| Автор | Martin, Roland |
| Дата выпуска | 1995 |
| dc.description | The generalized Igusa local zeta function Z <sub>Q<sub> p </sub> </sub> (s) associated to (SL<sub>7</sub>, ρ), where ρ is the Cartan product of the first, third and fifth fundamental representations of SL<sub>7</sub>, is explicitly computed and shown not to satisfy the expected functional equation |
| Формат | application.pdf |
| Издатель | Taylor & Francis Group |
| Копирайт | Copyright Taylor and Francis Group, LLC |
| Название | A Counterexample in the Theory of Local Zeta Functions |
| Тип | research-article |
| DOI | 10.1080/10586458.1995.10504330 |
| Electronic ISSN | 1944-950X |
| Print ISSN | 1058-6458 |
| Журнал | Experimental Mathematics |
| Том | 4 |
| Первая страница | 299 |
| Последняя страница | 305 |
| Аффилиация | Martin, Roland; Department of Mathematics, United States Naval Academy |
| Выпуск | 4 |
| Библиографическая ссылка | Cartan, Élie. 1913. “Les groupes projectifs qui ne laissent invariante aucune multiplicité plane”. Bull. Soc. Math. France, 41: 1–44. [Cartan 1913] |
| Библиографическая ссылка | Denef, Jan and Meuser, Diane. 1991. “A functional equation of Igusa's local zeta function”. Amer. J. Math., 113: 1135–1152. [Denef and Meuser 1991] |
| Библиографическая ссылка | Igusa, Jun-ichi. 1974. “Complex powers and asymptotic expansions I”. J. reine angew. Math., 268/269: 110–130. [Igusa 1974] |
| Библиографическая ссылка | Igusa, Jun-ichi. 1975. “Complex powers and asymptotic expansions II”. J. reine angew. Math., 278/279: 307–321. [Igusa 1975] |
| Библиографическая ссылка | Igusa, Jun-ichi. 1989. “Universal p-adic zeta functions and their functional equations”. Amer. J. Math., 111: 671–716. [Igusa 1989] |
| Библиографическая ссылка | Joyner, David and Martin, Roland. “A Maple package for the decomposition of certain tensor products of representations using crystal graphs” [Joyner and Martin 1994], preprint, ftp://ftp.maplesoft.com/pub/maple/share/5.3_combined/share/crystal.tex. The package itself can be obtained at …/crystal |
| Библиографическая ссылка | Martin, Roland. 1992. “The universal p-adic zeta function associated to the adjoint group of SL<sub>l+1</sub>enlarged by the group of scalar multiples” [Martin 1992a], preprint |
| Библиографическая ссылка | Martin, Roland. 1992. “On generalized Igusa local zeta functions associated to simple Chevalley K-groups of type A<sub>l</sub>B<sub>l</sub>C<sub>l</sub>D<sub>l</sub>E<sub>6</sub>E<sub>7</sub>E<sub>8</sub>F<sub>4</sub>and G<sub>2</sub>under the adjoint representation” [Martin 1992b], preprint |
| Библиографическая ссылка | Martin, Roland. 1996. “On simple Igusa local zeta functions”. Electronic Research Announcements of the AMS, 1(3) [Martin 1996] |
| Библиографическая ссылка | Martin, Roland. “On the classification of Igusa local zeta functions associated to certain irreducible matrix groups” [Martin a], in preparation |
