Hyperdeterminants associated with multiple even functions

DOI10.1007/s11139-013-9548-1zbMath1368.11024OpenAlexW2076966568MaRDI QIDQ457017

Bangyan Wang, Mao Li, Shao-Fang Hong

Publication date: 26 September 2014

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-013-9548-1

zbMATH Keywords

hyperdeterminantgcd-closed setmultiple even functionRamanujan's sum

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Matrices of integers (15B36) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05) Matrices, determinants in number theory (11C20)

Related Items (7)

On a certain determinant for a U.F.D. ⋮ Hyperdeterminants on meet-semilattices ⋮ Divisibility among power matrices associated with arithmetic functions on finitely many quasi-coprime divisor chains ⋮ Multiple gcd-closed sets and determinants of matrices associated with arithmetic functions ⋮ MORE ON A CERTAIN ARITHMETICAL DETERMINANT ⋮ On a certain arithmetical determinant ⋮ Further results on generalized LCM matrices

Cites Work

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• Arithmetical properties of multiple Ramanujan sums
• Higher-dimensional gcd matrices
• Matrices associated with classes of arithmetical functions
• Arithmetical properties of generalized Ramanujan sums
• Gcd-closed sets and determinants of matrices associated with arithmetical functions
• A CLASS OF ARITHMETICAL FUNCTIONS
• A Generalization of Smith's Determinant
• Another generalisation of smith's determinant
• A Class of Arithmetical Functions in Several Variables With Applications to Congruences

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