are brought to bear with surprising connections to
topics such as formulae for class numbers, special values of
L-functions, and Dedekind sums. Care is taken to elaborate
difficult proofs by motivating major steps and accompanying them
with background explanations, enabling the reader to learn the
theory and relevant techniques. Written by one of the acknowledged
experts in the field, Probabilistic Diophantine Approximation is
presented in a clear and informal style with sufficient detail to
appeal to both advanced students and researchers in number theory.
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