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math.NT2022
Stuffle regularized multiple Eisenstein series revisited
Henrik Bachmann
Multiple Eisenstein series are holomorphic functions in the complex upper-half plane, which can be seen as a crossbreed between multiple zeta values and classical Eisenstein series…
math.NT2022
Combinatorial multiple Eisenstein series
Henrik Bachmann, Annika Burmester
We construct a family of -series with rational coefficients satisfying a variant of the extended double shuffle equations, which are a lift of a given -valued soluti…
math.NT2022
Partitions, Multiple Zeta Values and the q-bracket
Henrik Bachmann, Jan-Willem van Ittersum
We provide a framework for relating certain q-series defined by sums over partitions to multiple zeta values. In particular, we introduce a space of polynomial functions on partiti…