Hyperkloosterman sums revisited
| Autor: | Adolphson, Alan, Sperber, Steven |
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| Rok vydání: | 2019 |
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| Druh dokumentu: | Working Paper |
| Popis: | We return to some past studies of hyperkloosterman sums ([9,10]) via $p$-adic cohomology with an aim to improve earlier results. In particular, we work here with Dwork's $\theta_\infty$-splitting function and a better choice of basis for cohomology. To a large extent, we are guided to this choice of basis by our recent work on the $p$-integrality of coefficients of $A$-hypergeometric series[3]. In the earlier work, congruence estimates were limited to $p>n+2$. We are here able to remove all characteristic restrictions from earlier results. Comment: 22 pages |
| Databáze: | arXiv |
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