Mersenne numbers and fermat numbers:
"This book contains a complete detailed description of two classes of special numbers closely related to classical problems of the Theory of Primes. There is also extensive discussions of applied issues related to Cryptography. In Mathematics, a Mersenne number (named after Marin Mersenne, who...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific
2021
|
| Schriftenreihe: | Selected chapters of number theory: special numbers
vol. 1 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | "This book contains a complete detailed description of two classes of special numbers closely related to classical problems of the Theory of Primes. There is also extensive discussions of applied issues related to Cryptography. In Mathematics, a Mersenne number (named after Marin Mersenne, who studied them in the early 17th century) is a number of the form Mn = 2n - 1 for positive integer n. In Mathematics, a Fermat number (named after Pierre de Fermat who first studied them) is a positive integer of the form Fn = 2k+ 1, k=2n, where n is a non-negative integer. Mersenne and Fermat numbers have many other interesting properties. Long and rich history, many arithmetic connections (with perfect numbers, with construction of regular polygons etc.), numerous modern applications, long list of open problems allow us to provide a broad perspective of the Theory of these two classes of special numbers, that can be useful and interesting for both professionals and the general audience."-- |
| Beschreibung: | 1 Online-Ressource (328 Seiten) |
| ISBN: | 9789811230325 9811230323 |
| DOI: | 10.1142/12100 |
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Datensatz im Suchindex
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| dewey-raw | 512.723 |
| dewey-search | 512.723 |
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| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| doi_str_mv | 10.1142/12100 |
| format | Electronic eBook |
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| id | DE-604.BV047457870 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T18:05:17Z |
| indexdate | 2024-07-10T09:12:41Z |
| institution | BVB |
| isbn | 9789811230325 9811230323 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032859706 |
| oclc_num | 1268176144 |
| open_access_boolean | |
| physical | 1 Online-Ressource (328 Seiten) |
| psigel | ZDB-124-WOP |
| publishDate | 2021 |
| publishDateSearch | 2021 |
| publishDateSort | 2021 |
| publisher | World Scientific |
| record_format | marc |
| series2 | Selected chapters of number theory: special numbers |
| spelling | Deza, Elena Verfasser aut Mersenne numbers and fermat numbers by Elena Deza Singapore World Scientific 2021 1 Online-Ressource (328 Seiten) txt rdacontent c rdamedia cr rdacarrier Selected chapters of number theory: special numbers vol. 1 "This book contains a complete detailed description of two classes of special numbers closely related to classical problems of the Theory of Primes. There is also extensive discussions of applied issues related to Cryptography. In Mathematics, a Mersenne number (named after Marin Mersenne, who studied them in the early 17th century) is a number of the form Mn = 2n - 1 for positive integer n. In Mathematics, a Fermat number (named after Pierre de Fermat who first studied them) is a positive integer of the form Fn = 2k+ 1, k=2n, where n is a non-negative integer. Mersenne and Fermat numbers have many other interesting properties. Long and rich history, many arithmetic connections (with perfect numbers, with construction of regular polygons etc.), numerous modern applications, long list of open problems allow us to provide a broad perspective of the Theory of these two classes of special numbers, that can be useful and interesting for both professionals and the general audience."-- Numbers, Prime Fermat-Zahl (DE-588)4672709-7 gnd rswk-swf Mersenne-Zahl (DE-588)124515835X gnd rswk-swf Electronic books Fermat-Zahl (DE-588)4672709-7 s Mersenne-Zahl (DE-588)124515835X s DE-604 Erscheint auch als Druck-Ausgabe 9789811230318 Erscheint auch als Druck-Ausgabe 9811230315 https://doi.org/10.1142/12100 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Deza, Elena Mersenne numbers and fermat numbers Numbers, Prime Fermat-Zahl (DE-588)4672709-7 gnd Mersenne-Zahl (DE-588)124515835X gnd |
| subject_GND | (DE-588)4672709-7 (DE-588)124515835X |
| title | Mersenne numbers and fermat numbers |
| title_auth | Mersenne numbers and fermat numbers |
| title_exact_search | Mersenne numbers and fermat numbers |
| title_exact_search_txtP | Mersenne numbers and fermat numbers |
| title_full | Mersenne numbers and fermat numbers by Elena Deza |
| title_fullStr | Mersenne numbers and fermat numbers by Elena Deza |
| title_full_unstemmed | Mersenne numbers and fermat numbers by Elena Deza |
| title_short | Mersenne numbers and fermat numbers |
| title_sort | mersenne numbers and fermat numbers |
| topic | Numbers, Prime Fermat-Zahl (DE-588)4672709-7 gnd Mersenne-Zahl (DE-588)124515835X gnd |
| topic_facet | Numbers, Prime Fermat-Zahl Mersenne-Zahl |
| url | https://doi.org/10.1142/12100 |
| work_keys_str_mv | AT dezaelena mersennenumbersandfermatnumbers |