## Hong, Shaofang

Compute Distance To:
 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
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### 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)

### 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 1083.11021
Hong, Shaofang; Loewy, Raphael
2004
Gcd-closed sets and determinants of matrices associated with arithmetical functions. Zbl 0987.11014
Hong, Shaofang
2002
On the Bourque-Ligh conjecture of least common multiple matrices. Zbl 1015.11007
Hong, Shaofang
1999
Nonsingularity of matrices associated with classes of arithmetical functions. Zbl 1064.11024
Hong, Shaofang
2004
Asymptotic behavior of eigenvalues of reciprocal power LCM matrices. Zbl 1186.11011
Hong, Shaofang; Enoch Lee, K. S.
2008
Factorization of matrices associated with classes of arithmetical functions. Zbl 1047.11023
Hong, Shaofang
2003
On the factorization of LCM matrices on gcd-closed sets. Zbl 0995.15006
Hong, Shaofang
2002
Nonsingularity of least common multiple matrices on gcd-closed sets. Zbl 1080.11022
Hong, Shaofang
2005
Asymptotic behaviour of the smallest eigenvalue of matrices associated with completely even functions. Zbl 1273.11052
Hong, Shaofang; Loewy, Raphael
2011
Notes on power LCM matrices. Zbl 1047.11022
Hong, Shaofang
2004
Nonsingularity of matrices associated with classes of arithmetical functions on lcm-closed sets. Zbl 1131.11018
Hong, Shaofang
2006
Lower bounds for the least common multiple of finite arithmetic progressions. Zbl 1156.11004
Hong, Shaofang; Feng, Weiduan
2006
Divisibility properties of Smith matrices. Zbl 1146.11017
Hong, Shaofang; Zhao, Jianrong; Yin, Youzhan
2008
Divisibility properties of power GCD matrices and power LCM matrices. Zbl 1137.11017
Hong, Shaofang
2008
Divisibility properties of power LCM matrices by power GCD matrices on gcd-closed sets. Zbl 1263.11042
Feng, Weiduan; Hong, Shaofang; Zhao, Jianrong
2009
On nonsingular power LCM matrices. Zbl 1140.11319
Hong, Shaofang; Shum, K. P.; Sun, Qi
2006
Determinants of matrices associated with incidence functions on posets. Zbl 1080.11023
Hong, Shaofang; Sun, Qi
2004
On the periodicity of an arithmetical function. Zbl 1213.11014
Hong, Shaofang; Yang, Yujuan
2008
On the divisibility of power LCM matrices by power GCD matrices. Zbl 1174.11031
Zhao, Jianrong; Hong, Shaofang; Liao, Qunying; Shum, K. P.
2007
Bounds for determinants of matrices associated with classes of arithmetical functions. Zbl 0937.15004
Hong, Shaofang
1998
Newton polygons of $$L$$ functions associated with exponential sums of polynomials of degree four over finite fields. Zbl 0987.11075
Hong, Shaofang
2001
The least common multiple of a sequence of products of linear polynomials. Zbl 1265.11093
Hong, Shaofang; Qian, Guoyou; Tan, Qianrong
2012
Newton polygons for $$L$$-functions of exponential sums of polynomials of degree six over finite fields. Zbl 1067.11047
Hong, Shaofang
2002
The least common multiple of consecutive arithmetic progression terms. Zbl 1304.11008
Hong, Shaofang; Qian, Guoyou
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 1280.11064
Hong, Shaofang; Luo, Yuanyuan; Qian, Guoyou; Wang, Chunlin
2013
The 2-adic valuations of Stirling numbers of the second kind. Zbl 1252.11025
Hong, Shaofang; Zhao, Jianrong; Zhao, Wei
2012
Asymptotic behavior of largest eigenvalue of matrices associated with completely even functions (mod $$r$$). Zbl 1172.11008
Hong, Shaofang
2008
Power GCD matrices for a UFD. Zbl 1247.11033
Hong, Shaofang; Zhou, Xingwang; Zhao, Jianrong
2009
LCM matrix on an $$r$$-fold GCD-closed set. Zbl 0869.11021
Hong, Shaofang
1996
Further improvements of lower bounds for the least common multiples of arithmetic progressions. Zbl 1196.11007
Hong, Shaofang; Kominers, Scott Duke
2010
Infinite divisibility of Smith matrices. Zbl 1163.11023
Hong, Shaofang
2008
On LCM matrices on GCD-closed sets. Zbl 0936.15011
Hong, Shaofang
1998
Divisibility by 2 of Stirling numbers of the second kind and their differences. Zbl 1316.11018
Zhao, Jianrong; Hong, Shaofang; Zhao, Wei
2014
Improvements of lower bounds for the least common multiple of finite arithmetic progressions. Zbl 1157.11001
Hong, Shaofang; Yang, Yujuan
2008
The elementary symmetric functions of reciprocals of elements of arithmetic progressions. Zbl 1320.11008
Hong, Shaofang; Wang, Chunlin
2014
The number of rational points of a family of hypersurfaces over finite fields. Zbl 1375.11075
Hu, Shuangnian; Hong, Shaofang; Zhao, Wei
2015
The least common multiple of consecutive terms in a quadratic progression. Zbl 1290.11015
Qian, Guoyou; Tan, Qianrong; Hong, Shaofang
2012
On deep holes of standard Reed-Solomon codes. Zbl 1262.94026
Wu, Rongjun; Hong, Shaofang
2012
Necessary conditions for reversed Dickson polynomials of the second kind to be permutational. Zbl 1402.11146
Hong, Shaofang; Qin, Xiaoer; Zhao, Wei
2016
New lower bounds for the least common multiple of polynomial sequences. Zbl 1421.11001
Hong, Shaofang; Qian, Guoyou
2017
Hyperdeterminants associated with multiple even functions. Zbl 1368.11024
Hong, Shaofang; Li, Mao; Wang, Bangyan
2014
On the integrality of the elementary symmetric functions of $$1, 1/3,\dots, 1/(2n - 1)$$. Zbl 1363.11041
Wang, Chunlin; Hong, Shaofang
2015
Bounds of divided universal Bernoulli numbers and universal Kummer congruences. Zbl 1126.11001
Adelberg, Arnold; Hong, Shaofang; Ren, Wenli
2008
Divisibility of determinants of least common multiple matrices on GCD-closed sets. Zbl 1160.11316
Hong, Shaofang
2003
Lower bounds for determinants of matrices associated with classes of arithmetical functions. Zbl 0932.11018
Hong, Shaofang
1999
On Bourque-Ligh conjecture of LCM matrices. Zbl 0869.11022
Hong, Shaofang
1996
The least common multiple of consecutive quadratic progression terms. Zbl 1397.11062
Hong, Shaofang; Qian, Guoyou
2015
The elementary symmetric functions of a reciprocal polynomial sequence. (Les fonctions symétriques élémentaires des suites d’inverses de valeurs de polynômes.) Zbl 1286.11170
Luo, Yuanyuan; Hong, Shaofang; Qian, Guoyou; Wang, Chunlin
2014
Constructing permutation polynomials over finite fields. Zbl 1301.11076
Qin, Xiaoer; Hong, Shaofang
2014
2-adic valuations of Stirling numbers of the first kind. Zbl 1442.11047
Qiu, Min; Hong, Shaofang
2019
On a certain arithmetical determinant. Zbl 1399.11082
Hong, S.; Hu, S.; Lin, Zong Bing
2016
Multiple divisor chains and determinants of matrices associated with completely even functions $$\pmod r$$. Zbl 1307.11035
Hu, Shuangnian; Hong, Shaofang
2014
New results on permutation polynomials over finite fields. Zbl 1365.11124
Qin, Xiaoer; Qian, Guoyou; Hong, Shaofang
2015
Asymptotic behavior of the least common multiple of consecutive arithmetic progression terms. Zbl 1290.11014
Qian, Guoyou; Hong, Shaofang
2013
The universal Kummer congruences. Zbl 1355.11017
Hong, Shaofang; Zhao, Jianrong; Zhao, Wei
2013
A generalization of a theorem of Nagell. Zbl 1438.11124
Feng, Y. L.; Hong, S. F.; Jiang, X.; Yin, Q. Y.
2019
The 2-adic valuations of differences of Stirling numbers of the second kind. Zbl 1365.11021
Zhao, Wei; Zhao, Jianrong; Hong, Shaofang
2015
Notes on Glaisher’s congruences. Zbl 0966.11005
Hong, Shaofang
2000
$$L$$-functions of twisted diagonal exponential sums over finite fields. Zbl 1132.14021
Hong, Shaofang
2007
There does not exist an odd singular number of the form $$p^l qr$$. Zbl 1190.11019
Hong, Shaofang; Wang, Shaofang
2008
New lower bounds for the least common multiples of arithmetic progressions. Zbl 1292.11006
Wu, Rongjun; Tan, Qianrong; Hong, Shaofang
2013
On the $$p$$-adic properties of Stirling numbers of the first kind. Zbl 1463.11076
Hong, S. F.; Qiu, M.
2020
On deep holes of generalized Reed-Solomon codes. Zbl 1469.94134
Hong, Shaofang; Wu, Rongjun
2016
Determinants of matrices associated with arithmetic functions on finitely many quasi-coprime divisor chains. Zbl 1338.15063
Hu, Shuangnian; Hong, Shaofang; Zhao, Jianrong
2015
Multiple gcd-closed sets and determinants of matrices associated with arithmetic functions. Zbl 1419.11051
Hong, Siao; Hu, Shuangnian; Hong, Shaofang
2016
Squares in $$(2^{2} - 1)\dots (n^{2} - 1)$$ and $$p$$-adic valuation. Zbl 1213.11081
Hong, Shaofang; Liu, Xingjiang
2010
The lower bound of the determinant of matrices associated with classes of arithmetical functions. Zbl 0965.11008
Hong, Shaofang
2000
Nonlinearity of quartic rotation symmetric Boolean functions. Zbl 1299.06032
Yang, Liping; Wu, Rongjun; Hong, Shaofang
2013
Divisibility among determinants of power matrices associated with integer-valued arithmetic functions. Zbl 1489.15014
Chen, Long; Hong, Shaofang
2020
Multiple reciprocal sums and multiple reciprocal star sums of polynomials are almost never integers. Zbl 1458.11135
Yin, Qiuyu; Hong, Shaofang; Yang, Liping; Qiu, Min
2019
The first and second moments of reversed Dickson polynomials over finite fields. Zbl 1430.11156
Cheng, Kaimin; Hong, Shaofang
2018
A note on the Tu-Deng conjecture. Zbl 1345.94053
Cheng, Kaimin; Hong, Shaofang; Zhong, Yuanming
2015
A new class of Aurifeuillian factorizations of $$M^n\pm 1$$. Zbl 0959.11002
Sun, Qi; Ren, Debin; Hong, Shaofang; Yuan, Pingzhi; Han, Qing
1999
Aurifeuillian factorizations of $$q^q\pm 1$$ $$(q=p^n)$$. Zbl 0915.11007
Sun, Qi; Hong, Shaofang
1998
Arithmetic properties of a curious arithmetic function. Zbl 1276.11012
Wang, Tingting; Tan, Qianrong; Hong, Shaofang
2012
On the periodicity of a class of arithmetic functions associated with multiplicative functions. Zbl 1275.11012
Qian, Guoyou; Tan, Qianrong; Hong, Shaofang
2013
A generalization of Wilson’s theorem. Zbl 1126.11002
Ren, Wenli; Hong, Shaofang; Zhou, Xingwang
2006
Hyperdeterminants on meet-semilattices. Zbl 1368.11025
Wang, Bangyan; Hong, Shaofang; Li, Mao
2016
GCD-closed sets and divisibility of Smith matrices. Zbl 1484.11095
Zhao, Jianrong; Chen, Long; Hong, Shaofang
2022
On deep holes of primitive projective Reed-Solomon codes. Zbl 1499.94073
Xu, Xiaofan; Hong, Shaofang; Xu, Yongchao
2018
Sums of polynomial-type exceptional units modulo $$n$$. Zbl 1500.11013
Zhao, Junyong; Hong, Shaofang; Zhu, Chaoxi
2022
On the divisibility of matrices associated with multiplicative functions. Zbl 1499.11159
Chen, Long; Feng, Yulu; Hong, Shaofang; Qiu, Min
2022
GCD-closed sets and divisibility of Smith matrices. Zbl 1484.11095
Zhao, Jianrong; Chen, Long; Hong, Shaofang
2022
Sums of polynomial-type exceptional units modulo $$n$$. Zbl 1500.11013
Zhao, Junyong; Hong, Shaofang; Zhu, Chaoxi
2022
On the divisibility of matrices associated with multiplicative functions. Zbl 1499.11159
Chen, Long; Feng, Yulu; Hong, Shaofang; Qiu, Min
2022
On the $$p$$-adic properties of Stirling numbers of the first kind. Zbl 1463.11076
Hong, S. F.; Qiu, M.
2020
Divisibility among determinants of power matrices associated with integer-valued arithmetic functions. Zbl 1489.15014
Chen, Long; Hong, Shaofang
2020
2-adic valuations of Stirling numbers of the first kind. Zbl 1442.11047
Qiu, Min; Hong, Shaofang
2019
A generalization of a theorem of Nagell. Zbl 1438.11124
Feng, Y. L.; Hong, S. F.; Jiang, X.; Yin, Q. Y.
2019
Multiple reciprocal sums and multiple reciprocal star sums of polynomials are almost never integers. Zbl 1458.11135
Yin, Qiuyu; Hong, Shaofang; Yang, Liping; Qiu, Min
2019
The first and second moments of reversed Dickson polynomials over finite fields. Zbl 1430.11156
Cheng, Kaimin; Hong, Shaofang
2018
On deep holes of primitive projective Reed-Solomon codes. Zbl 1499.94073
Xu, Xiaofan; Hong, Shaofang; Xu, Yongchao
2018
New lower bounds for the least common multiple of polynomial sequences. Zbl 1421.11001
Hong, Shaofang; Qian, Guoyou
2017
Necessary conditions for reversed Dickson polynomials of the second kind to be permutational. Zbl 1402.11146
Hong, Shaofang; Qin, Xiaoer; Zhao, Wei
2016
On a certain arithmetical determinant. Zbl 1399.11082
Hong, S.; Hu, S.; Lin, Zong Bing
2016
On deep holes of generalized Reed-Solomon codes. Zbl 1469.94134
Hong, Shaofang; Wu, Rongjun
2016
Multiple gcd-closed sets and determinants of matrices associated with arithmetic functions. Zbl 1419.11051
Hong, Siao; Hu, Shuangnian; Hong, Shaofang
2016
Hyperdeterminants on meet-semilattices. Zbl 1368.11025
Wang, Bangyan; Hong, Shaofang; Li, Mao
2016
The number of rational points of a family of hypersurfaces over finite fields. Zbl 1375.11075
Hu, Shuangnian; Hong, Shaofang; Zhao, Wei
2015
On the integrality of the elementary symmetric functions of $$1, 1/3,\dots, 1/(2n - 1)$$. Zbl 1363.11041
Wang, Chunlin; Hong, Shaofang
2015
The least common multiple of consecutive quadratic progression terms. Zbl 1397.11062
Hong, Shaofang; Qian, Guoyou
2015
New results on permutation polynomials over finite fields. Zbl 1365.11124
Qin, Xiaoer; Qian, Guoyou; Hong, Shaofang
2015
The 2-adic valuations of differences of Stirling numbers of the second kind. Zbl 1365.11021
Zhao, Wei; Zhao, Jianrong; Hong, Shaofang
2015
Determinants of matrices associated with arithmetic functions on finitely many quasi-coprime divisor chains. Zbl 1338.15063
Hu, Shuangnian; Hong, Shaofang; Zhao, Jianrong
2015
A note on the Tu-Deng conjecture. Zbl 1345.94053
Cheng, Kaimin; Hong, Shaofang; Zhong, Yuanming
2015
Divisibility by 2 of Stirling numbers of the second kind and their differences. Zbl 1316.11018
Zhao, Jianrong; Hong, Shaofang; Zhao, Wei
2014
The elementary symmetric functions of reciprocals of elements of arithmetic progressions. Zbl 1320.11008
Hong, Shaofang; Wang, Chunlin
2014
Hyperdeterminants associated with multiple even functions. Zbl 1368.11024
Hong, Shaofang; Li, Mao; Wang, Bangyan
2014
The elementary symmetric functions of a reciprocal polynomial sequence. (Les fonctions symétriques élémentaires des suites d’inverses de valeurs de polynômes.) Zbl 1286.11170
Luo, Yuanyuan; Hong, Shaofang; Qian, Guoyou; Wang, Chunlin
2014
Constructing permutation polynomials over finite fields. Zbl 1301.11076
Qin, Xiaoer; Hong, Shaofang
2014
Multiple divisor chains and determinants of matrices associated with completely even functions $$\pmod r$$. Zbl 1307.11035
Hu, Shuangnian; Hong, Shaofang
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 1280.11064
Hong, Shaofang; Luo, Yuanyuan; Qian, Guoyou; Wang, Chunlin
2013
Asymptotic behavior of the least common multiple of consecutive arithmetic progression terms. Zbl 1290.11014
Qian, Guoyou; Hong, Shaofang
2013
The universal Kummer congruences. Zbl 1355.11017
Hong, Shaofang; Zhao, Jianrong; Zhao, Wei
2013
New lower bounds for the least common multiples of arithmetic progressions. Zbl 1292.11006
Wu, Rongjun; Tan, Qianrong; Hong, Shaofang
2013
Nonlinearity of quartic rotation symmetric Boolean functions. Zbl 1299.06032
Yang, Liping; Wu, Rongjun; Hong, Shaofang
2013
On the periodicity of a class of arithmetic functions associated with multiplicative functions. Zbl 1275.11012
Qian, Guoyou; Tan, Qianrong; Hong, Shaofang
2013
The least common multiple of a sequence of products of linear polynomials. Zbl 1265.11093
Hong, Shaofang; Qian, Guoyou; Tan, Qianrong
2012
The 2-adic valuations of Stirling numbers of the second kind. Zbl 1252.11025
Hong, Shaofang; Zhao, Jianrong; Zhao, Wei
2012
The least common multiple of consecutive terms in a quadratic progression. Zbl 1290.11015
Qian, Guoyou; Tan, Qianrong; Hong, Shaofang
2012
On deep holes of standard Reed-Solomon codes. Zbl 1262.94026
Wu, Rongjun; Hong, Shaofang
2012
Arithmetic properties of a curious arithmetic function. Zbl 1276.11012
Wang, Tingting; Tan, Qianrong; Hong, Shaofang
2012
Asymptotic behaviour of the smallest eigenvalue of matrices associated with completely even functions. Zbl 1273.11052
Hong, Shaofang; Loewy, Raphael
2011
The least common multiple of consecutive arithmetic progression terms. Zbl 1304.11008
Hong, Shaofang; Qian, Guoyou
2011
Further improvements of lower bounds for the least common multiples of arithmetic progressions. Zbl 1196.11007
Hong, Shaofang; Kominers, Scott Duke
2010
Squares in $$(2^{2} - 1)\dots (n^{2} - 1)$$ and $$p$$-adic valuation. Zbl 1213.11081
Hong, Shaofang; Liu, Xingjiang
2010
Divisibility properties of power LCM matrices by power GCD matrices on gcd-closed sets. Zbl 1263.11042
Feng, Weiduan; Hong, Shaofang; Zhao, Jianrong
2009
Power GCD matrices for a UFD. Zbl 1247.11033
Hong, Shaofang; Zhou, Xingwang; Zhao, Jianrong
2009
Asymptotic behavior of eigenvalues of reciprocal power LCM matrices. Zbl 1186.11011
Hong, Shaofang; Enoch Lee, K. S.
2008
Divisibility properties of Smith matrices. Zbl 1146.11017
Hong, Shaofang; Zhao, Jianrong; Yin, Youzhan
2008
Divisibility properties of power GCD matrices and power LCM matrices. Zbl 1137.11017
Hong, Shaofang
2008
On the periodicity of an arithmetical function. Zbl 1213.11014
Hong, Shaofang; Yang, Yujuan
2008
Asymptotic behavior of largest eigenvalue of matrices associated with completely even functions (mod $$r$$). Zbl 1172.11008
Hong, Shaofang
2008
Infinite divisibility of Smith matrices. Zbl 1163.11023
Hong, Shaofang
2008
Improvements of lower bounds for the least common multiple of finite arithmetic progressions. Zbl 1157.11001
Hong, Shaofang; Yang, Yujuan
2008
Bounds of divided universal Bernoulli numbers and universal Kummer congruences. Zbl 1126.11001
Adelberg, Arnold; Hong, Shaofang; Ren, Wenli
2008
There does not exist an odd singular number of the form $$p^l qr$$. Zbl 1190.11019
Hong, Shaofang; Wang, Shaofang
2008
On the divisibility of power LCM matrices by power GCD matrices. Zbl 1174.11031
Zhao, Jianrong; Hong, Shaofang; Liao, Qunying; Shum, K. P.
2007
$$L$$-functions of twisted diagonal exponential sums over finite fields. Zbl 1132.14021
Hong, Shaofang
2007
Nonsingularity of matrices associated with classes of arithmetical functions on lcm-closed sets. Zbl 1131.11018
Hong, Shaofang
2006
Lower bounds for the least common multiple of finite arithmetic progressions. Zbl 1156.11004
Hong, Shaofang; Feng, Weiduan
2006
On nonsingular power LCM matrices. Zbl 1140.11319
Hong, Shaofang; Shum, K. P.; Sun, Qi
2006
A generalization of Wilson’s theorem. Zbl 1126.11002
Ren, Wenli; Hong, Shaofang; Zhou, Xingwang
2006
Nonsingularity of least common multiple matrices on gcd-closed sets. Zbl 1080.11022
Hong, Shaofang
2005
Asymptotic behavior of eigenvalues of greatest common divisor matrices. Zbl 1083.11021
Hong, Shaofang; Loewy, Raphael
2004
Nonsingularity of matrices associated with classes of arithmetical functions. Zbl 1064.11024
Hong, Shaofang
2004
Notes on power LCM matrices. Zbl 1047.11022
Hong, Shaofang
2004
Determinants of matrices associated with incidence functions on posets. Zbl 1080.11023
Hong, Shaofang; Sun, Qi
2004
Factorization of matrices associated with classes of arithmetical functions. Zbl 1047.11023
Hong, Shaofang
2003
Divisibility of determinants of least common multiple matrices on GCD-closed sets. Zbl 1160.11316
Hong, Shaofang
2003
Gcd-closed sets and determinants of matrices associated with arithmetical functions. Zbl 0987.11014
Hong, Shaofang
2002
On the factorization of LCM matrices on gcd-closed sets. Zbl 0995.15006
Hong, Shaofang
2002
Newton polygons for $$L$$-functions of exponential sums of polynomials of degree six over finite fields. Zbl 1067.11047
Hong, Shaofang
2002
Newton polygons of $$L$$ functions associated with exponential sums of polynomials of degree four over finite fields. Zbl 0987.11075
Hong, Shaofang
2001
Notes on Glaisher’s congruences. Zbl 0966.11005
Hong, Shaofang
2000
The lower bound of the determinant of matrices associated with classes of arithmetical functions. Zbl 0965.11008
Hong, Shaofang
2000
On the Bourque-Ligh conjecture of least common multiple matrices. Zbl 1015.11007
Hong, Shaofang
1999
Lower bounds for determinants of matrices associated with classes of arithmetical functions. Zbl 0932.11018
Hong, Shaofang
1999
A new class of Aurifeuillian factorizations of $$M^n\pm 1$$. Zbl 0959.11002
Sun, Qi; Ren, Debin; Hong, Shaofang; Yuan, Pingzhi; Han, Qing
1999
Bounds for determinants of matrices associated with classes of arithmetical functions. Zbl 0937.15004
Hong, Shaofang
1998
On LCM matrices on GCD-closed sets. Zbl 0936.15011
Hong, Shaofang
1998
Aurifeuillian factorizations of $$q^q\pm 1$$ $$(q=p^n)$$. Zbl 0915.11007
Sun, Qi; Hong, Shaofang
1998
LCM matrix on an $$r$$-fold GCD-closed set. Zbl 0869.11021
Hong, Shaofang
1996
On Bourque-Ligh conjecture of LCM matrices. Zbl 0869.11022
Hong, Shaofang
1996
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### 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
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### 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
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### 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)