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024 7 $a10.1007/978-3-319-10741-7
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035   $a(OCoLC)893674008
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035   $a(DE-He213)978-3-319-10741-7
035   $a(PPN)182098567
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100   $a20141004d2014      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aProbabilistic Diophantine Approximation $eRandomness in Lattice Point Counting /$fby József Beck
205   $a1st ed. 2014.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014.
215   $a1 online resource (497 p.)
225 1 $aSpringer Monographs in Mathematics,$x1439-7382
300   $aDescription based upon print version of record.
311   $a3-319-10740-2 
320   $aIncludes bibliographical references and index.
327   $aPreface.- 1 What is "probabilistic" diophantine approximation?.- 2 Expectation, and its connection with quadratic fields.- 3 Variance, and its connection with quadratic fields.- 4 Proving randomness.- 5 Pell equation, super irregularity and randomness.- 6 More on randomness -- References -- Index.
330   $aThis book gives a comprehensive treatment of random phenomena and distribution results in diophantine approximation, with a particular emphasis on quadratic irrationals. It covers classical material on the subject as well as many new results developed by the author over the past decade. A range of ideas from other areas of mathematics are brought to bear with surprising connections to topics such as formulae for class numbers, special values of L-functions, and Dedekind sums. Care is taken to elaborate difficult proofs by motivating major steps and accompanying them with background explanations, enabling the reader to learn the theory and relevant techniques. Written by one of the acknowledged experts in the field, Probabilistic Diophantine Approximation is presented in a clear and informal style with sufficient detail to appeal to both advanced students and researchers in number theory.
410  0$aSpringer Monographs in Mathematics,$x1439-7382
606   $aNumber theory
606   $aProbabilities
606   $aNumber Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M25001
606   $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004
615  0$aNumber theory.
615  0$aProbabilities.
615 14$aNumber Theory.
615 24$aProbability Theory and Stochastic Processes.
676   $a512.73
700   $aBeck$b József$4aut$4http://id.loc.gov/vocabulary/relators/aut$0348406
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910299966203321
996   $aProbabilistic diophantine approximation$91409953
997   $aUNINA