#q-series
4 papers · 1 filter
Interior zeros of supersymmetric indices
Yu Nakayama, Tadashi Okazaki
The paper investigates interior zeros of supersymmetric indices, showing they arise when underlying arithmetic coefficients grow exponentially and can be identified from the q‑seri…
A proof of Andrews-El Bachraoui's conjecture on the parity of coefficients of a -series
Eric H. Liu, Ernest X. W. Xia
The authors prove the Andrews‑El Bachraoui conjecture on the parity of coefficients of a certain odd‑companion q‑series, and they obtain infinite families of modulo‑8 congruences f…
Positivity and tails of Jacobi theta series
Nian Hong Zhou
The paper proves that the coefficients in the tail expansions of Jacobi theta series are non‑negative for all relevant indices, using elementary q‑series manipulations.
Formalized -series: The Rogers-Ramanujan Identities and Beyond
Kenny Lau, Seewoo Lee, Ken Ono
The paper develops a formalization of q‑series theory in the Lean proof assistant, building foundational structures like q‑Pochhammer symbols and Bailey's Lemma, and provides fully…