Edit Profile (opens in new tab) Hong, Shaofang Compute Distance To: Compute Author ID: hong.shaofang Published as: Hong, Shaofang; Hong, S. F.; Hong, Shao-Fang; Hong, S. more...less External Links: dblp Documents Indexed: 116 Publications since 1996 Co-Authors: 54 Co-Authors with 88 Joint Publications 1,526 Co-Co-Authors all top 5 Co-Authors 28 single-authored 12 Zhao, Jianrong 10 Qian, Guoyou 7 Sun, Qi 6 Feng, Yulu 6 Zhao, Wei 5 Hu, Shuangnian 5 Qiu, Min 5 Tan, Qianrong 5 Zhu, Chaoxi 4 Wang, Chunlin 4 Wu, Rongjun 4 Xu, Yongchao 4 Zhao, Junyong 4 Zhou, Xingwang 3 Chen, Long 3 Jiang, Xiao 3 Qin, Xiao’er 3 Xu, Xiaofan 3 Yang, Liping 3 Zhang, Mou-Cheng 2 Cao, Wei 2 Cheng, Kaimin 2 Feng, Weiduan 2 Li, Mao 2 Lin, Zongbing 2 Loewy, Raphael 2 Luo, Yuanyuan 2 Ren, Wenli 2 Shum, Kar-Ping 2 Wang, Bangyan 2 Yang, Yujuan 2 Yin, Qiuyu 2 Yin, Youzhan 1 Adelberg, Arnold M. 1 Ao, Lingfeng 1 Enoch Lee, K. S. 1 Fei, Shuanglin 1 Han, Qing 1 Hong, Siao 1 Kan, Haibing 1 Kominers, Scott Duke 1 Li, Qilong 1 Liao, Qunying 1 Liu, Xing 1 Liu, Xingjiang 1 Ren, Debin 1 Wang, Shaofang 1 Wang, Tingting 1 Yang, Yong 1 Yuan, Pingzhi 1 Zeng, Qi 1 Zhong, Yuanming 1 Zhou, Limengnan 1 Zhu, Guangyan all top 5 Serials 10 Journal of Sichuan University. Natural Science Edition 9 Journal of Number Theory 8 AIMS Mathematics 5 Proceedings of the American Mathematical Society 5 Acta Mathematica Hungarica 5 Linear Algebra and its Applications 4 Bulletin of the Australian Mathematical Society 4 Acta Arithmetica 4 Southeast Asian Bulletin of Mathematics 4 Algebra Colloquium 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 International Journal of Number Theory 3 Discrete Mathematics 3 Linear and Multilinear Algebra 3 Forum Mathematicum 3 Finite Fields and their Applications 3 Asian-European Journal of Mathematics 2 Czechoslovak Mathematical Journal 2 Glasgow Mathematical Journal 2 Journal of Algebra 2 Semigroup Forum 2 Chinese Annals of Mathematics. Series B 2 Advances in Mathematics 2 Northeastern Mathematical Journal 2 The Ramanujan Journal 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Colloquium Mathematicum 1 Journal of Combinatorial Theory. Series A 1 Mathematica Slovaca 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Publicationes Mathematicae Debrecen 1 Chinese Annals of Mathematics. Series A 1 Chinese Science Bulletin 1 Applied Mathematics. Series A (Chinese Edition) 1 Scientiae Mathematicae 1 Acta Mathematica Sinica. English Series 1 Journal of the Australian Mathematical Society 1 Journal of Systems Science and Complexity 1 Cryptography and Communications 1 Science China. Mathematics 1 Scientia Sinica. Mathematica 1 Open Mathematics all top 5 Fields 104 Number theory (11-XX) 43 Linear and multilinear algebra; matrix theory (15-XX) 9 Information and communication theory, circuits (94-XX) 5 Combinatorics (05-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Algebraic geometry (14-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 82 Publications have been cited 806 times in 186 Documents Cited by ▼ Year ▼ Asymptotic behavior of eigenvalues of greatest common divisor matrices. Zbl 1083.11021Hong, Shaofang; Loewy, Raphael 46 2004 Gcd-closed sets and determinants of matrices associated with arithmetical functions. Zbl 0987.11014Hong, Shaofang 43 2002 On the Bourque-Ligh conjecture of least common multiple matrices. Zbl 1015.11007Hong, Shaofang 39 1999 Nonsingularity of matrices associated with classes of arithmetical functions. Zbl 1064.11024Hong, Shaofang 31 2004 Asymptotic behavior of eigenvalues of reciprocal power LCM matrices. Zbl 1186.11011Hong, Shaofang; Enoch Lee, K. S. 30 2008 Factorization of matrices associated with classes of arithmetical functions. Zbl 1047.11023Hong, Shaofang 30 2003 On the factorization of LCM matrices on gcd-closed sets. Zbl 0995.15006Hong, Shaofang 27 2002 Nonsingularity of least common multiple matrices on gcd-closed sets. Zbl 1080.11022Hong, Shaofang 25 2005 Asymptotic behaviour of the smallest eigenvalue of matrices associated with completely even functions. Zbl 1273.11052Hong, Shaofang; Loewy, Raphael 25 2011 Notes on power LCM matrices. Zbl 1047.11022Hong, Shaofang 23 2004 Nonsingularity of matrices associated with classes of arithmetical functions on lcm-closed sets. Zbl 1131.11018Hong, Shaofang 23 2006 Lower bounds for the least common multiple of finite arithmetic progressions. Zbl 1156.11004Hong, Shaofang; Feng, Weiduan 19 2006 Divisibility properties of Smith matrices. Zbl 1146.11017Hong, Shaofang; Zhao, Jianrong; Yin, Youzhan 19 2008 Divisibility properties of power GCD matrices and power LCM matrices. Zbl 1137.11017Hong, Shaofang 18 2008 Divisibility properties of power LCM matrices by power GCD matrices on gcd-closed sets. Zbl 1263.11042Feng, Weiduan; Hong, Shaofang; Zhao, Jianrong 16 2009 On nonsingular power LCM matrices. Zbl 1140.11319Hong, Shaofang; Shum, K. P.; Sun, Qi 15 2006 Determinants of matrices associated with incidence functions on posets. Zbl 1080.11023Hong, Shaofang; Sun, Qi 14 2004 On the periodicity of an arithmetical function. Zbl 1213.11014Hong, Shaofang; Yang, Yujuan 14 2008 On the divisibility of power LCM matrices by power GCD matrices. Zbl 1174.11031Zhao, Jianrong; Hong, Shaofang; Liao, Qunying; Shum, K. P. 14 2007 Bounds for determinants of matrices associated with classes of arithmetical functions. Zbl 0937.15004Hong, Shaofang 13 1998 Newton polygons of \(L\) functions associated with exponential sums of polynomials of degree four over finite fields. Zbl 0987.11075Hong, Shaofang 13 2001 The least common multiple of a sequence of products of linear polynomials. Zbl 1265.11093Hong, Shaofang; Qian, Guoyou; Tan, Qianrong 13 2012 Newton polygons for \(L\)-functions of exponential sums of polynomials of degree six over finite fields. Zbl 1067.11047Hong, Shaofang 11 2002 The least common multiple of consecutive arithmetic progression terms. Zbl 1304.11008Hong, Shaofang; Qian, Guoyou 11 2011 Uniform lower bound for the least common multiple of a polynomial sequence. (Une borne inférieure uniforme pour le plus petit commun multiple d’une suite polynomiale.) Zbl 1280.11064Hong, Shaofang; Luo, Yuanyuan; Qian, Guoyou; Wang, Chunlin 11 2013 The 2-adic valuations of Stirling numbers of the second kind. Zbl 1252.11025Hong, Shaofang; Zhao, Jianrong; Zhao, Wei 10 2012 Asymptotic behavior of largest eigenvalue of matrices associated with completely even functions (mod \(r\)). Zbl 1172.11008Hong, Shaofang 10 2008 Power GCD matrices for a UFD. Zbl 1247.11033Hong, Shaofang; Zhou, Xingwang; Zhao, Jianrong 10 2009 LCM matrix on an \(r\)-fold GCD-closed set. Zbl 0869.11021Hong, Shaofang 9 1996 Further improvements of lower bounds for the least common multiples of arithmetic progressions. Zbl 1196.11007Hong, Shaofang; Kominers, Scott Duke 9 2010 Infinite divisibility of Smith matrices. Zbl 1163.11023Hong, Shaofang 8 2008 On LCM matrices on GCD-closed sets. Zbl 0936.15011Hong, Shaofang 8 1998 Divisibility by 2 of Stirling numbers of the second kind and their differences. Zbl 1316.11018Zhao, Jianrong; Hong, Shaofang; Zhao, Wei 8 2014 Improvements of lower bounds for the least common multiple of finite arithmetic progressions. Zbl 1157.11001Hong, Shaofang; Yang, Yujuan 8 2008 The elementary symmetric functions of reciprocals of elements of arithmetic progressions. Zbl 1320.11008Hong, Shaofang; Wang, Chunlin 7 2014 The number of rational points of a family of hypersurfaces over finite fields. Zbl 1375.11075Hu, Shuangnian; Hong, Shaofang; Zhao, Wei 7 2015 The least common multiple of consecutive terms in a quadratic progression. Zbl 1290.11015Qian, Guoyou; Tan, Qianrong; Hong, Shaofang 7 2012 On deep holes of standard Reed-Solomon codes. Zbl 1262.94026Wu, Rongjun; Hong, Shaofang 7 2012 Necessary conditions for reversed Dickson polynomials of the second kind to be permutational. Zbl 1402.11146Hong, Shaofang; Qin, Xiaoer; Zhao, Wei 7 2016 New lower bounds for the least common multiple of polynomial sequences. Zbl 1421.11001Hong, Shaofang; Qian, Guoyou 6 2017 Hyperdeterminants associated with multiple even functions. Zbl 1368.11024Hong, Shaofang; Li, Mao; Wang, Bangyan 6 2014 On the integrality of the elementary symmetric functions of \(1, 1/3,\dots, 1/(2n - 1)\). Zbl 1363.11041Wang, Chunlin; Hong, Shaofang 6 2015 Bounds of divided universal Bernoulli numbers and universal Kummer congruences. Zbl 1126.11001Adelberg, Arnold; Hong, Shaofang; Ren, Wenli 6 2008 Divisibility of determinants of least common multiple matrices on GCD-closed sets. Zbl 1160.11316Hong, Shaofang 6 2003 Lower bounds for determinants of matrices associated with classes of arithmetical functions. Zbl 0932.11018Hong, Shaofang 6 1999 On Bourque-Ligh conjecture of LCM matrices. Zbl 0869.11022Hong, Shaofang 6 1996 The least common multiple of consecutive quadratic progression terms. Zbl 1397.11062Hong, Shaofang; Qian, Guoyou 6 2015 The elementary symmetric functions of a reciprocal polynomial sequence. (Les fonctions symétriques élémentaires des suites d’inverses de valeurs de polynômes.) Zbl 1286.11170Luo, Yuanyuan; Hong, Shaofang; Qian, Guoyou; Wang, Chunlin 6 2014 Constructing permutation polynomials over finite fields. Zbl 1301.11076Qin, Xiaoer; Hong, Shaofang 6 2014 2-adic valuations of Stirling numbers of the first kind. Zbl 1442.11047Qiu, Min; Hong, Shaofang 6 2019 On a certain arithmetical determinant. Zbl 1399.11082Hong, S.; Hu, S.; Lin, Zong Bing 5 2016 Multiple divisor chains and determinants of matrices associated with completely even functions \(\pmod r\). Zbl 1307.11035Hu, Shuangnian; Hong, Shaofang 5 2014 New results on permutation polynomials over finite fields. Zbl 1365.11124Qin, Xiaoer; Qian, Guoyou; Hong, Shaofang 5 2015 Asymptotic behavior of the least common multiple of consecutive arithmetic progression terms. Zbl 1290.11014Qian, Guoyou; Hong, Shaofang 5 2013 The universal Kummer congruences. Zbl 1355.11017Hong, Shaofang; Zhao, Jianrong; Zhao, Wei 5 2013 A generalization of a theorem of Nagell. Zbl 1438.11124Feng, Y. L.; Hong, S. F.; Jiang, X.; Yin, Q. Y. 4 2019 The 2-adic valuations of differences of Stirling numbers of the second kind. Zbl 1365.11021Zhao, Wei; Zhao, Jianrong; Hong, Shaofang 4 2015 Notes on Glaisher’s congruences. Zbl 0966.11005Hong, Shaofang 4 2000 \(L\)-functions of twisted diagonal exponential sums over finite fields. Zbl 1132.14021Hong, Shaofang 4 2007 There does not exist an odd singular number of the form \(p^l qr\). Zbl 1190.11019Hong, Shaofang; Wang, Shaofang 4 2008 New lower bounds for the least common multiples of arithmetic progressions. Zbl 1292.11006Wu, Rongjun; Tan, Qianrong; Hong, Shaofang 4 2013 On the \(p\)-adic properties of Stirling numbers of the first kind. Zbl 1463.11076Hong, S. F.; Qiu, M. 4 2020 On deep holes of generalized Reed-Solomon codes. Zbl 1469.94134Hong, Shaofang; Wu, Rongjun 3 2016 Determinants of matrices associated with arithmetic functions on finitely many quasi-coprime divisor chains. Zbl 1338.15063Hu, Shuangnian; Hong, Shaofang; Zhao, Jianrong 3 2015 Multiple gcd-closed sets and determinants of matrices associated with arithmetic functions. Zbl 1419.11051Hong, Siao; Hu, Shuangnian; Hong, Shaofang 2 2016 Squares in \((2^{2} - 1)\dots (n^{2} - 1)\) and \(p\)-adic valuation. Zbl 1213.11081Hong, Shaofang; Liu, Xingjiang 2 2010 The lower bound of the determinant of matrices associated with classes of arithmetical functions. Zbl 0965.11008Hong, Shaofang 2 2000 Nonlinearity of quartic rotation symmetric Boolean functions. Zbl 1299.06032Yang, Liping; Wu, Rongjun; Hong, Shaofang 2 2013 Divisibility among determinants of power matrices associated with integer-valued arithmetic functions. Zbl 1489.15014Chen, Long; Hong, Shaofang 2 2020 Multiple reciprocal sums and multiple reciprocal star sums of polynomials are almost never integers. Zbl 1458.11135Yin, Qiuyu; Hong, Shaofang; Yang, Liping; Qiu, Min 1 2019 The first and second moments of reversed Dickson polynomials over finite fields. Zbl 1430.11156Cheng, Kaimin; Hong, Shaofang 1 2018 A note on the Tu-Deng conjecture. Zbl 1345.94053Cheng, Kaimin; Hong, Shaofang; Zhong, Yuanming 1 2015 A new class of Aurifeuillian factorizations of \(M^n\pm 1\). Zbl 0959.11002Sun, Qi; Ren, Debin; Hong, Shaofang; Yuan, Pingzhi; Han, Qing 1 1999 Aurifeuillian factorizations of \(q^q\pm 1\) \((q=p^n)\). Zbl 0915.11007Sun, Qi; Hong, Shaofang 1 1998 Arithmetic properties of a curious arithmetic function. Zbl 1276.11012Wang, Tingting; Tan, Qianrong; Hong, Shaofang 1 2012 On the periodicity of a class of arithmetic functions associated with multiplicative functions. Zbl 1275.11012Qian, Guoyou; Tan, Qianrong; Hong, Shaofang 1 2013 A generalization of Wilson’s theorem. Zbl 1126.11002Ren, Wenli; Hong, Shaofang; Zhou, Xingwang 1 2006 Hyperdeterminants on meet-semilattices. Zbl 1368.11025Wang, Bangyan; Hong, Shaofang; Li, Mao 1 2016 GCD-closed sets and divisibility of Smith matrices. Zbl 1484.11095Zhao, Jianrong; Chen, Long; Hong, Shaofang 1 2022 On deep holes of primitive projective Reed-Solomon codes. Zbl 1499.94073Xu, Xiaofan; Hong, Shaofang; Xu, Yongchao 1 2018 Sums of polynomial-type exceptional units modulo \(n\). Zbl 1500.11013Zhao, Junyong; Hong, Shaofang; Zhu, Chaoxi 1 2022 On the divisibility of matrices associated with multiplicative functions. Zbl 1499.11159Chen, Long; Feng, Yulu; Hong, Shaofang; Qiu, Min 1 2022 GCD-closed sets and divisibility of Smith matrices. Zbl 1484.11095Zhao, Jianrong; Chen, Long; Hong, Shaofang 1 2022 Sums of polynomial-type exceptional units modulo \(n\). Zbl 1500.11013Zhao, Junyong; Hong, Shaofang; Zhu, Chaoxi 1 2022 On the divisibility of matrices associated with multiplicative functions. Zbl 1499.11159Chen, Long; Feng, Yulu; Hong, Shaofang; Qiu, Min 1 2022 On the \(p\)-adic properties of Stirling numbers of the first kind. Zbl 1463.11076Hong, S. F.; Qiu, M. 4 2020 Divisibility among determinants of power matrices associated with integer-valued arithmetic functions. Zbl 1489.15014Chen, Long; Hong, Shaofang 2 2020 2-adic valuations of Stirling numbers of the first kind. Zbl 1442.11047Qiu, Min; Hong, Shaofang 6 2019 A generalization of a theorem of Nagell. Zbl 1438.11124Feng, Y. L.; Hong, S. F.; Jiang, X.; Yin, Q. Y. 4 2019 Multiple reciprocal sums and multiple reciprocal star sums of polynomials are almost never integers. Zbl 1458.11135Yin, Qiuyu; Hong, Shaofang; Yang, Liping; Qiu, Min 1 2019 The first and second moments of reversed Dickson polynomials over finite fields. Zbl 1430.11156Cheng, Kaimin; Hong, Shaofang 1 2018 On deep holes of primitive projective Reed-Solomon codes. Zbl 1499.94073Xu, Xiaofan; Hong, Shaofang; Xu, Yongchao 1 2018 New lower bounds for the least common multiple of polynomial sequences. Zbl 1421.11001Hong, Shaofang; Qian, Guoyou 6 2017 Necessary conditions for reversed Dickson polynomials of the second kind to be permutational. Zbl 1402.11146Hong, Shaofang; Qin, Xiaoer; Zhao, Wei 7 2016 On a certain arithmetical determinant. Zbl 1399.11082Hong, S.; Hu, S.; Lin, Zong Bing 5 2016 On deep holes of generalized Reed-Solomon codes. Zbl 1469.94134Hong, Shaofang; Wu, Rongjun 3 2016 Multiple gcd-closed sets and determinants of matrices associated with arithmetic functions. Zbl 1419.11051Hong, Siao; Hu, Shuangnian; Hong, Shaofang 2 2016 Hyperdeterminants on meet-semilattices. Zbl 1368.11025Wang, Bangyan; Hong, Shaofang; Li, Mao 1 2016 The number of rational points of a family of hypersurfaces over finite fields. Zbl 1375.11075Hu, Shuangnian; Hong, Shaofang; Zhao, Wei 7 2015 On the integrality of the elementary symmetric functions of \(1, 1/3,\dots, 1/(2n - 1)\). Zbl 1363.11041Wang, Chunlin; Hong, Shaofang 6 2015 The least common multiple of consecutive quadratic progression terms. Zbl 1397.11062Hong, Shaofang; Qian, Guoyou 6 2015 New results on permutation polynomials over finite fields. Zbl 1365.11124Qin, Xiaoer; Qian, Guoyou; Hong, Shaofang 5 2015 The 2-adic valuations of differences of Stirling numbers of the second kind. Zbl 1365.11021Zhao, Wei; Zhao, Jianrong; Hong, Shaofang 4 2015 Determinants of matrices associated with arithmetic functions on finitely many quasi-coprime divisor chains. Zbl 1338.15063Hu, Shuangnian; Hong, Shaofang; Zhao, Jianrong 3 2015 A note on the Tu-Deng conjecture. Zbl 1345.94053Cheng, Kaimin; Hong, Shaofang; Zhong, Yuanming 1 2015 Divisibility by 2 of Stirling numbers of the second kind and their differences. Zbl 1316.11018Zhao, Jianrong; Hong, Shaofang; Zhao, Wei 8 2014 The elementary symmetric functions of reciprocals of elements of arithmetic progressions. Zbl 1320.11008Hong, Shaofang; Wang, Chunlin 7 2014 Hyperdeterminants associated with multiple even functions. Zbl 1368.11024Hong, Shaofang; Li, Mao; Wang, Bangyan 6 2014 The elementary symmetric functions of a reciprocal polynomial sequence. (Les fonctions symétriques élémentaires des suites d’inverses de valeurs de polynômes.) Zbl 1286.11170Luo, Yuanyuan; Hong, Shaofang; Qian, Guoyou; Wang, Chunlin 6 2014 Constructing permutation polynomials over finite fields. Zbl 1301.11076Qin, Xiaoer; Hong, Shaofang 6 2014 Multiple divisor chains and determinants of matrices associated with completely even functions \(\pmod r\). Zbl 1307.11035Hu, Shuangnian; Hong, Shaofang 5 2014 Uniform lower bound for the least common multiple of a polynomial sequence. (Une borne inférieure uniforme pour le plus petit commun multiple d’une suite polynomiale.) Zbl 1280.11064Hong, Shaofang; Luo, Yuanyuan; Qian, Guoyou; Wang, Chunlin 11 2013 Asymptotic behavior of the least common multiple of consecutive arithmetic progression terms. Zbl 1290.11014Qian, Guoyou; Hong, Shaofang 5 2013 The universal Kummer congruences. Zbl 1355.11017Hong, Shaofang; Zhao, Jianrong; Zhao, Wei 5 2013 New lower bounds for the least common multiples of arithmetic progressions. Zbl 1292.11006Wu, Rongjun; Tan, Qianrong; Hong, Shaofang 4 2013 Nonlinearity of quartic rotation symmetric Boolean functions. Zbl 1299.06032Yang, Liping; Wu, Rongjun; Hong, Shaofang 2 2013 On the periodicity of a class of arithmetic functions associated with multiplicative functions. Zbl 1275.11012Qian, Guoyou; Tan, Qianrong; Hong, Shaofang 1 2013 The least common multiple of a sequence of products of linear polynomials. Zbl 1265.11093Hong, Shaofang; Qian, Guoyou; Tan, Qianrong 13 2012 The 2-adic valuations of Stirling numbers of the second kind. Zbl 1252.11025Hong, Shaofang; Zhao, Jianrong; Zhao, Wei 10 2012 The least common multiple of consecutive terms in a quadratic progression. Zbl 1290.11015Qian, Guoyou; Tan, Qianrong; Hong, Shaofang 7 2012 On deep holes of standard Reed-Solomon codes. Zbl 1262.94026Wu, Rongjun; Hong, Shaofang 7 2012 Arithmetic properties of a curious arithmetic function. Zbl 1276.11012Wang, Tingting; Tan, Qianrong; Hong, Shaofang 1 2012 Asymptotic behaviour of the smallest eigenvalue of matrices associated with completely even functions. Zbl 1273.11052Hong, Shaofang; Loewy, Raphael 25 2011 The least common multiple of consecutive arithmetic progression terms. Zbl 1304.11008Hong, Shaofang; Qian, Guoyou 11 2011 Further improvements of lower bounds for the least common multiples of arithmetic progressions. Zbl 1196.11007Hong, Shaofang; Kominers, Scott Duke 9 2010 Squares in \((2^{2} - 1)\dots (n^{2} - 1)\) and \(p\)-adic valuation. Zbl 1213.11081Hong, Shaofang; Liu, Xingjiang 2 2010 Divisibility properties of power LCM matrices by power GCD matrices on gcd-closed sets. Zbl 1263.11042Feng, Weiduan; Hong, Shaofang; Zhao, Jianrong 16 2009 Power GCD matrices for a UFD. Zbl 1247.11033Hong, Shaofang; Zhou, Xingwang; Zhao, Jianrong 10 2009 Asymptotic behavior of eigenvalues of reciprocal power LCM matrices. Zbl 1186.11011Hong, Shaofang; Enoch Lee, K. S. 30 2008 Divisibility properties of Smith matrices. Zbl 1146.11017Hong, Shaofang; Zhao, Jianrong; Yin, Youzhan 19 2008 Divisibility properties of power GCD matrices and power LCM matrices. Zbl 1137.11017Hong, Shaofang 18 2008 On the periodicity of an arithmetical function. Zbl 1213.11014Hong, Shaofang; Yang, Yujuan 14 2008 Asymptotic behavior of largest eigenvalue of matrices associated with completely even functions (mod \(r\)). Zbl 1172.11008Hong, Shaofang 10 2008 Infinite divisibility of Smith matrices. Zbl 1163.11023Hong, Shaofang 8 2008 Improvements of lower bounds for the least common multiple of finite arithmetic progressions. Zbl 1157.11001Hong, Shaofang; Yang, Yujuan 8 2008 Bounds of divided universal Bernoulli numbers and universal Kummer congruences. Zbl 1126.11001Adelberg, Arnold; Hong, Shaofang; Ren, Wenli 6 2008 There does not exist an odd singular number of the form \(p^l qr\). Zbl 1190.11019Hong, Shaofang; Wang, Shaofang 4 2008 On the divisibility of power LCM matrices by power GCD matrices. Zbl 1174.11031Zhao, Jianrong; Hong, Shaofang; Liao, Qunying; Shum, K. P. 14 2007 \(L\)-functions of twisted diagonal exponential sums over finite fields. Zbl 1132.14021Hong, Shaofang 4 2007 Nonsingularity of matrices associated with classes of arithmetical functions on lcm-closed sets. Zbl 1131.11018Hong, Shaofang 23 2006 Lower bounds for the least common multiple of finite arithmetic progressions. Zbl 1156.11004Hong, Shaofang; Feng, Weiduan 19 2006 On nonsingular power LCM matrices. Zbl 1140.11319Hong, Shaofang; Shum, K. P.; Sun, Qi 15 2006 A generalization of Wilson’s theorem. Zbl 1126.11002Ren, Wenli; Hong, Shaofang; Zhou, Xingwang 1 2006 Nonsingularity of least common multiple matrices on gcd-closed sets. Zbl 1080.11022Hong, Shaofang 25 2005 Asymptotic behavior of eigenvalues of greatest common divisor matrices. Zbl 1083.11021Hong, Shaofang; Loewy, Raphael 46 2004 Nonsingularity of matrices associated with classes of arithmetical functions. Zbl 1064.11024Hong, Shaofang 31 2004 Notes on power LCM matrices. Zbl 1047.11022Hong, Shaofang 23 2004 Determinants of matrices associated with incidence functions on posets. Zbl 1080.11023Hong, Shaofang; Sun, Qi 14 2004 Factorization of matrices associated with classes of arithmetical functions. Zbl 1047.11023Hong, Shaofang 30 2003 Divisibility of determinants of least common multiple matrices on GCD-closed sets. Zbl 1160.11316Hong, Shaofang 6 2003 Gcd-closed sets and determinants of matrices associated with arithmetical functions. Zbl 0987.11014Hong, Shaofang 43 2002 On the factorization of LCM matrices on gcd-closed sets. Zbl 0995.15006Hong, Shaofang 27 2002 Newton polygons for \(L\)-functions of exponential sums of polynomials of degree six over finite fields. Zbl 1067.11047Hong, Shaofang 11 2002 Newton polygons of \(L\) functions associated with exponential sums of polynomials of degree four over finite fields. Zbl 0987.11075Hong, Shaofang 13 2001 Notes on Glaisher’s congruences. Zbl 0966.11005Hong, Shaofang 4 2000 The lower bound of the determinant of matrices associated with classes of arithmetical functions. Zbl 0965.11008Hong, Shaofang 2 2000 On the Bourque-Ligh conjecture of least common multiple matrices. Zbl 1015.11007Hong, Shaofang 39 1999 Lower bounds for determinants of matrices associated with classes of arithmetical functions. Zbl 0932.11018Hong, Shaofang 6 1999 A new class of Aurifeuillian factorizations of \(M^n\pm 1\). Zbl 0959.11002Sun, Qi; Ren, Debin; Hong, Shaofang; Yuan, Pingzhi; Han, Qing 1 1999 Bounds for determinants of matrices associated with classes of arithmetical functions. Zbl 0937.15004Hong, Shaofang 13 1998 On LCM matrices on GCD-closed sets. Zbl 0936.15011Hong, Shaofang 8 1998 Aurifeuillian factorizations of \(q^q\pm 1\) \((q=p^n)\). Zbl 0915.11007Sun, Qi; Hong, Shaofang 1 1998 LCM matrix on an \(r\)-fold GCD-closed set. Zbl 0869.11021Hong, Shaofang 9 1996 On Bourque-Ligh conjecture of LCM matrices. Zbl 0869.11022Hong, Shaofang 6 1996 all cited Publications top 5 cited Publications all top 5 Cited by 175 Authors 58 Hong, Shaofang 18 Haukkanen, Pentti 11 Qian, Guoyou 11 Tan, Qianrong 10 Zhao, Jianrong 7 Li, Mao 7 Lin, Zongbing 7 Mattila, Mika 6 Altinisik, Ercan 6 Hu, Shuangnian 6 Korkee, Ismo 5 Feng, Yulu 5 Ilmonen, Pauliina 5 Qiu, Min 5 Zhao, Junyong 4 Adelberg, Arnold M. 4 Cao, Wei 4 Chen, Long 4 Cheng, Kaimin 4 Hong, Siao 4 Zhao, Wei 3 Bousla, Sid Ali 3 Farhi, Bakir 3 Jiang, Xiao 3 Qin, Xiao’er 3 Sanna, Carlo 3 Wan, Daqing 3 Xu, Yongchao 3 Zhu, Chaoxi 3 Zhu, Guangyan 2 Castro, Francis Noel 2 Cegielski, Patrick 2 Feng, Weiduan 2 Fernando, Neranga 2 Grigorieff, Serge 2 Guessarian, Irène 2 Kaarnioja, Vesa 2 Loewy, Raphael 2 Mäntysalo, Jori 2 Medina, Luis A. 2 Merikoski, Jorma Kaarlo 2 Niu, ChuanZe 2 Ramírez, José Luis 2 Shum, Kar-Ping 2 Sun, Qi 2 Tempesta, Piergiulio 2 Wang, Bangyan 2 Wu, Rongjun 2 Xu, Xiaofan 2 Yang, Liping 2 Yang, Yujuan 2 Zhu, Hui June 1 Adhikari, Sukumar Das 1 Awad, Y. A. 1 Balasubramanian, Ramachandran 1 Bartoli, Daniele 1 Blache, Régis 1 Büyükköse, Şerife 1 Caicedo, Jhon Bladimir 1 Chen, Yuan 1 Chern, Shane 1 Chiu, Sunben 1 Cho, Ilwoo 1 Davydov, Alexander A. 1 Demirbüken, Murat 1 Diao, Tianbo 1 Eliahou, Shalom 1 Enoch Lee, K. S. 1 Fang, Chengcheng 1 Fang, Jinhui 1 Fang, Weijun 1 Férard, Éric 1 Gatephan, Peeraphat 1 Gmyr, Robert 1 González, Oscar E. 1 Granville, Andrew James 1 Grynkiewicz, David J. 1 Haessig, C. Douglas 1 He, Yuqing 1 Hessami Pilehrood, Khodabakhsh 1 Hessami Pilehrood, Tatiana 1 Hilberdink, Titus W. 1 Hinnenthal, Kristian 1 İpek, Ahmet 1 Jha, Abhishek Kumar 1 Ji, Chungang 1 Ji, Qingzhong 1 Jørgensen, Palle E. T. 1 Kane, Daniel M. 1 Keti, Matt 1 Kominers, Scott Duke 1 Kostitsyna, Irina 1 Kuhn, Fabian 1 Leng, Fusheng 1 Lengyel, Tamás 1 Leonetti, Paolo 1 Levy, Dan 1 Li, Weihua 1 Li, Yujuan 1 Lian, Dongyan ...and 75 more Authors all top 5 Cited in 59 Serials 19 Linear Algebra and its Applications 18 AIMS Mathematics 16 Linear and Multilinear Algebra 13 Journal of Number Theory 10 International Journal of Number Theory 9 Finite Fields and their Applications 6 Proceedings of the American Mathematical Society 6 Asian-European Journal of Mathematics 5 Discrete Mathematics 5 Applied Mathematics and Computation 5 Acta Mathematica Hungarica 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Czechoslovak Mathematical Journal 4 Journal of Combinatorial Theory. Series A 3 Bulletin of the Australian Mathematical Society 3 Journal of Algebra 3 Journal de Théorie des Nombres de Bordeaux 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Algebra Colloquium 2 The Ramanujan Journal 2 Journal of Integer Sequences 2 Integers 2 Journal of Systems Science and Complexity 2 Journal of Mathematics 1 Computers & Mathematics with Applications 1 International Journal of Mathematical Education in Science and Technology 1 Journal of Mathematical Analysis and Applications 1 Periodica Mathematica Hungarica 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Archiv der Mathematik 1 Colloquium Mathematicum 1 Glasgow Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal für die Reine und Angewandte Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Results in Mathematics 1 Transactions of the American Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Revista Matemática Iberoamericana 1 Forum Mathematicum 1 International Journal of Foundations of Computer Science 1 Designs, Codes and Cryptography 1 Applicable Algebra in Engineering, Communication and Computing 1 Experimental Mathematics 1 Filomat 1 The Electronic Journal of Combinatorics 1 Abstract and Applied Analysis 1 Journal of Inequalities and Applications 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Acta Mathematica Sinica. English Series 1 Journal of the Australian Mathematical Society 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Journal of Algebra and its Applications 1 Advances in Mathematics of Communications 1 Special Matrices 1 Open Mathematics 1 Research in Number Theory all top 5 Cited in 16 Fields 169 Number theory (11-XX) 70 Linear and multilinear algebra; matrix theory (15-XX) 15 Order, lattices, ordered algebraic structures (06-XX) 10 Algebraic geometry (14-XX) 10 Information and communication theory, circuits (94-XX) 9 Combinatorics (05-XX) 3 Field theory and polynomials (12-XX) 3 Commutative algebra (13-XX) 3 Special functions (33-XX) 2 Geometry (51-XX) 1 Group theory and generalizations (20-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Computer science (68-XX) 1 Mathematics education (97-XX) Citations by Year