q-metallic numbers have Taylor coefficient sequences characterized by recurrences or differential equations, with closed forms for n=1,2,3, asymptotics, modular identities, and a signed connection to RNA secondary structures.
Continued fractions forq-deformed real numbers,{−1,0,1}-Hankel determinants, and Somos-Gale-Robinson sequences.Adv
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.CO 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Establishes that traces of q-deformed higher continued fraction matrices equal dimer partition functions on good higher dimers of band graphs and proves lattice structure plus palindromic symmetry for certain families.
citing papers explorer
-
Analytical properties of $q$-metallic numbers
q-metallic numbers have Taylor coefficient sequences characterized by recurrences or differential equations, with closed forms for n=1,2,3, asymptotics, modular identities, and a signed connection to RNA secondary structures.
-
Higher $q$-Continued Fractions and Dimers on Band Graphs
Establishes that traces of q-deformed higher continued fraction matrices equal dimer partition functions on good higher dimers of band graphs and proves lattice structure plus palindromic symmetry for certain families.