Abstract
In a previous paper, the first named author introduced a two-parameter deformation of multiple zeta values. Its generating function is given by a multiple integral whose integrand is a product of Kronecker’s double series. In this paper, we use a scaling limit of Kronecker’s double series to construct a one-parameter deformation of multiple L-values (dMLVs). We prove double shuffle relations among them and construct an entire function interpolating the dMLVs.
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The research of YT is supported by JSPS KAKENHI Grant Number 18K03233.
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Kato, M., Takeyama, Y. A deformation of multiple L-values. Ramanujan J 57, 93–118 (2022). https://doi.org/10.1007/s11139-021-00441-8
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DOI: https://doi.org/10.1007/s11139-021-00441-8