Hong, Siao; Hu, Shuangnian; Hong, Shaofang Multiple gcd-closed sets and determinants of matrices associated with arithmetic functions. (English) Zbl 1419.11051 Open Math. 14, 146-155 (2016). MSC: 11C20 11A05 15B36 PDFBibTeX XMLCite \textit{S. Hong} et al., Open Math. 14, 146--155 (2016; Zbl 1419.11051) Full Text: DOI
Mattila, Mika; Haukkanen, Pentti On the eigenvalues of certain number-theoretic matrices. (English) Zbl 1275.15012 East-West J. Math. 14, No. 2, 121-130 (2012). Reviewer: David Ssevviiri (Kampala) MSC: 15A42 15A23 15A60 11A25 11A05 11C20 PDFBibTeX XMLCite \textit{M. Mattila} and \textit{P. Haukkanen}, East-West J. Math. 14, No. 2, 121--130 (2012; Zbl 1275.15012) Full Text: arXiv
El-Kassar, A. N.; Habre, S. S.; Awad, Y. A. Greatest common divisor and least common multiple matrices on factor closed sets in a principal ideal domain. (English) Zbl 1239.11030 J. Math. Stat. 5, No. 4, 342-347 (2009). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 15B36 11A25 PDFBibTeX XMLCite \textit{A. N. El-Kassar} et al., J. Math. Stat. 5, No. 4, 342--347 (2009; Zbl 1239.11030) Full Text: Link
Altinişik, Ercan On the matrix norms of a GCD related matrix. (English) Zbl 1210.11036 Math. Inequal. Appl. 11, No. 4, 635-646 (2008). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 15B36 15A60 11A25 PDFBibTeX XMLCite \textit{E. Altinişik}, Math. Inequal. Appl. 11, No. 4, 635--646 (2008; Zbl 1210.11036) Full Text: DOI
Hong, Shaofang Divisibility properties of power GCD matrices and power LCM matrices. (English) Zbl 1137.11017 Linear Algebra Appl. 428, No. 4, 1001-1008 (2008). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 15B36 PDFBibTeX XMLCite \textit{S. Hong}, Linear Algebra Appl. 428, No. 4, 1001--1008 (2008; Zbl 1137.11017) Full Text: DOI
Haukkanen, Pentti On the maximum row and column sum norm of GCD and related matrices. (English) Zbl 1228.11154 JIPAM, J. Inequal. Pure Appl. Math. 8, No. 4, Paper No. 97, 7 p. (2007). MSC: 11N56 11C20 15B36 11A25 PDFBibTeX XMLCite \textit{P. Haukkanen}, JIPAM, J. Inequal. Pure Appl. Math. 8, No. 4, Paper No. 97, 7 p. (2007; Zbl 1228.11154) Full Text: EuDML EMIS
Yin, Youzhan; Hong, Shaofang; Zhou, Xingwang Notes on primitive singular numbers. (English) Zbl 1140.11015 J. Sichuan Univ., Nat. Sci. Ed. 43, No. 2, 281-284 (2006). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 15B36 11A25 PDFBibTeX XMLCite \textit{Y. Yin} et al., J. Sichuan Univ., Nat. Sci. Ed. 43, No. 2, 281--284 (2006; Zbl 1140.11015)
Hong, Shaofang Nonsingularity of matrices associated with classes of arithmetical functions on lcm-closed sets. (English) Zbl 1131.11018 Linear Algebra Appl. 416, No. 1, 124-134 (2006). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 15B36 11A25 PDFBibTeX XMLCite \textit{S. Hong}, Linear Algebra Appl. 416, No. 1, 124--134 (2006; Zbl 1131.11018) Full Text: DOI
Hong, Shaofang Nonsingularity of least common multiple matrices on gcd-closed sets. (English) Zbl 1080.11022 J. Number Theory 113, No. 1, 1-9 (2005). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 15A15 15B36 PDFBibTeX XMLCite \textit{S. Hong}, J. Number Theory 113, No. 1, 1--9 (2005; Zbl 1080.11022) Full Text: DOI
Nallı, Ayşe; Taşcı, Dursun The GCD-reciprocal LCM matrices on GCD-closed sets. (English) Zbl 1115.11017 Math. Comput. Appl. 9, No. 1, 101-106 (2004). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 15B36 PDFBibTeX XMLCite \textit{A. Nallı} and \textit{D. Taşcı}, Math. Comput. Appl. 9, No. 1, 101--106 (2004; Zbl 1115.11017) Full Text: DOI
Cao, Wei Remarks on a conjecture of Hong of power LCM matrices. (English) Zbl 1088.11018 J. Sichuan Univ., Nat. Sci. Ed. 41, No. 6, 1124-1131 (2004). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 15B36 PDFBibTeX XMLCite \textit{W. Cao}, J. Sichuan Univ., Nat. Sci. Ed. 41, No. 6, 1124--1131 (2004; Zbl 1088.11018)
Hong, Shaofang Notes on power LCM matrices. (English) Zbl 1047.11022 Acta Arith. 111, No. 2, 165-177 (2004). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 11A25 15B36 PDFBibTeX XMLCite \textit{S. Hong}, Acta Arith. 111, No. 2, 165--177 (2004; Zbl 1047.11022) Full Text: DOI Link
Öçal, Ahmet Ali On the Hadamard products of GCD and LCM matrices. (English) Zbl 1080.11024 Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 52, No. 2, 1-12 (2003). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 15B36 PDFBibTeX XMLCite \textit{A. A. Öçal}, Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 52, No. 2, 1--12 (2003; Zbl 1080.11024)
Hong, Shaofang Factorization of matrices associated with classes of arithmetical functions. (English) Zbl 1047.11023 Colloq. Math. 98, No. 1, 113-123 (2003). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 11A25 15B36 PDFBibTeX XMLCite \textit{S. Hong}, Colloq. Math. 98, No. 1, 113--123 (2003; Zbl 1047.11023) Full Text: DOI
Nalli, Ayse; Tasçi, Dursun On the GCUD-reciprocal LCUM matrices. (English) Zbl 1146.11308 JP J. Algebra Number Theory Appl. 3, No. 2, 245-257 (2003). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 11A05 15B36 11A25 PDFBibTeX XMLCite \textit{A. Nalli} and \textit{D. Tasçi}, JP J. Algebra Number Theory Appl. 3, No. 2, 245--257 (2003; Zbl 1146.11308)
Wang, Bo Ying Explicit expression of Smith’s determinant on poset. (Chinese. English summary) Zbl 1027.15006 Acta Math. Sin. 46, No. 1, 7-10 (2003). MSC: 15A15 06B35 15B36 15A09 PDFBibTeX XMLCite \textit{B. Y. Wang}, Acta Math. Sin. 46, No. 1, 7--10 (2003; Zbl 1027.15006)
Taşci, Dursun; Altinişik, Ercan On the almost Hilbert-Smith matrices. (English) Zbl 1008.11007 Fibonacci Q. 40, No. 4, 339-344 (2002). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 15B36 11A25 PDFBibTeX XMLCite \textit{D. Taşci} and \textit{E. Altinişik}, Fibonacci Q. 40, No. 4, 339--344 (2002; Zbl 1008.11007)
Hong, Shaofang Gcd-closed sets and determinants of matrices associated with arithmetical functions. (English) Zbl 0987.11014 Acta Arith. 101, No. 4, 321-332 (2002). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 11A25 15B36 PDFBibTeX XMLCite \textit{S. Hong}, Acta Arith. 101, No. 4, 321--332 (2002; Zbl 0987.11014) Full Text: DOI
Wang, Bo Ying Explicit expressions of Smith’s determinant on a poset. (English) Zbl 0984.15018 Acta Math. Sin., Engl. Ser. 17, No. 1, 161-168 (2001). Reviewer: Václav Burjan (Praha) MSC: 15B36 15A09 15A15 PDFBibTeX XMLCite \textit{B. Y. Wang}, Acta Math. Sin., Engl. Ser. 17, No. 1, 161--168 (2001; Zbl 0984.15018) Full Text: DOI
Haukkanen, Pentti; Sillanpää, Juha An inequality for the determinant of the GCD matrix and the GCUD matrix. (English) Zbl 0982.11011 J. Math. Res. Expo. 20, No. 2, 181-186 (2000). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11C20 11A05 15B36 PDFBibTeX XMLCite \textit{P. Haukkanen} and \textit{J. Sillanpää}, J. Math. Res. Expo. 20, No. 2, 181--186 (2000; Zbl 0982.11011)
Wang, Boying On the singularity of LCM matrices. (English) Zbl 0926.11013 SIAM J. Matrix Anal. Appl. 19, No. 4, 1040-1044 (1998). Reviewer: P.Haukkanen (Tampere) MSC: 11C20 15A09 15B36 PDFBibTeX XMLCite \textit{B. Wang}, SIAM J. Matrix Anal. Appl. 19, No. 4, 1040--1044 (1998; Zbl 0926.11013) Full Text: DOI
Wang, Boying; Hou, Yaoping Multi-extension of arithmetic functions and its applications. (English) Zbl 0921.11006 J. Math. Study 30, No. 3, 226-230 (1997). Reviewer: J.Spilker (Freiburg i.Br.) MSC: 11A25 11C20 PDFBibTeX XMLCite \textit{B. Wang} and \textit{Y. Hou}, J. Math. Study 30, No. 3, 226--230 (1997; Zbl 0921.11006)
Wang, Boying Some properties of LCM matrices. (English) Zbl 0926.11012 J. Beijing Norm. Univ., Nat. Sci. 33, No. 1, 49-53 (1997). Reviewer: P.Haukkanen (Tampere) MSC: 11C20 15B36 PDFBibTeX XMLCite \textit{B. Wang}, J. Beijing Norm. Univ., Nat. Sci. 33, No. 1, 49--53 (1997; Zbl 0926.11012)
Haukkanen, Pentti; Wang, Jun; Sillanpää, Juha On Smith’s determinant. (English) Zbl 0883.15002 Linear Algebra Appl. 258, 251-269 (1997). Reviewer: R.Covaci (Cluj-Napoca) MSC: 15A15 15B36 11C20 PDFBibTeX XMLCite \textit{P. Haukkanen} et al., Linear Algebra Appl. 258, 251--269 (1997; Zbl 0883.15002) Full Text: DOI
Hong, Shaofang LCM matrix on an \(r\)-fold GCD-closed set. (English) Zbl 0869.11021 J. Sichuan Univ., Nat. Sci. Ed. 33, No. 6, 650-657 (1996). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 11A05 11A25 15B36 PDFBibTeX XMLCite \textit{S. Hong}, J. Sichuan Univ., Nat. Sci. Ed. 33, No. 6, 650--657 (1996; Zbl 0869.11021)
Hong, Shaofang On Bourque-Ligh conjecture of LCM matrices. (English) Zbl 0869.11022 Adv. Math., Beijing 25, No. 6, 566-568 (1996). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 11A05 15B36 11A25 PDFBibTeX XMLCite \textit{S. Hong}, Adv. Math., Beijing 25, No. 6, 566--568 (1996; Zbl 0869.11022)
Bourque, Keith; Ligh, Steve Matrices associated with classes of arithmetical functions. (English) Zbl 0784.11002 J. Number Theory 45, No. 3, 367-376 (1993). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 11A25 15B36 15A15 PDFBibTeX XMLCite \textit{K. Bourque} and \textit{S. Ligh}, J. Number Theory 45, No. 3, 367--376 (1993; Zbl 0784.11002) Full Text: DOI
Schwab, Emil Daniel On the summatory function of an arithmetic function. (Romanian) Zbl 0714.11003 Gaz. Mat., Bucur. 94, No. 9, 321-325 (1989). Reviewer: J.Sándor MSC: 11A25 PDFBibTeX XMLCite \textit{E. D. Schwab}, Gaz. Mat., Bucur. 94, No. 9, 321--325 (1989; Zbl 0714.11003)
Nageswara Rao, K. A generalization of Smith’s determinant. (English) Zbl 0598.10017 Math. Stud. 43(1982), 354-356 (1975). Reviewer: O.Ninnemann MSC: 11A25 PDFBibTeX XMLCite \textit{K. Nageswara Rao}, Math. Stud. 43, 354--356 (1982; Zbl 0598.10017)