Another Family of q-Congruences Modulo the Square of a Cyclotomic Polynomial
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DOI: 10.1007/s00025-021-01423-4
Abstract: Using Bailey’s $$_{10}\phi _9$$ 10 ϕ 9 transformation formula, we prove a family of q -congruences modulo the square of a cyclotomic polynomial, which were previously observed by the author and Zudilin (J Math Anal… read more here.
Keywords: modulo square; cyclotomic polynomial; square cyclotomic; family congruences ... See more keywords
Note on the Cyclotomic Polynomial Topologically
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DOI: 10.1080/10586458.2019.1680464
Abstract: AbstractCoefficients of the cyclotomic polynomial can be interpreted topologically, as the torsion in the homology of a certain simplicial complex associated with the degree of the cyclotomic polyn... read more here.
Keywords: cyclotomic polynomial; polynomial topologically; note cyclotomic;
On the condition number of the Vandermonde matrix of the nth cyclotomic polynomial
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DOI: 10.1515/jmc-2020-0009
Abstract: Abstract Recently, Blanco-Chacón proved the equivalence between the Ring Learning With Errors and Polynomial Learning With Errors problems for some families of cyclotomic number fields by giving some upper bounds for the condition number Cond(Vn)… read more here.
Keywords: cyclotomic polynomial; number; nth cyclotomic; condition number ... See more keywords
On the Simplicial Complexes Associated to the Cyclotomic Polynomial
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DOI: 10.46793/kgjmat2302.309k
Abstract: Musiker and Reiner in [9] studied coefficients of cyclotomic polynomial in terms of topology of associated simplicial complexes. They determined homotopy type of associated complexes for all cyclotomic polynomials, except for cyclotomic polynomials whose degree… read more here.
Keywords: topology; cyclotomic polynomial; complexes associated; simplicial complexes ... See more keywords