2 papers
math.CO2024
The extended reverse ultra log-concavity of transposed Boros-Moll sequences
James J. Y. Zhao
The Boros-Moll sequences arise in the study of evaluation of a quartic integral. After the infinite log-concavity conjecture of the sequence $\{d_\ell(m)…
math.CO2024
The Briggs inequality of Boros-Moll sequences
Zhong-Xue Zhang, James Jing Yu Zhao
Briggs conjectured that if a polynomial with real coefficients has only negative zeros, then $$a^2_k(a^2_k - a_{k-1}a_{k+1}) > a^2_{k-1}(a^2_{k+1} - a_ka_{…