Local limit theorem for coeﬃcients of modiﬁed Borwein’s algorithm, proved by the ratio method | Zendy

Igoris Belovas | Zendy

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Local limit theorem for coeﬃcients of modiﬁed Borwein’s algorithm, proved by the ratio method

Author(s) -

Igoris Belovas

Publication year - 2019

Publication title -

lietuvos matematikos rinkinys

Language(s) - English

Resource type - Journals

eISSN - 2335-898X

pISSN - 0132-2818

DOI - 10.15388/lmr.b.2019.15208

Subject(s) - limit (mathematics) , mathematics , perspective (graphical) , function (biology) , riemann hypothesis , algorithm , pure mathematics , calculus (dental) , discrete mathematics , mathematical analysis , geometry , evolutionary biology , biology , medicine , dentistry

The paper continues the research of the modied Borwein method for the evaluation of the Riemann zeta-function. It provides a dierent perspective on the derivation of the local limit theorem for coecients of the method. The approach is based on the ratio method, proposed by Proschan.

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