Irrationality of Fast Converging Series of Rational Numbers

Journal of Mathematical Sciences

Duverney, Daniel¹ 

关键词: Fast converging series;    irrationality;    irrationality measures;    Mahler's transcendence method;   

DOI  :  

学科分类：数学（综合）

来源: University of Tokyo * Department of Mathematical Sciences

【 摘 要 】

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

【 授权许可】

Unknown