For more information about this meeting, contact Robert Vaughan.
| Title: | Special values of Goss L-functions and log-algebraicity |
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| Seminar: | Algebra and Number Theory Seminar |
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| Speaker: | Matt Papanikolas, University of Texas |
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| Abstract: |
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| We will consider special values of Goss L-functions for Dirichlet characters at positive integers, which take values in the completion of the rational function field in one variable over a finite field. Building on work of Anderson for the case of L(1,chi), we will deduce various power series identities on tensor powers of the Carlitz module that are "log-algebraic" and in turn use these formulas to access values L(n,chi) for arbitrary n > 0. Moreover, we will
relate these L-series values to powers of the Carlitz period and values of Carlitz polylogarithms at algebraic points. |
Room Reservation Information
| Room Number: | MB106 |
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| Date: | 10 / 29 / 2009 |
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| Time: | 11:15am - 12:05pm |
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