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- W2024257500 abstract "Let $k$ be the rational function field over the finite field of $q$ elements and $bar{k}$ its fixed algebraic closure. In this paper, we study algebraic relations over $bar{k}$ among the fundamental period $widetilde{pi}$ of the Carlitz module and the positive characteristic multizeta values $zeta(n)$ and $zeta(n,n)$ for an odd integer $n$, where we say that $n$ is odd if $q-1$ does not divide $n$. We prove that either they are algebraically independent over $bar{k}$ or satisfy some simple relation over $k$. We also prove that if $2n$ is odd then they are algebraically independent over $bar{k}$." @default.
- W2024257500 created "2016-06-24" @default.
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- W2024257500 date "2015-02-25" @default.
- W2024257500 modified "2023-10-14" @default.
- W2024257500 title "Algebraic independence of the Carlitz period and the positive characteristic multizeta values at $n$ and $(n,n)$" @default.
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- W2024257500 doi "https://doi.org/10.1090/s0002-9939-2015-12532-4" @default.
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