[PDF.35bz] Probabilistic Diophantine Approximation: Randomness in Lattice Point Counting (Springer Monographs in Mathematics)
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Probabilistic Diophantine Approximation: Randomness in Lattice Point Counting (Springer Monographs in Mathematics)
József Beck
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| #4336542 in Books | J zsef Beck | 2014-10-07 | Original language:English | PDF # 1 | 9.21 x1.06 x6.14l,.0 | File type: PDF | 487 pages | Probabilistic Diophantine Approximation Randomness in Lattice Point Counting Springer Monographs in Mathematics||||“The author has written a monograph with new results in a new direction of research in probability and number theory, including algebraic number theory. … The book is presented in a clear style and will be valuable for researchers in the field.&r
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...
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