Open AccessLocal 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.