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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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Edition | Availability |
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1
Probabilistic Diophantine Approximation: Randomness in Lattice Point Counting
Aug 31, 2016, Springer
paperback
3319354655 9783319354651
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2
Probabilistic Diophantine Approximation: Randomness in Lattice Point Counting
Oct 07, 2014, Springer, Springer International Publishing AG
hardcover
3319107402 9783319107400
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Libraries near you:
WorldCat
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3
Probabilistic Diophantine Approximation: Randomness in Lattice Point Counting
2014, Springer
in English
3319107410 9783319107417
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Source title: Probabilistic Diophantine Approximation: Randomness in Lattice Point Counting (Springer Monographs in Mathematics)
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