A matrix inequality for Möbius functions.
A note on Krawtchouk polynomials and Riordan arrays.
A note on polynomial cycles
A remark on the Chebotarev theorem about roots of unity.
A stability analysis for finite volume schemes applied to the Maxwell system
We present in this paper a stability study concerning finite volume schemes applied to the two-dimensional Maxwell system, using rectangular or triangular meshes. A stability condition is proved for the first-order upwind scheme on a rectangular mesh. Stability comparisons between the Yee scheme and the finite volume formulation are proposed. We also compare the stability domains obtained when considering the Maxwell system and the convection equation.
A trio of Bernoulli relations, their implications for the Ramanujan polynomials and the special values of the Riemann zeta function
We study the interplay between recurrences for zeta related functions at integer values, 'Minor Corner Lattice' Toeplitz determinants and integer composition based sums. Our investigations touch on functional identities due to Ramanujan and Grosswald, the transcendence of the zeta function at odd integer values, the Li Criterion for the Riemann Hypothesis and pseudo-characteristic polynomials for zeta related functions. We begin with a recent result for ζ(2s) and some seemingly new Bernoulli relations,...
Advanced determinant calculus.
An upper bound for the norm of a gcd-related matrix.
Average orders of multiplicative arithmetical functions of integer matrices