Elementary proofs of Zagier's formula for multiple zeta values and its odd variant
L Lai, C Lupu, D Orr - arXiv preprint arXiv:2201.09262, 2022 - arxiv.org
In this paper, we give elementary proofs of Zagier's formula for multiple zeta values involving
Hoffman element and its odd variant due to Murakami. Zagier's formula was a key ingredient …
Hoffman element and its odd variant due to Murakami. Zagier's formula was a key ingredient …
Approximations by special values of the Riemann zeta function via cotangent integrals
C Lupu, D Wu - Journal of Mathematical Analysis and Applications, 2025 - Elsevier
Let A be a sufficiently dense subset of {ζ (3), ζ (5), ζ (7)…}. We show that real numbers can
be approximated by certain linear combinations of elements in A, where the coefficients are …
be approximated by certain linear combinations of elements in A, where the coefficients are …
Analytic Aspects of the Riemann Zeta and multiple zeta values
C Lupu - 2018 - d-scholarship.pitt.edu
This manuscript contains two parts. The first part contains fast converging series
representations involving $\zeta (2n) $ for Apery's constant $\zeta (3) $. These …
representations involving $\zeta (2n) $ for Apery's constant $\zeta (3) $. These …
[PDF][PDF] Multiple Zeta Values and Bell Polynomials
R Sivaraman, JJD Bulnes… - European Journal of …, 2024 - ejaset.com
Multiple Zeta Values and Bell Polynomials Page 1 European Journal of Applied Science, ©2024
The Author(s). Published under a CC BY 4.0 license Engineering and Technology, 2(2): 233-235 …
The Author(s). Published under a CC BY 4.0 license Engineering and Technology, 2(2): 233-235 …
From basel problem to multiple zeta values
M Kobayashi - The Journal of Analysis, 2024 - Springer
Abstract Boo Rim Choe (1987) used the Maclaurin series of arcsin and Wallis integral to
provide another proof for Basel problem. We apply this method to derive more formulas on …
provide another proof for Basel problem. We apply this method to derive more formulas on …
Proof of a conjecture due to Sun concerning Catalan's constant
J Campbell - 2022 - hal.science
In 2014, Sun had conjectured that the following formula involving Catalan's constant $ G $
holds, letting $ H_ {n}= 1+\frac {1}{2}+\cdots+\frac {1}{n} $ denote the $ n^{\text {th}} …
holds, letting $ H_ {n}= 1+\frac {1}{2}+\cdots+\frac {1}{n} $ denote the $ n^{\text {th}} …
TWO INTEGRAL REPRESENTATIONS FOR APÉRY CONSTANT AND ITS APPLICATIONS TO MULTIPLE ZETA VALUES (Analytic Number Theory and Related …
M KOBAYASHI - 数理解析研究所講究録, 2022 - repository.kulib.kyoto-u.ac.jp
TWO INTEGRAL REPRESENTATIONS FOR APERY CONSTANT AND ITS APPLICATIONS TO
MULTIPLE ZETA VALUES 2 Page 1 11 TWO INTEGRAL REPRESENTATIONS FOR APERY …
MULTIPLE ZETA VALUES 2 Page 1 11 TWO INTEGRAL REPRESENTATIONS FOR APERY …