000 03108nam a22004935i 4500
001 978-1-4757-3441-6
003 DE-He213
005 20210602114659.0
007 cr nn 008mamaa
008 130614s2001 xxu| s |||| 0|eng d
020 _a9781475734416
_9978-1-4757-3441-6
024 7 _a10.1007/978-1-4757-3441-6
_2doi
050 4 _aQA241-247.5
072 7 _aPBH
_2bicssc
072 7 _aMAT022000
_2bisacsh
072 7 _aPBH
_2thema
082 0 4 _a512.7
_223
100 1 _aMurty, U.S.R.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aProblems in Analytic Number Theory
_h[electronic resource] /
_cby U.S.R. Murty.
250 _a1st ed. 2001.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c2001.
300 _aXVI, 456 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aReadings in Mathematics ;
_v206
505 0 _aI Problems -- 1 Arithmetic Functions -- 2 Primes in Arithmetic Progressions -- 3 The Prime Number Theorem -- 4 The Method of Contour Integration -- 5 Functional Equations -- 6 Hadamard Products -- 7 Explicit Formulas -- 8 The Selberg Class -- 9 Sieve Methods -- 10 p-adic Methods -- II Solutions -- 1 Arithmetic Functions -- 2 Primes in Arithmetic Progressions -- 3 The Prime Number Theorem -- 4 The Method of Contour Integration -- 5 Functional Equations -- 6 Hadamard Products -- 7 Explicit Formulas -- 8 The Selberg Class -- 9 Sieve Methods -- 10 p-adic Methods -- References.
520 _aThis book gives a problem-solving approach to the difficult subject of analytic number theory. It is primarily aimed at graduate students and senior undergraduates. The goal is to provide a rapid introduction to analytic methods and the ways in which they are used to study the distribution of prime numbers. The book also includes an introduction to p-adic analytic methods. It is ideal for a first course in analytic number theory. The new edition has been completely rewritten, errors have been corrected, and there is a new chapter on equidistribution. About the first edition: "...this monograph gives important results and techniques for specific topics, together with many exercises; it is not possible to describe adequately the wealth of material covered in this book." - Wolfgang Schwarz, Zentralblatt.
650 0 _aNumber theory.
650 1 4 _aNumber Theory.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M25001
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9781475734430
776 0 8 _iPrinted edition:
_z9781475734423
776 0 8 _iPrinted edition:
_z9780387951430
830 0 _aReadings in Mathematics ;
_v206
856 4 0 _uhttps://doi.org/10.1007/978-1-4757-3441-6
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
912 _aZDB-2-BAE
999 _c9425
_d9425