New Evaluations of Inverse Binomial Series via Cyclotomic Multiple Zeta Values

John M. Campbell; M. Lawrence Glasser; Yajun Zhou

New Evaluations of Inverse Binomial Series via Cyclotomic Multiple Zeta Values

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2403.16945 v2 pith:KOBWQXRU submitted 2024-03-25 math.CA hep-thmath.NT

New Evaluations of Inverse Binomial Series via Cyclotomic Multiple Zeta Values

John M. Campbell , M. Lawrence Glasser , Yajun Zhou This is my paper

classification math.CA hep-thmath.NT

keywords binomialcyclotomicinversemultipleseriesvalueszetaanalysis

verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

0 comments

read the original abstract

Through the application of an evaluation technique based on cyclotomic multiple zeta values recently due to Au, we solve open problems on inverse binomial series that were included in a 2010 analysis textbook by Chen.

discussion (0)

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

Derivative sums of balanced gamma quotients and multiple zeta values: four conjectures of Zhi-Wei Sun
math.GM 2026-07 accept novelty 8.0

Balanced gamma quotients reduce derivative sums to ordinary multiple zeta values, proving and correcting four conjectures of Sun without numerical fitting.