Irrationality of Fast Converging Series of Rational Numbers

Duverney Daniel

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Irrationality of Fast Converging Series of Rational Numbers

机译：快速收敛的有理数级数的非理性

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Wesaythattheseriesofgeneralterm$u_n ot=0$isfastconvergingif$logvv{u_n}leqc2^n$forsome$c0$.Weproveirrationalityresultsandcomputeirrationalitymeasuresforsomefastconvergingseriesofrationalnumbers,byusingMahler'stranscendencemethodintheformintroducedbyLoxtonandVanderPoorten.Withveryweakassumptionsonsequence$u_n$,thismethodallowstoobtainonlyirrationalityresults.

机译：我们假设一般项的序列$ u_n ot = 0 $是快速收敛的，如果$ logvv {u_n} leqc2 ^ n $ forsome $ c <0 $。

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《Journal of mathematical sciences, The University of Tokyo》 |2001年第2期|共页
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Duverney Daniel;
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中图分类数学;
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Irrationality of Fast Converging Series of Rational Numbers

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