An introduction to probabilistic number theory:
Despite its seemingly deterministic nature, the study of whole numbers, especially prime numbers, has many interactions with probability theory, the theory of random processes and events. This surprising connection was first discovered around 1920, but in recent years the links have become much deep...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge, UK ; New York, NY
Cambridge University Press
2021
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| Schriftenreihe: | Cambridge studies in advanced mathematics
192 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1017/9781108888226 https://doi.org/10.1017/9781108888226 https://doi.org/10.1017/9781108888226 |
| Zusammenfassung: | Despite its seemingly deterministic nature, the study of whole numbers, especially prime numbers, has many interactions with probability theory, the theory of random processes and events. This surprising connection was first discovered around 1920, but in recent years the links have become much deeper and better understood. Aimed at beginning graduate students, this textbook is the first to explain some of the most modern parts of the story. Such topics include the Chebychev bias, universality of the Riemann zeta function, exponential sums and the bewitching shapes known as Kloosterman paths. Emphasis is given throughout to probabilistic ideas in the arguments, not just the final statements, and the focus is on key examples over technicalities. The book develops probabilistic number theory from scratch, with short appendices summarizing the most important background results from number theory, analysis and probability, making it a readable and incisive introduction to this beautiful area of mathematics |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 07 May 2021) |
| Umfang: | 1 Online-Ressource (xiv, 255 Seiten) |
| ISBN: | 9781108888226 |
| DOI: | 10.1017/9781108888226 |
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| dewey-full | 512.7/6 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.7/6 |
| dewey-search | 512.7/6 |
| dewey-sort | 3512.7 16 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/9781108888226 |
| format | Electronic eBook |
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| isbn | 9781108888226 |
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| series2 | Cambridge studies in advanced mathematics 192 |
| spelling | Kowalski, Emmanuel 1969- (DE-588)140530754 aut An introduction to probabilistic number theory Emmanuel Kowalski, Swiss Federal Institute of Technology, Zurich Cambridge, UK ; New York, NY Cambridge University Press 2021 1 Online-Ressource (xiv, 255 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge studies in advanced mathematics 192 Title from publisher's bibliographic system (viewed on 07 May 2021) Despite its seemingly deterministic nature, the study of whole numbers, especially prime numbers, has many interactions with probability theory, the theory of random processes and events. This surprising connection was first discovered around 1920, but in recent years the links have become much deeper and better understood. Aimed at beginning graduate students, this textbook is the first to explain some of the most modern parts of the story. Such topics include the Chebychev bias, universality of the Riemann zeta function, exponential sums and the bewitching shapes known as Kloosterman paths. Emphasis is given throughout to probabilistic ideas in the arguments, not just the final statements, and the focus is on key examples over technicalities. The book develops probabilistic number theory from scratch, with short appendices summarizing the most important background results from number theory, analysis and probability, making it a readable and incisive introduction to this beautiful area of mathematics Probabilistic number theory Probabilistische Zahlentheorie (DE-588)4420009-2 gnd rswk-swf Probabilistische Zahlentheorie (DE-588)4420009-2 s DE-604 Erscheint auch als Druck-Ausgabe 978-1-108-84096-5 https://doi.org/10.1017/9781108888226 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Kowalski, Emmanuel 1969- An introduction to probabilistic number theory Probabilistic number theory Probabilistische Zahlentheorie (DE-588)4420009-2 gnd |
| subject_GND | (DE-588)4420009-2 |
| title | An introduction to probabilistic number theory |
| title_auth | An introduction to probabilistic number theory |
| title_exact_search | An introduction to probabilistic number theory |
| title_full | An introduction to probabilistic number theory Emmanuel Kowalski, Swiss Federal Institute of Technology, Zurich |
| title_fullStr | An introduction to probabilistic number theory Emmanuel Kowalski, Swiss Federal Institute of Technology, Zurich |
| title_full_unstemmed | An introduction to probabilistic number theory Emmanuel Kowalski, Swiss Federal Institute of Technology, Zurich |
| title_short | An introduction to probabilistic number theory |
| title_sort | an introduction to probabilistic number theory |
| topic | Probabilistic number theory Probabilistische Zahlentheorie (DE-588)4420009-2 gnd |
| topic_facet | Probabilistic number theory Probabilistische Zahlentheorie |
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