Block shuffle identities for multiple zeta values

TL;DR

This paper proves a new class of identities among multiple zeta values that resolve and generalize previous conjectures, advancing understanding in this mathematical area.

Contribution

It introduces a novel class of identities among multiple zeta values that unify and extend prior conjectures and results.

Findings

Proved a new class of identities among multiple zeta values

Resolved two families of conjectural identities from 1998

Generalized previous conjectures using block shuffle identities

Abstract

In 1998, Borwein, Bradley, Broadhurst and Lison\v{e}k posed two families of conjectural identities among multiple zeta values, later generalized by Charlton using his alternating block notation. In this paper, we prove a new class of identities among multiple zeta values that simultaneously resolve and generalize these conjectures.