28 citations · 57 across the 21 of their papers we have counts for
29 papers
A -recurrence for a finite Apéry limit
Henrik Bachmann
The Kaneko-Zagier conjecture predicts a correspondence between finite and symmetric multiple zeta values. Under this correspondence, corresponds to an element defined…
Shifted log-sine integrals and multiple zeta values
Henrik Bachmann
We show that the shifted log-sine integrals with odd entries, introduced by Umezawa, are multiple zeta values. In particular, they define an algebra homomorphism from the f-alphabe…
Formal finite multiple zeta values
Henrik Bachmann, Risan
We study the algebra of formal finite multiple zeta values by imposing the stuffle and linear shuffle relations of Kaneko and Zagier. Our first results are a surjective homomorphis…
Multiple Zeta Values
Henrik Bachmann
These lecture notes are based on three courses given at Nagoya University. Their purpose is to give a beginner-friendly introduction to multiple zeta values and several of their va…
Schur Eisenstein series and Schur MacMahon series
Henrik Bachmann, Jinbo Yu
We introduce and study two partition-indexed families of quasimodular forms obtained from Schur functions: Schur Eisenstein series and Schur MacMahon series. An explicit transition…
A Weighted Sum Formula for Double Eisenstein Series
Henrik Bachmann
We prove a weighted sum formula for double Eisenstein series. Its corresponding identity for the generating series of multiple divisor sums was conjectured by the author in his mas…