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035   $a(DE-He213)978-3-030-54946-6
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035   $a(PPN)252507479
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100   $a20210316d2020      uy             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aArithmetic tales $eadvanced edition /$fOlivier Bordelle?s
205   $a2nd ed. 2020.
210  1$aCham, Switzerland :$cSpringer,$d[2020]
210  4$d©2020
215   $a1 online resource (XIX, 782 p. 8 illus., 5 illus. in color.) 
225 1 $aUniversitext,$x0172-5939
311   $a3-030-54945-3 
327   $a1 Basic Tools -- 2 Linear Diophantine Equations -- 3 Prime Numbers -- 4 Arithmetic Functions -- 5 Lattice Points -- 6 Exponential Sums -- 7 Algebraic Number Fields. Hints and Answers to Exercises -- Index.
330   $aThis textbook covers a wide array of topics in analytic and multiplicative number theory, suitable for graduate level courses. Extensively revised and extended, this Advanced Edition takes a deeper dive into the subject, with the elementary topics of the previous edition making way for a fuller treatment of more advanced topics. The core themes of the distribution of prime numbers, arithmetic functions, lattice points, exponential sums and number fields now contain many more details and additional topics. In addition to covering a range of classical and standard results, some recent work on a variety of topics is discussed in the book, including arithmetic functions of several variables, bounded gaps between prime numbers à la Yitang Zhang, Mordell's method for exponential sums over finite fields, the resonance method for the Riemann zeta function, the Hooley divisor function, and many others. Throughout the book, the emphasis is on explicit results. Assuming only familiarity with elementary number theory and analysis at an undergraduate level, this textbook provides an accessible gateway to a rich and active area of number theory. With an abundance of new topics and 50% more exercises, all with solutions, it is now an even better guide for independent study.
410  0$aUniversitext,$x0172-5939
606   $aNumber theory
615  0$aNumber theory.
676   $a512.7
700   $aBordelle?s$b Olivier$0517601
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a996418182803316
996   $aArithmetic tales$9848678
997   $aUNISA