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- W2464039850 abstract "We prove an Iwasawa Main Conjecture for the class group of the $mathfrak{p}$-cyclotomic extension $mathcal{F}$ of the function field $mathbb{F}_q(theta)$ ($mathfrak{p}$ is a prime of $mathbb{F}_q[theta],$), showing that its Fitting ideal is generated by a Stickelberger element. We use this and a link between the Stickelberger element and a $mathfrak{p}$-adic $L$-function to prove a close analog of the Ferrero-Washington theorem for $mathcal{F}$ and to provide informations on the $mathfrak{p}$-adic valuations of the Bernoulli-Goss numbers $beta(j)$ (i.e., on the values of the Goss $zeta$-function at negative integers)." @default.
- W2464039850 created "2016-07-22" @default.
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- W2464039850 date "2014-12-18" @default.
- W2464039850 modified "2023-10-14" @default.
- W2464039850 title "Iwasawa Main Conjecture for the Carlitz cyclotomic extension and applications" @default.
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