2021
DOI: 10.1112/s0010437x21007107
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Logarithmic growth filtrations for -modules over the bounded Robba ring

Abstract: In the 1970s, Dwork defined the logarithmic growth (log-growth for short) filtrations for $p$ -adic differential equations $Dx=0$ on the $p$ -adic open unit disc $|t|<1$ , which measure the asymptotic behavior of solutions $x$ as $|t|\to 1^{-}$ . Then, Dwork calculated the log-growth filtration for $p$ -adic Gaussian hy… Show more

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Cited by 3 publications
(1 citation statement)
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“…Assertion (ii) can be viewed as an example of Dwork-Chiarellotto-Tsuzuki conjecture on the comparison between the log-growth filtration (of solutions) and Frobenius slope filtration [31]. This conjecture was recently proved by Ohkubo [71].…”
Section: 22mentioning
confidence: 92%
“…Assertion (ii) can be viewed as an example of Dwork-Chiarellotto-Tsuzuki conjecture on the comparison between the log-growth filtration (of solutions) and Frobenius slope filtration [31]. This conjecture was recently proved by Ohkubo [71].…”
Section: 22mentioning
confidence: 92%