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math.NT2025
On efficient approximation of quadratic irrationals, signed Chebyshev polynomials and Householder's method
Peter H. van der Kamp, Anthony Overmars, Marcel Jackson +1
We provide efficient algorithms to compute convergents of quadratic irrationals. We show that for square roots, in settings where Galois' refinement of Lagrange's theorem holds, ce…
math.GR2025★ 1 cited
The finite basis problem for additively idempotent semirings that relate to S_7
Zidong Gao, Marcel Jackson, Miaomiao Ren +1
The -element additively idempotent semiring is a nonnitely based algebra of the smallest possible order. In this paper we study the nite basis problem for some additively…