T. Newton

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math.CO2026

Exact $3$ -Adic Periods of Symmetric Dellac Numbers and Their Polynomial Extensions

Tony Newton, Jiang Zeng

The odd and even symmetric Dellac numbers are the specializations $a_{n} = f_{n} (0)$ and $e_{n} = f_{n} (1)$ of the Randrianarivony--Zeng family $f_{n} (s) = 2^{- n} D_{n} (s)$ . Using a finite Stieltjes-…

math.CO2026

All-Minors Matrix-Tree Theory for Superport Networks: Completed Quotient-Incidence Determinants and Conductance-Weighted Subdivision Extensions

Tony Newton

An electrical network can be summarized at its boundary by a response matrix: prescribed boundary voltages determine boundary currents. A superport network adds a constraint by gro…

Exact 3-Adic Periods of Symmetric Dellac Numbers and Their Polynomial Extensions

All-Minors Matrix-Tree Theory for Superport Networks: Completed Quotient-Incidence Determinants and Conductance-Weighted Subdivision Extensions

Exact $3$ -Adic Periods of Symmetric Dellac Numbers and Their Polynomial Extensions