Double $L$-values of Negative Weight Admitting Series Representations

Daiki Iju; Takashi Nakamura

Double $L$-values of Negative Weight Admitting Series Representations

Number Theory 2026-07-16 v1

Authors: Daiki Iju , Takashi Nakamura

Abstract

In this paper, we construct double $L$ -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.

Keywords

double L-values negative weight series representation Thue-Morse sequence automatic sequences

Cite

@article{arxiv.2607.15037,
  title  = {Double $L$-values of Negative Weight Admitting Series Representations},
  author = {Daiki Iju and Takashi Nakamura},
  journal= {arXiv preprint arXiv:2607.15037},
  year   = {2026}
}