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Original scientific paper

https://doi.org/10.3336/gm.54.1.01

A local limit theorem for coefficients of modified Borwein's method

Igoris Belovas orcid id orcid.org/0000-0002-0478-1102 ; Vilnius Gediminas Technical University , 10223 Vilnius, Lithuania


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Abstract

The paper extends the study of the modified Borwein method for the calculation of the Riemann zeta-function. It presents an alternative perspective on the proof of a local limit theorem for coefficients of the method. The new approach is based on the connection with the limit theorem applied to asymptotic enumeration.

Keywords

Local limit theorem; asymptotic enumeration; asymptotic normality

Hrčak ID:

220839

URI

https://hrcak.srce.hr/220839

Publication date:

7.6.2019.

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