10 citations · 32 across the 6 of their papers we have counts for
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Finite and symmetrized colored multiple zeta values
Johannes Singer, Jianqiang Zhao
Colored multiple zeta values are special values of multiple polylogarithms evaluated at Nth roots of unity. In this paper, we define both the finite and the symmetrized versions of…
Duality and (q-)multiple zeta values
Kurusch Ebrahimi-Fard, Dominique Manchon, Johannes Singer
Following Bachmann's recent work on bi-brackets and multiple Eisenstein series, Zudilin introduced the notion of multiple q-zeta brackets, which provides a q-analog of multiple zet…
Renormalisation group for multiple zeta values
Kurusch Ebrahimi-Fard, Dominique Manchon, Johannes Singer +1
Calculating multiple zeta values at arguments of any sign in a way that is compatible with both the quasi-shuffle product as well as meromorphic continuation, is commonly referred…
Transfer group for renormalized multiple zeta values
Kurusch Ebrahimi-Fard, Dominique Manchon, Johannes Singer +1
We describe in this work all solutions to the problem of renormalizing multiple zeta values at arguments of any sign in a quasi-shuffle compatible way. As a corollary we clarify th…
Renormalisation of q-regularised multiple zeta values
Kurusch Ebrahimi-Fard, Dominique Manchon, Johannes Singer
We consider a particular one-parameter family of q-analogues of multiple zeta values. The intrinsic q-regularisation permits an extension of these q-multiple zeta values to negativ…
The Hopf algebra of (q)multiple polylogarithms with non-positive arguments
Kurusch Ebrahimi-Fard, Dominique Manchon, Johannes Singer
We consider multiple polylogarithms in a single variable at non-positive integers. Defining a connected graded Hopf algebra, we apply Connes' and Kreimer's algebraic Birkhoff decom…
Positive Limit-Fourier Transform of Farey Fractions
Johannes Singer
We consider the entity of modified Farey fractions via a function F defined on the direct sum of Z/2Z and we prove that -F has a non negative Limit-Fourier transform up to one exce…