An introduction to the theory of the Riemann zeta-function:
This is a modern introduction to the analytic techniques used in the investigation of zeta functions, through the example of the Riemann zeta function. Riemann introduced this function in connection with his study of prime numbers and from this has developed the subject of analytic number theory. Si...
Gespeichert in:
| Beteilige Person: | |
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| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1988
|
| Schriftenreihe: | Cambridge studies in advanced mathematics
14 |
| Links: | https://doi.org/10.1017/CBO9780511623707 |
| Zusammenfassung: | This is a modern introduction to the analytic techniques used in the investigation of zeta functions, through the example of the Riemann zeta function. Riemann introduced this function in connection with his study of prime numbers and from this has developed the subject of analytic number theory. Since then many other classes of 'zeta function' have been introduced and they are now some of the most intensively studied objects in number theory. Professor Patterson has emphasised central ideas of broad application, avoiding technical results and the customary function-theoretic approach. Thus, graduate students and non-specialists will find this an up-to-date and accessible introduction, especially for the purposes of algebraic number theory. There are many exercises included throughout, designed to encourage active learning. |
| Umfang: | 1 Online-Ressource (xiii, 156 Seiten) |
| ISBN: | 9780511623707 |
Internformat
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| 245 | 1 | 3 | |a An introduction to the theory of the Riemann zeta-function |c S.J. Patterson |
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| 490 | 1 | |a Cambridge studies in advanced mathematics |v 14 | |
| 520 | |a This is a modern introduction to the analytic techniques used in the investigation of zeta functions, through the example of the Riemann zeta function. Riemann introduced this function in connection with his study of prime numbers and from this has developed the subject of analytic number theory. Since then many other classes of 'zeta function' have been introduced and they are now some of the most intensively studied objects in number theory. Professor Patterson has emphasised central ideas of broad application, avoiding technical results and the customary function-theoretic approach. Thus, graduate students and non-specialists will find this an up-to-date and accessible introduction, especially for the purposes of algebraic number theory. There are many exercises included throughout, designed to encourage active learning. | ||
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| indexdate | 2025-03-03T11:58:03Z |
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| isbn | 9780511623707 |
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| spelling | Patterson, S. J. An introduction to the theory of the Riemann zeta-function S.J. Patterson Cambridge Cambridge University Press 1988 1 Online-Ressource (xiii, 156 Seiten) txt c cr Cambridge studies in advanced mathematics 14 This is a modern introduction to the analytic techniques used in the investigation of zeta functions, through the example of the Riemann zeta function. Riemann introduced this function in connection with his study of prime numbers and from this has developed the subject of analytic number theory. Since then many other classes of 'zeta function' have been introduced and they are now some of the most intensively studied objects in number theory. Professor Patterson has emphasised central ideas of broad application, avoiding technical results and the customary function-theoretic approach. Thus, graduate students and non-specialists will find this an up-to-date and accessible introduction, especially for the purposes of algebraic number theory. There are many exercises included throughout, designed to encourage active learning. Erscheint auch als Druck-Ausgabe 9780521335355 Erscheint auch als Druck-Ausgabe 9780521499057 |
| spellingShingle | Patterson, S. J. An introduction to the theory of the Riemann zeta-function |
| title | An introduction to the theory of the Riemann zeta-function |
| title_auth | An introduction to the theory of the Riemann zeta-function |
| title_exact_search | An introduction to the theory of the Riemann zeta-function |
| title_full | An introduction to the theory of the Riemann zeta-function S.J. Patterson |
| title_fullStr | An introduction to the theory of the Riemann zeta-function S.J. Patterson |
| title_full_unstemmed | An introduction to the theory of the Riemann zeta-function S.J. Patterson |
| title_short | An introduction to the theory of the Riemann zeta-function |
| title_sort | introduction to the theory of the riemann zeta function |
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