Local limit theorem for coefficients of modified Borwein’s algorithm, proved by the ratio method
Articles
Igoris Belovas
Vilnius Gediminas Technical University, Vilnius University
https://orcid.org/0000-0002-0478-1102
Published 2019-12-05
https://doi.org/10.15388/LMR.B.2019.15208
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Keywords

local limit theorem
ratio method
asymptotic normality

How to Cite

Belovas I. (2019) “Local limit theorem for coefficients of modified Borwein’s algorithm, proved by the ratio method”, Lietuvos matematikos rinkinys, 60(B), pp. 11-14. doi: 10.15388/LMR.B.2019.15208.

Abstract

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

 

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