Contributions to the theory of zeta-functions the modular relation supremacy
This volume provides a systematic survey of almost all the equivalent assertions to the functional equations - zeta symmetry - which zeta-functions satisfy, thus streamlining previously published results on zeta-functions. The equivalent relations are given in the form of modular relations in Fox H-...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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Singapore
World Scientific Pub. Co.
c2015
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| Schriftenreihe: | Series on number theory and its applications
vol. 10 |
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| Online-Zugang: | DE-92 URL des Erstveroeffentlichers |
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| 490 | 0 | |a Series on number theory and its applications |v vol. 10 | |
| 520 | |a This volume provides a systematic survey of almost all the equivalent assertions to the functional equations - zeta symmetry - which zeta-functions satisfy, thus streamlining previously published results on zeta-functions. The equivalent relations are given in the form of modular relations in Fox H-function series, which at present include all that have been considered as candidates for ingredients of a series. The results are presented in a clear and simple manner for readers to readily apply without much knowledge of zeta-functions. This volume aims to keep a record of the 150-year-old heritage starting from Riemann on zeta-functions, which are ubiquitous in all mathematical sciences, wherever there is a notion of the norm. It provides almost all possible equivalent relations to the zeta-functions without requiring a reader's deep knowledge on their definitions. This can be an ideal reference book for those studying zeta-functions | ||
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Datensatz im Suchindex
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| author | Kanemitsu, Shigeru |
| author_facet | Kanemitsu, Shigeru |
| author_role | aut |
| author_sort | Kanemitsu, Shigeru |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.56 |
| dewey-search | 515/.56 |
| dewey-sort | 3515 256 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV044639287 |
| illustrated | Illustrated |
| indexdate | 2024-12-24T06:14:04Z |
| institution | BVB |
| isbn | 9789814449625 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030037260 |
| oclc_num | 988734042 |
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| owner | DE-92 |
| owner_facet | DE-92 |
| physical | xii, 303 p. ill |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | World Scientific Pub. Co. |
| record_format | marc |
| series2 | Series on number theory and its applications |
| spelling | Kanemitsu, Shigeru Verfasser aut Contributions to the theory of zeta-functions the modular relation supremacy Shigeru Kanemitsu & Haruo Tsukada Singapore World Scientific Pub. Co. c2015 xii, 303 p. ill txt rdacontent c rdamedia cr rdacarrier Series on number theory and its applications vol. 10 This volume provides a systematic survey of almost all the equivalent assertions to the functional equations - zeta symmetry - which zeta-functions satisfy, thus streamlining previously published results on zeta-functions. The equivalent relations are given in the form of modular relations in Fox H-function series, which at present include all that have been considered as candidates for ingredients of a series. The results are presented in a clear and simple manner for readers to readily apply without much knowledge of zeta-functions. This volume aims to keep a record of the 150-year-old heritage starting from Riemann on zeta-functions, which are ubiquitous in all mathematical sciences, wherever there is a notion of the norm. It provides almost all possible equivalent relations to the zeta-functions without requiring a reader's deep knowledge on their definitions. This can be an ideal reference book for those studying zeta-functions Functions, Zeta Functional equations Mathematics Zetafunktion (DE-588)4190764-4 gnd rswk-swf Zetafunktion (DE-588)4190764-4 s 1\p DE-604 Tsukada, Haruo 1961- Sonstige oth Erscheint auch als Druck-Ausgabe 9789814449618 http://www.worldscientific.com/worldscibooks/10.1142/8711#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kanemitsu, Shigeru Contributions to the theory of zeta-functions the modular relation supremacy Functions, Zeta Functional equations Mathematics Zetafunktion (DE-588)4190764-4 gnd |
| subject_GND | (DE-588)4190764-4 |
| title | Contributions to the theory of zeta-functions the modular relation supremacy |
| title_auth | Contributions to the theory of zeta-functions the modular relation supremacy |
| title_exact_search | Contributions to the theory of zeta-functions the modular relation supremacy |
| title_full | Contributions to the theory of zeta-functions the modular relation supremacy Shigeru Kanemitsu & Haruo Tsukada |
| title_fullStr | Contributions to the theory of zeta-functions the modular relation supremacy Shigeru Kanemitsu & Haruo Tsukada |
| title_full_unstemmed | Contributions to the theory of zeta-functions the modular relation supremacy Shigeru Kanemitsu & Haruo Tsukada |
| title_short | Contributions to the theory of zeta-functions |
| title_sort | contributions to the theory of zeta functions the modular relation supremacy |
| title_sub | the modular relation supremacy |
| topic | Functions, Zeta Functional equations Mathematics Zetafunktion (DE-588)4190764-4 gnd |
| topic_facet | Functions, Zeta Functional equations Mathematics Zetafunktion |
| url | http://www.worldscientific.com/worldscibooks/10.1142/8711#t=toc |
| work_keys_str_mv | AT kanemitsushigeru contributionstothetheoryofzetafunctionsthemodularrelationsupremacy AT tsukadaharuo contributionstothetheoryofzetafunctionsthemodularrelationsupremacy |