Wilf [Accelerated series for universal constants, by the WZ method, Discrete Math. Theor.
Comput. Sci. 3 (1999) 189–192] applied Zeilberger's algorithm to obtain an accelerated …

1 n2k with k being a positive integer. We evaluate these sums with multiple integration, a
modern technique. First, we start with three different double integrals that have been …

Ever since Euler solved the so-called Basler problem of ${\zeta}(2)=\sum_ {n= 1}^{\infty} 1/n^
2$, numerous evaluations of ${\zeta}(2n) $($ n {\in}\mathbb {N} $) as well as ${\zeta}(2) …

In this note, we offer a historical perspective on solutions of the Basel problem. In particular,
we have a closer look at some of the less famous results by Euler E41 and provide a review …

By doing a slight change to a beautiful and widely unknown argument by EL Stark [EL Stark,
Application of a Mean Value Theorem for Integrals to Series Summation, Amer. Math …

The history of complex analysis is a fascinating subject. Many mathematicians took part in
the development of complex function theory. As one would expect, Euler was among them …

The number $\frac {\pi^{2}}{6} $ is involved in the variance of several distributions in
statistics. At the same time it holds $\sum\nolimits_ {k= 1}^{\infty} k^{-2}=\frac {\pi^{2}}{6} …

This paper aims to introduce novel series representations for the Riemann Zeta function,
along with its associated functions like the Dirichlet eta (alternating zeta) function and the …

Introductory Mathematical Analysis for Quantitative Finance is a textbook designed to enable
students with little knowledge of mathematical analysis to fully engage with modern …

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EXTENSIONS OF THE SELBERG-DELANGE METHOD BY M.TIP EASTER PHAOVIBUL …