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比利时vs摩洛哥足彩 ,
university of california san diego

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math 209 - number theory

keith conrad

ucsd

revisiting the gross-koblitz formula

abstract:

the gross-koblitz formula describes gauss sums on finite fieldsof characteristic $p$ in terms of the $p$-adic gamma function. thisformula is a $p$-adic lifting of stickelberger's congruence on gauss sums.there have been several proofs of the formula (gross-koblitz,dwork-boyarsky, katz, coleman), which all involve some cohomologicalcalculations. recently, a proof has been found by a. robert which isconceptual but truly elementary, at the level of "freshman $p$-adicanalysis." we will discuss robert's proof and describe possibleextensions

host:

february 6, 2003

2:00 pm

ap&m 7321

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