Rational solutions of linear differential equations
1989 ◽
Vol 46
(2)
◽
pp. 184-196
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Keyword(s):
AbstractLet L be a linear differential operator with rational coefficients such that 0 is not an irregular singularity of L and that for sufficiently many p's the equation Lv = 0 has no zero solution mod p. We show that if u is a formal power series whose coefficients are p-adic integers for almost all p and if Lu is rational, then u too is rational.
2003 ◽
Vol 184
(2)
◽
pp. 369-383
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Keyword(s):
2004 ◽
Vol 339
(8)
◽
pp. 533-538
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2002 ◽
Vol 51
(3)
◽
pp. 403-410
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2017 ◽
Vol 2018
(15)
◽
pp. 4780-4798
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Keyword(s):
2011 ◽
Vol 31
(1)
◽
pp. 331-343
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