Abstract: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 via rational zeta series involving the coefficient ζ(2n). This formula plays an important role in proving Hoffman's conjecture which asserts that every multiple zeta value of weight k can be expressed as a Q-linear combinations of multiple zeta values of the same weight involving 2's and 3's. Also, using a similar hypergeometric … Show more
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