Abstract
Special values of the zeta-functions of Fermat varieties over finite fields at integral arguments are computed. Guided by a series of conjectures by Lichtenbaum and Milne, and by Shioda, arithmetical and geometrical interpretations of these special values are discussed.
The research on this work was partially supported by the Natural Sciences and Engineering Research Council of Canada (NSERC) under grants 0GP0036283 and BEF0093444, and by the Royal Society of London. This is an extended version of the talk presented at New York Number Theory Seminar on March 15, 1990 at Graduate Center CUNY, New York City.
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Yui, N. (1991). Special Values of Zeta-Functions of Fermat Varieties over Finite Fields. In: Chudnovsky, D.V., Chudnovsky, G.V., Cohn, H., Nathanson, M.B. (eds) Number Theory. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-4158-2_13
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DOI: https://doi.org/10.1007/978-1-4757-4158-2_13
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