The theory of Hardy's Z-function /:
"This book is an outgrowth of a mini-course held at the Arctic Number Theory School, University of Helsinki, May 18-25, 2011. The central topic is Hardy's function, of great importance in the theory of the Riemann zeta-function. It is named after Godfrey Harold Hardy FRS (1877{1947), who w...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York :
Cambridge University Press,
2013.
|
| Schriftenreihe: | Cambridge tracts in mathematics ;
196. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | "This book is an outgrowth of a mini-course held at the Arctic Number Theory School, University of Helsinki, May 18-25, 2011. The central topic is Hardy's function, of great importance in the theory of the Riemann zeta-function. It is named after Godfrey Harold Hardy FRS (1877{1947), who was a prominent English mathematician, well-known for his achievements in number theory and mathematical analysis"-- |
| Beschreibung: | 1 online resource (xvii, 245 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 225-238) and indexes. |
| ISBN: | 9781139782982 1139782983 9781139236973 1139236970 9781139776950 1139776959 1283714760 9781283714761 9781139779999 1139779990 |
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| contents | Definition of (s), Z(t) and basic notions -- Zeros on the critical line -- Selberg class of L-functions -- Approximate functional equations for k(s) -- Derivatives of Z(t) -- Gram points -- Moments of Hardy's function -- Primitive of Hardy's function -- Mellin transforms of powers of Z(t) -- Further results on Mk(s) and Zk(s) -- On some problems involving Hardy's function. |
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| indexdate | 2024-11-27T13:25:02Z |
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| isbn | 9781139782982 1139782983 9781139236973 1139236970 9781139776950 1139776959 1283714760 9781283714761 9781139779999 1139779990 |
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| series | Cambridge tracts in mathematics ; |
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| spelling | Ivić, A., 1949- author. https://id.oclc.org/worldcat/entity/E39PBJkXw3RtTjcMG3pjywYpT3 http://id.loc.gov/authorities/names/n80083143 The theory of Hardy's Z-function / Aleksandar Ivić, Univerzitet u Beogradu, Serbia. Cambridge ; New York : Cambridge University Press, 2013. ©2013 1 online resource (xvii, 245 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Cambridge tracts in mathematics ; 196 "This book is an outgrowth of a mini-course held at the Arctic Number Theory School, University of Helsinki, May 18-25, 2011. The central topic is Hardy's function, of great importance in the theory of the Riemann zeta-function. It is named after Godfrey Harold Hardy FRS (1877{1947), who was a prominent English mathematician, well-known for his achievements in number theory and mathematical analysis"-- Provided by publisher. Includes bibliographical references (pages 225-238) and indexes. Print version record. Definition of (s), Z(t) and basic notions -- Zeros on the critical line -- Selberg class of L-functions -- Approximate functional equations for k(s) -- Derivatives of Z(t) -- Gram points -- Moments of Hardy's function -- Primitive of Hardy's function -- Mellin transforms of powers of Z(t) -- Further results on Mk(s) and Zk(s) -- On some problems involving Hardy's function. Number theory. http://id.loc.gov/authorities/subjects/sh85093222 Théorie des nombres. MATHEMATICS Number Theory. bisacsh Números, Teoría de embucm Number theory fast Print version: Ivić, A., 1949- Theory of Hardy's Z-function 9781107028838 (DLC) 2012024804 (OCoLC)824601155 Cambridge tracts in mathematics ; 196. http://id.loc.gov/authorities/names/n42005726 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=494747 Volltext |
| spellingShingle | Ivić, A., 1949- The theory of Hardy's Z-function / Cambridge tracts in mathematics ; Definition of (s), Z(t) and basic notions -- Zeros on the critical line -- Selberg class of L-functions -- Approximate functional equations for k(s) -- Derivatives of Z(t) -- Gram points -- Moments of Hardy's function -- Primitive of Hardy's function -- Mellin transforms of powers of Z(t) -- Further results on Mk(s) and Zk(s) -- On some problems involving Hardy's function. Number theory. http://id.loc.gov/authorities/subjects/sh85093222 Théorie des nombres. MATHEMATICS Number Theory. bisacsh Números, Teoría de embucm Number theory fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85093222 |
| title | The theory of Hardy's Z-function / |
| title_auth | The theory of Hardy's Z-function / |
| title_exact_search | The theory of Hardy's Z-function / |
| title_full | The theory of Hardy's Z-function / Aleksandar Ivić, Univerzitet u Beogradu, Serbia. |
| title_fullStr | The theory of Hardy's Z-function / Aleksandar Ivić, Univerzitet u Beogradu, Serbia. |
| title_full_unstemmed | The theory of Hardy's Z-function / Aleksandar Ivić, Univerzitet u Beogradu, Serbia. |
| title_short | The theory of Hardy's Z-function / |
| title_sort | theory of hardy s z function |
| topic | Number theory. http://id.loc.gov/authorities/subjects/sh85093222 Théorie des nombres. MATHEMATICS Number Theory. bisacsh Números, Teoría de embucm Number theory fast |
| topic_facet | Number theory. Théorie des nombres. MATHEMATICS Number Theory. Números, Teoría de Number theory |
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| work_keys_str_mv | AT ivica thetheoryofhardyszfunction AT ivica theoryofhardyszfunction |