[HTML][HTML] The Euler–Riemann zeta function in some series formulae and its values at odd integer points

MR Stevanović, PB Petrović - Journal of Number Theory, 2017 - Elsevier
The paper presents formulae for certain series involving the Riemann zeta function. These
formulae are generalizations, in a natural way, of well known formulae, originating from …

Interpreting divergences and Madelung-type sums via extrapolations of sequence generating polynomials: Method of intersection and area rule

K Bhattacharyya - Journal of the Indian Chemical Society, 2021 - Elsevier
Based on explorations in estimating certain Madelung constants, we put forward here two
separate strategies to understand the meaning of two distinct classes of divergent non …

Об аналоге постоянной Эйлера-Маскерони и закономерностях его изменения

АД Гербер, ЕА Гербер - … научно-исследовательский журнал, 2018 - cyberleninka.ru
Работа посвящена описанию закономерностей аппроксимации частичной суммы
обобщенного гармонического числового ряда. Ряды этого типа достаточно часто …

Dirichlet eta and beta functions at negative integer arguments: Exact results from anti-limits

K Bhattacharyya - arXiv preprint arXiv:1910.04682, 2019 - arxiv.org
A route to evaluate exact sums represented by Dirichlet eta and beta functions, both of which
are alternating and divergent at negative integer arguments, is advocated. It rests on precise …