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140122 ||| eng |
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|a 9781475734416
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| 100 |
1 |
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|a Murty, U.S.R.
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| 245 |
0 |
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|a Problems in Analytic Number Theory
|h Elektronische Ressource
|c by U.S.R. Murty
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| 250 |
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|a 1st ed. 2001
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| 260 |
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|a New York, NY
|b Springer New York
|c 2001, 2001
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| 300 |
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|a XVI, 456 p
|b online resource
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| 505 |
0 |
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|a I 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
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| 653 |
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|a Number theory
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| 653 |
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|a Number Theory
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| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b SBA
|a Springer Book Archives -2004
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| 490 |
0 |
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|a Readings in Mathematics
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| 028 |
5 |
0 |
|a 10.1007/978-1-4757-3441-6
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| 856 |
4 |
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|u https://doi.org/10.1007/978-1-4757-3441-6?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
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|a 512.7
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| 520 |
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|a This 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
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