The prime number theorem:
At first glance the prime numbers appear to be distributed in a very irregular way amongst the integers, but it is possible to produce a simple formula that tells us (in an approximate but well defined sense) how many primes we can expect to find that are less than any integer we might choose. The p...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2003
|
| Series: | London Mathematical Society student texts
53 |
| Subjects: | |
| Online Access: | DE-12 DE-92 DE-19 DE-355 Volltext |
| Summary: | At first glance the prime numbers appear to be distributed in a very irregular way amongst the integers, but it is possible to produce a simple formula that tells us (in an approximate but well defined sense) how many primes we can expect to find that are less than any integer we might choose. The prime number theorem tells us what this formula is and it is indisputably one of the great classical theorems of mathematics. This textbook gives an introduction to the prime number theorem suitable for advanced undergraduates and beginning graduate students. The author's aim is to show the reader how the tools of analysis can be used in number theory to attack a 'real' problem, and it is based on his own experiences of teaching this material |
| Physical Description: | 1 Online-Ressource (x, 252 Seiten) |
| ISBN: | 9781139164986 |
| DOI: | 10.1017/CBO9781139164986 |
Staff View
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| isbn | 9781139164986 |
| language | English |
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| spelling | Jameson, Graham J. O. 1942- Verfasser (DE-588)107481138 aut The prime number theorem G.J.O. Jameson Cambridge Cambridge University Press 2003 1 Online-Ressource (x, 252 Seiten) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society student texts 53 At first glance the prime numbers appear to be distributed in a very irregular way amongst the integers, but it is possible to produce a simple formula that tells us (in an approximate but well defined sense) how many primes we can expect to find that are less than any integer we might choose. The prime number theorem tells us what this formula is and it is indisputably one of the great classical theorems of mathematics. This textbook gives an introduction to the prime number theorem suitable for advanced undergraduates and beginning graduate students. The author's aim is to show the reader how the tools of analysis can be used in number theory to attack a 'real' problem, and it is based on his own experiences of teaching this material Numbers, Prime Primzahltheorie (DE-588)4175715-4 gnd rswk-swf Primzahl (DE-588)4047263-2 gnd rswk-swf Primzahl (DE-588)4047263-2 s DE-604 Primzahltheorie (DE-588)4175715-4 s Erscheint auch als Druck-Ausgabe 978-0-521-81411-9 Erscheint auch als Druck-Ausgabe 978-0-521-89110-3 https://doi.org/10.1017/CBO9781139164986 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Jameson, Graham J. O. 1942- The prime number theorem Numbers, Prime Primzahltheorie (DE-588)4175715-4 gnd Primzahl (DE-588)4047263-2 gnd |
| subject_GND | (DE-588)4175715-4 (DE-588)4047263-2 |
| title | The prime number theorem |
| title_auth | The prime number theorem |
| title_exact_search | The prime number theorem |
| title_full | The prime number theorem G.J.O. Jameson |
| title_fullStr | The prime number theorem G.J.O. Jameson |
| title_full_unstemmed | The prime number theorem G.J.O. Jameson |
| title_short | The prime number theorem |
| title_sort | the prime number theorem |
| topic | Numbers, Prime Primzahltheorie (DE-588)4175715-4 gnd Primzahl (DE-588)4047263-2 gnd |
| topic_facet | Numbers, Prime Primzahltheorie Primzahl |
| url | https://doi.org/10.1017/CBO9781139164986 |
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