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- W2997002840 abstract "We consider a Laurent series defined by infinite products $g_u(t) = prod_{n=0}^infty (1 + ut^{-2^n})$, where $uin mathbb{F}$ is a parameter and $mathbb{F}$ is a field. We show that for all $uinmathbb{Q}setminus{-1,0,1}$ the series $g_u(t)$ does not satisfy the $t$-adic Littlewood conjecture. On the other hand, if $mathbb{F}$ is finite then $g_u(t)in mathbb{F}((t^{-1}))$ is either a rational function or it satisfies the $t$-adic Littlewood conjecture." @default.
- W2997002840 created "2020-01-10" @default.
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- W2997002840 date "2020-01-06" @default.
- W2997002840 modified "2023-09-27" @default.
- W2997002840 title "On t-adic Littlewood conjecture for generalised Thue-Morse functions" @default.
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