On a certain arithmetical determinant

DOI10.1007/s10474-016-0664-4zbMath1399.11082OpenAlexW2536646972MaRDI QIDQ1701376

Zong Bing Lin, Shao-Fang Hong, Shuangnian Hu

Publication date: 22 February 2018

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-016-0664-4

zbMATH Keywords

arithmetic progressionSmith determinantsquarefree integerfactorclosed set

Mathematics Subject Classification ID

Arithmetic progressions (11B25) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05) Matrices, determinants in number theory (11C20)

Related Items (7)

Divisibility among determinants of power matrices associated with integer-valued arithmetic functions ⋮ On a certain determinant for a U.F.D. ⋮ Divisibility among power matrices associated with classes of arithmetic functions ⋮ On the divisibility among power GCD and power LCM matrices on gcd-closed sets ⋮ MORE ON A CERTAIN ARITHMETICAL DETERMINANT ⋮ GCD-closed sets and divisibility of Smith matrices ⋮ ON THE DIVISIBILITY AMONG POWER LCM MATRICES ON GCD-CLOSED SETS

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