Another look at Zagier's formula for multiple zeta values involving Hoffman elements
C Lupu - Mathematische Zeitschrift, 2022 - Springer
In this paper, we give an elementary account into Zagier's formula for multiple zeta values
involving Hoffman elements. Our approach allows us to obtain direct proof in a special case …
involving Hoffman elements. Our approach allows us to obtain direct proof in a special case …
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 …
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}} …