Multiplicative Number Theory I :: Classical Theory.
Prime numbers are the multiplicative building blocks of natural numbers. Understanding their overall influence and especially their distribution gives rise to central questions in mathematics and physics. The authors bring their extensive and distinguished research expertise to prepare the student f...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Leiden :
Cambridge University Press,
2006.
|
| Schriftenreihe: | Cambridge studies in advanced mathematics ;
no. 97. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Prime numbers are the multiplicative building blocks of natural numbers. Understanding their overall influence and especially their distribution gives rise to central questions in mathematics and physics. The authors bring their extensive and distinguished research expertise to prepare the student for intelligent reading of the more advanced research literature. |
| Beschreibung: | 1 online resource (572 pages) |
| ISBN: | 9780511256455 0511256450 9780511618314 051161831X 9780521849036 0521849039 9781107405820 1107405823 |
Internformat
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| 245 | 1 | 0 | |a Multiplicative Number Theory I : |b Classical Theory. |
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| 300 | |a 1 online resource (572 pages) | ||
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| 490 | 1 | |a Cambridge Studies in Advanced Mathematics ; |v no. 97 | |
| 505 | 0 | |a Cover; Half-title; Series-title; Title; Copyright; Dedication; Contents; Preface; Notation; 1 Dirichlet series: I; 2 The elementary theory of arithmetic functions; 3 Principles and first examples of sieve methods; 4 Primes in arithmetic progressions: I; 5 Dirichlet series: II; 6 The Prime Number Theorem; 7 Applications of the Prime Number Theorem; 8 Further discussion of the Prime Number Theorem; 9 Primitive characters and Gauss sums; 10 Analytic properties of the zeta function and L-functions; 11 Primes in arithmetic progressions: II; 12 Explicit formulæ; 13 Conditional estimates; 14 Zeros. | |
| 505 | 8 | |a 15 Oscillations of error termsAppendix A The Riemann-Stieltjes integral; Appendix B Bernoulli numbers and the Euler-Maclaurin summation formula; Appendix C The gamma function; Appendix D Topics in harmonic analysis; Name index; Subject index. | |
| 520 | |a Prime numbers are the multiplicative building blocks of natural numbers. Understanding their overall influence and especially their distribution gives rise to central questions in mathematics and physics. The authors bring their extensive and distinguished research expertise to prepare the student for intelligent reading of the more advanced research literature. | ||
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Numbers, Prime. |0 http://id.loc.gov/authorities/subjects/sh85093218 | |
| 650 | 6 | |a Nombres premiers. | |
| 650 | 7 | |a Numbers, Prime |2 fast | |
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| author | Montgomery, Hugh L. |
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| contents | Cover; Half-title; Series-title; Title; Copyright; Dedication; Contents; Preface; Notation; 1 Dirichlet series: I; 2 The elementary theory of arithmetic functions; 3 Principles and first examples of sieve methods; 4 Primes in arithmetic progressions: I; 5 Dirichlet series: II; 6 The Prime Number Theorem; 7 Applications of the Prime Number Theorem; 8 Further discussion of the Prime Number Theorem; 9 Primitive characters and Gauss sums; 10 Analytic properties of the zeta function and L-functions; 11 Primes in arithmetic progressions: II; 12 Explicit formulæ; 13 Conditional estimates; 14 Zeros. 15 Oscillations of error termsAppendix A The Riemann-Stieltjes integral; Appendix B Bernoulli numbers and the Euler-Maclaurin summation formula; Appendix C The gamma function; Appendix D Topics in harmonic analysis; Name index; Subject index. |
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| id | ZDB-4-EBA-ocn437175104 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:16:51Z |
| institution | BVB |
| isbn | 9780511256455 0511256450 9780511618314 051161831X 9780521849036 0521849039 9781107405820 1107405823 |
| language | English |
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| series | Cambridge studies in advanced mathematics ; |
| series2 | Cambridge Studies in Advanced Mathematics ; |
| spelling | Montgomery, Hugh L. Multiplicative Number Theory I : Classical Theory. Leiden : Cambridge University Press, 2006. 1 online resource (572 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Cambridge Studies in Advanced Mathematics ; no. 97 Cover; Half-title; Series-title; Title; Copyright; Dedication; Contents; Preface; Notation; 1 Dirichlet series: I; 2 The elementary theory of arithmetic functions; 3 Principles and first examples of sieve methods; 4 Primes in arithmetic progressions: I; 5 Dirichlet series: II; 6 The Prime Number Theorem; 7 Applications of the Prime Number Theorem; 8 Further discussion of the Prime Number Theorem; 9 Primitive characters and Gauss sums; 10 Analytic properties of the zeta function and L-functions; 11 Primes in arithmetic progressions: II; 12 Explicit formulæ; 13 Conditional estimates; 14 Zeros. 15 Oscillations of error termsAppendix A The Riemann-Stieltjes integral; Appendix B Bernoulli numbers and the Euler-Maclaurin summation formula; Appendix C The gamma function; Appendix D Topics in harmonic analysis; Name index; Subject index. Prime numbers are the multiplicative building blocks of natural numbers. Understanding their overall influence and especially their distribution gives rise to central questions in mathematics and physics. The authors bring their extensive and distinguished research expertise to prepare the student for intelligent reading of the more advanced research literature. Print version record. Numbers, Prime. http://id.loc.gov/authorities/subjects/sh85093218 Nombres premiers. Numbers, Prime fast Vaughan, Robert C. http://id.loc.gov/authorities/names/n86057987 has work: Multiplicative number theory I Classical theory (Text) https://id.oclc.org/worldcat/entity/E39PCGJYMdjF6dqYjfgkpYTKtX https://id.oclc.org/worldcat/ontology/hasWork 9780521849036 Cambridge studies in advanced mathematics ; no. 97. http://id.loc.gov/authorities/names/n84708314 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=178884 Volltext |
| spellingShingle | Montgomery, Hugh L. Multiplicative Number Theory I : Classical Theory. Cambridge studies in advanced mathematics ; Cover; Half-title; Series-title; Title; Copyright; Dedication; Contents; Preface; Notation; 1 Dirichlet series: I; 2 The elementary theory of arithmetic functions; 3 Principles and first examples of sieve methods; 4 Primes in arithmetic progressions: I; 5 Dirichlet series: II; 6 The Prime Number Theorem; 7 Applications of the Prime Number Theorem; 8 Further discussion of the Prime Number Theorem; 9 Primitive characters and Gauss sums; 10 Analytic properties of the zeta function and L-functions; 11 Primes in arithmetic progressions: II; 12 Explicit formulæ; 13 Conditional estimates; 14 Zeros. 15 Oscillations of error termsAppendix A The Riemann-Stieltjes integral; Appendix B Bernoulli numbers and the Euler-Maclaurin summation formula; Appendix C The gamma function; Appendix D Topics in harmonic analysis; Name index; Subject index. Numbers, Prime. http://id.loc.gov/authorities/subjects/sh85093218 Nombres premiers. Numbers, Prime fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85093218 |
| title | Multiplicative Number Theory I : Classical Theory. |
| title_auth | Multiplicative Number Theory I : Classical Theory. |
| title_exact_search | Multiplicative Number Theory I : Classical Theory. |
| title_full | Multiplicative Number Theory I : Classical Theory. |
| title_fullStr | Multiplicative Number Theory I : Classical Theory. |
| title_full_unstemmed | Multiplicative Number Theory I : Classical Theory. |
| title_short | Multiplicative Number Theory I : |
| title_sort | multiplicative number theory i classical theory |
| title_sub | Classical Theory. |
| topic | Numbers, Prime. http://id.loc.gov/authorities/subjects/sh85093218 Nombres premiers. Numbers, Prime fast |
| topic_facet | Numbers, Prime. Nombres premiers. Numbers, Prime |
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