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| Titel: |
On Local Objects Attached to [image omitted] and [image omitted] Functions |
| Auteur: |
Berg, Michael |
| Verschenen in: |
Integral transforms and special functions |
| Paginering: | Jaargang 10 (2000) nr. 1 pagina's 13-24 |
| Jaar: |
2000-08 |
| Inhoud: |
Weil indices are attached individually to local Well representations of local symplectic groups and, collectively (and in a product formula), to the adelic Weil Θ funtional. Therefore Weil indices can be attached to classical ζ functions. Root numbers, or local constants, are attached to the decomposition of L and functions into local factors. Since there is a classical integral-transform connection between ζ and ζ there must be an according conection between Weil indices and local constants. We prove that this is so for the prototypical case of the Dedekind ζ funtion, and, indeed, that this relationship is given in terms of an equation involving an integral of dimension nplus1 where n is the degree of the underlying (totally real) algebraic number field |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 8 van 9 gevonden artikelen
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