Periods of Hecke characters /
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| Author / Creator: | Schappacher, Norbert. |
|---|---|
| Imprint: | Berlin ; New York : Springer-Verlag, ©1988. |
| Description: | 1 online resource (xv, 160 pages). |
| Language: | English |
| Series: | Lecture notes in mathematics, 0075-8434 ; 1301 Lecture notes in mathematics (Springer-Verlag) ; 1301. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11071225 |
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| 100 | 1 | |a Schappacher, Norbert. |0 http://id.loc.gov/authorities/names/n83312425 |1 http://viaf.org/viaf/91780806 | |
| 245 | 1 | 0 | |a Periods of Hecke characters / |c Norbert Schappacher. |
| 260 | |a Berlin ; |a New York : |b Springer-Verlag, |c ©1988. | ||
| 300 | |a 1 online resource (xv, 160 pages). | ||
| 336 | |a text |b txt |2 rdacontent |0 http://id.loc.gov/vocabulary/contentTypes/txt | ||
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| 490 | 1 | |a Lecture notes in mathematics, |x 0075-8434 ; |v 1301 | |
| 504 | |a Includes bibliographical references (pages 148-151) and index. | ||
| 505 | 0 | |a Algebraic Hecke Characters -- Motives for Algebraic Hecke Characters -- The Periods of Algebraic Hecke Characters -- Elliptic Integrals and the gamma Function -- Abelian Integrals with Complex Multiplication -- Motives of CM Modular Forms -- References -- Alphabetical List of Symbols and Concepts. | |
| 520 | |a The starting point of this Lecture Notes volume is Deligne's theorem about absolute Hodge cycles on abelian varieties. Its applications to the theory of motives with complex multiplication are systematically reviewed. In particular, algebraic relations between values of the gamma function, the so-called formula of Chowla and Selberg and its generalization and Shimura's monomial relations among periods of CM abelian varieties are all presented in a unified way, namely as the analytic reflections of arithmetic identities beetween Hecke characters, with gamma values corresponding to Jacobi sums. The last chapter contains a special case in which Deligne's theorem does not apply. | ||
| 506 | |3 Use copy |f Restrictions unspecified |2 star |5 MiAaHDL | ||
| 533 | |a Electronic reproduction. |b [S.l.] : |c HathiTrust Digital Library, |d 2010. |5 MiAaHDL | ||
| 538 | |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
| 583 | 1 | |a digitized |c 2010 |h HathiTrust Digital Library |l committed to preserve |2 pda |5 MiAaHDL | |
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Hecke operators. |0 http://id.loc.gov/authorities/subjects/sh85059897 | |
| 650 | 0 | |a Forms, Modular. |0 http://id.loc.gov/authorities/subjects/sh85050826 | |
| 650 | 0 | |a Multiplication, Complex. |0 http://id.loc.gov/authorities/subjects/sh85088383 | |
| 650 | 0 | 4 | |a Formes modulaires. |
| 650 | 0 | 4 | |a Hecke, Opérateurs de. |
| 650 | 0 | 4 | |a Multiplication complexe. |
| 650 | 6 | |a Nombres algébriques, Théorie des. | |
| 650 | 7 | |a Forms, Modular. |2 fast |0 (OCoLC)fst00932983 | |
| 650 | 7 | |a Hecke operators. |2 fast |0 (OCoLC)fst00954424 | |
| 650 | 7 | |a Multiplication, Complex. |2 fast |0 (OCoLC)fst01029063 | |
| 650 | 0 | 7 | |a Größencharakter. |0 (DE-588)4197597-2 |2 gnd |
| 650 | 7 | |a Hecke, Opérateurs de. |2 ram | |
| 650 | 7 | |a Formes modulaires. |2 ram | |
| 650 | 7 | |a Multiplication complexe. |2 ram | |
| 650 | 0 | 7 | |a Motiv <Mathematik> |2 swd |
| 650 | 0 | 7 | |a Periode. |2 swd |
| 655 | 4 | |a Electronic books. | |
| 776 | 0 | 8 | |i Print version: |a Schappacher, Norbert. |t Periods of Hecke characters. |d Berlin ; New York : Springer-Verlag, ©1988 |z 3540189157 |w (DLC) 88160730 |w (OCoLC)17858417 |
| 830 | 0 | |a Lecture notes in mathematics (Springer-Verlag) ; |v 1301. | |
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