number theory

Double -values of Negative Weight Admitting Series Representations

arXiv:2607.15037

summary

The paper constructs double L-values of negative weight that can be expressed via explicit series, employing the Thue‑Morse sequence in the construction.

Abstract

In this paper, we construct double -values of negative weight that admit series representations. In our construction, we use the Thue-Morse sequence, which appears in combinatorics on words and automatic sequences.

Topics & keywords

#double l-values#negative weight#series representations#thue-morse sequence#automatic sequences#combinatorics on wordsdouble L-valuesnegative weightseries representationThue-Morseautomatic sequencecombinatorial number theory
Double $L$-values of Negative Weight Admitting Series Representations · wovepaper