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: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge, UK ; New York, NY
Cambridge University Press
2021
|
| Schriftenreihe: | Cambridge studies in advanced mathematics
192 |
| Links: | 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. |
| Umfang: | 1 Online-Ressource (xiv, 255 Seiten) |
| ISBN: | 9781108888226 |
Internformat
MARC
| LEADER | 00000nam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | ZDB-20-CTM-CR9781108888226 | ||
| 003 | UkCbUP | ||
| 005 | 20210514100958.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 191206s2021||||enk o ||1 0|eng|d | ||
| 020 | |a 9781108888226 | ||
| 100 | 1 | |a Kowalski, Emmanuel |d 1969- | |
| 245 | 1 | 3 | |a An introduction to probabilistic number theory |c Emmanuel Kowalski, Swiss Federal Institute of Technology, Zurich |
| 264 | 1 | |a Cambridge, UK ; New York, NY |b Cambridge University Press |c 2021 | |
| 300 | |a 1 Online-Ressource (xiv, 255 Seiten) | ||
| 336 | |b txt | ||
| 337 | |b c | ||
| 338 | |b cr | ||
| 490 | 1 | |a Cambridge studies in advanced mathematics |v 192 | |
| 520 | |a 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. | ||
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9781108840965 |
| 966 | 4 | 0 | |l DE-91 |p ZDB-20-CTM |q TUM_PDA_CTM |u https://doi.org/10.1017/9781108888226 |3 Volltext |
| 912 | |a ZDB-20-CTM | ||
| 912 | |a ZDB-20-CTM | ||
| 049 | |a DE-91 | ||
Datensatz im Suchindex
| DE-BY-TUM_katkey | ZDB-20-CTM-CR9781108888226 |
|---|---|
| _version_ | 1825574046657413121 |
| adam_text | |
| any_adam_object | |
| author | Kowalski, Emmanuel 1969- |
| author_facet | Kowalski, Emmanuel 1969- |
| author_role | |
| author_sort | Kowalski, Emmanuel 1969- |
| author_variant | e k ek |
| building | Verbundindex |
| bvnumber | localTUM |
| collection | ZDB-20-CTM |
| format | eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01847nam a2200253 i 4500</leader><controlfield tag="001">ZDB-20-CTM-CR9781108888226</controlfield><controlfield tag="003">UkCbUP</controlfield><controlfield tag="005">20210514100958.0</controlfield><controlfield tag="006">m|||||o||d||||||||</controlfield><controlfield tag="007">cr||||||||||||</controlfield><controlfield tag="008">191206s2021||||enk o ||1 0|eng|d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781108888226</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Kowalski, Emmanuel</subfield><subfield code="d">1969-</subfield></datafield><datafield tag="245" ind1="1" ind2="3"><subfield code="a">An introduction to probabilistic number theory</subfield><subfield code="c">Emmanuel Kowalski, Swiss Federal Institute of Technology, Zurich</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge, UK ; New York, NY</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">2021</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (xiv, 255 Seiten)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Cambridge studies in advanced mathematics</subfield><subfield code="v">192</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">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.</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">9781108840965</subfield></datafield><datafield tag="966" ind1="4" ind2="0"><subfield code="l">DE-91</subfield><subfield code="p">ZDB-20-CTM</subfield><subfield code="q">TUM_PDA_CTM</subfield><subfield code="u">https://doi.org/10.1017/9781108888226</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CTM</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CTM</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91</subfield></datafield></record></collection> |
| id | ZDB-20-CTM-CR9781108888226 |
| illustrated | Not Illustrated |
| indexdate | 2025-03-03T11:58:00Z |
| institution | BVB |
| isbn | 9781108888226 |
| language | English |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM |
| owner_facet | DE-91 DE-BY-TUM |
| physical | 1 Online-Ressource (xiv, 255 Seiten) |
| psigel | ZDB-20-CTM TUM_PDA_CTM ZDB-20-CTM |
| publishDate | 2021 |
| publishDateSearch | 2021 |
| publishDateSort | 2021 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge studies in advanced mathematics |
| spelling | Kowalski, Emmanuel 1969- 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 c cr Cambridge studies in advanced mathematics 192 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. Erscheint auch als Druck-Ausgabe 9781108840965 |
| spellingShingle | Kowalski, Emmanuel 1969- An introduction to probabilistic number theory |
| 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 | introduction to probabilistic number theory |
| work_keys_str_mv | AT kowalskiemmanuel anintroductiontoprobabilisticnumbertheory AT kowalskiemmanuel introductiontoprobabilisticnumbertheory |