Open Research Index

KR-mod9-lean

Yuma Mizuno

Palomar Registrypalomar/PALOMAR-2026-09-10-000002Sep 10, 2026math.NTscore 0

Lean 4 proofs of the three Kanade-Russell identities modulo nine as identities of integer formal power series, including coefficientwise summability of the defining double sums. The development includes concrete vertex-operator spanning bounds and the character evaluations used to identify the sums with their infinite products.

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