Gamma functions and Gauss sums for function fields and periods of Drinfeld modules
dc.contributor.author | Thakur, Dinesh S., 1961- | |
dc.date.accessioned | 2024-02-26T21:55:13Z | |
dc.date.available | 2024-02-26T21:55:13Z | |
dc.date.issued | 1987 | |
dc.description.abstract | We define gamma functions for function fields and interpolate them at all places, refining the construction due to Carlitz and Goss for the rational function field by including the degree part and generalising it. We prove reflection and multiplication formulae for them and relate the special values, for the infinite place, to the periods of appropriate Drinfeld modules. | en_US |
dc.identifier.citation | Thakur, D. S. (1987). Gamma functions and Gauss sums for function fields and periods of Drinfeld modules. Retrieved from ProQuest Digital Dissertations (AAT 8800859) | en_US |
dc.identifier.uri | https://www.ulethbridge.ca/lib/ematerials/handle/123456789/2927 | |
dc.language.iso | en | en_US |
dc.publisher | Harvard University | en_US |
dc.subject | Function fields | |
dc.subject.lcsh | Algebraic fields | |
dc.subject.lcsh | Algebraic functions | |
dc.subject.lcsh | Forms, Modular | |
dc.subject.lcsh | Gamma functions | |
dc.subject.lcsh | Gaussian sums | |
dc.subject.lcsh | Drinfeld modules | |
dc.title | Gamma functions and Gauss sums for function fields and periods of Drinfeld modules | en_US |
dc.type | Thesis | en_US |