A note on non-Robba $p$-adic differential equations

Details A note on non-Robba $p$-adic differential equations A note on non-Robba $p$-adic differential equations

2011-03-25

arxiv.org/abs/1103.4948v1

Proc. Japan Acad. Ser. A Math. Sci. Volume 87, Number 3 (2011), 40-43

Mathematics

Number Theory

4 pages

Scientific paper

10.3792/pjaa.87.40

Let $\mathcal{M}$ be a differential module, whose coefficients are analytic elements on an open annulus $I$ ($\subset \bR_{>0}$) in a valued field, complete and algebraically closed of inequal characteristic, and let $R(\mathcal{M}, r)$ be the radius of convergence of its solutions in the neighbourhood of the generic point $t_r$ of absolute value $r$, with $r\in I$. Assume that $R(\mathcal{M}, r)

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