{"product_id":"probabilistic-diophantine-approximation-randomness-in-lattice-point-counting-9783319107400","title":"Probabilistic Diophantine Approximation: Randomness in Lattice Point Counting","description":"\u003cp\u003e • Author(s): József Beck\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Number Theory\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eThis 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 \u003ci\u003eL\u003c\/i\u003e-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.\u003c\/p\u003e\u003cp\u003eWritten by one of the acknowledged experts in the field, \u003ci\u003eProbabilistic Diophantine Approximation\u003c\/i\u003e is presented in a clear and informal style with sufficient detail to appeal to both advanced students and researchers in number theory.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Hardcover","offer_id":45275965554839,"sku":"9783319107400","price":7267.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783319107400.webp?v=1769284363","url":"https:\/\/atlanticbooks.com\/products\/probabilistic-diophantine-approximation-randomness-in-lattice-point-counting-9783319107400","provider":"Atlantic Books","version":"1.0","type":"link"}