A q-analogue of the Koecher-Leshchiner generating function of odd zeta values
Abstract
In the 1980s, Koecher and, independently, Leshchiner found an elegant formula for the generating function of odd zeta values. In this short note, we derive a q-analogue of this formula, which provides a q-version of the accelerated series for ζ(3) used by Ap\'ery in his famous proof of irrationality.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.