Ernest X. W. Xia

activity

20072026

most citedThe Ratio Monotonicity of the Boros-Moll Polynomials

21 citations · 24 across the 10 of their papers we have counts for

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math.CO2026

On Chen's conjecture for the log-concavity of the longest increasing subsequence distribution

Ernest X. W. Xia

Let $P_{n, k}$ count permutations of $[n] = {1, \dots, n}$ whose longest increasing subsequence has length $k$ . Chen conjectured that $(P_{n, k})_{k = 1}^{n}$ is log-concave for every pos…

math.NT2026

Proofs of eighteen conjectural identities related to the modulo nine Kanade--Russell identities

Ernest X. W. Xia

Uncu and Zudilin studied reflections of finite forms of the modulo nine Kanade--Russell identities under $q \mapsto q^{- 1}$ , leading to ten conjectural sum--product evaluations, inc…

math.NT2026

The modulo 9 Kanade--Russell identities and their Nahm-sum duals

Ernest X. W. Xia

Kanade and Russell initiated a family of conjectural Rogers--Ramanujan type identities of moduli $9$ and $12$ , which ultimately comprised five modulo $9$ identities and eleven modu…