Kevin Calderon

collaborators

3 papers

math.NT2026

Supercongruences for Domb numbers

Kevin Calderon

We prove two supercongruence statements proposed by Z.-W. Sun for Domb numbers. The first concerns the unweighted truncated sum $S_{p} = n = 0 \sum p - 1 D_{n}$ and is governed by the t…

math.NT2026

Ljunggren--Jacobsthal and Bailey-Type Congruences for Rectangular Gaussian Binomial Coefficients

Kevin Calderon

Motivated by the polynomial form of Kalinin's Gaussian analogue of Wolstenholme's theorem, following Kalinin, we study a two-dimensional factorial ratio over the Gaussian integers,…

math.NT2026

Weighted error-sum identities for periodic continued fractions and their generalizations

Kevin Calderon, Nikita Kalinin

For a purely $N$ -periodic continued fraction $ξ = [a_{0}, a_{1}, \dots, a_{N - 1}] = [a_{0}, a_{1}, \dots]$ , with $a_{k} = a_{k + N}$ for all $k \geq 0$ , and convergents $h_n/k_n=[a_0,a_1,\dots,a…