Shao-Fang Hong

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Person:1300546

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zbMath Open hong.shaofangMaRDI QIDQ1300546

List of research outcomes

PublicationDate of PublicationType
On the sums of squares of exceptional units in residue class rings2023-04-04Paper
A GENERALISATION OF A THEOREM OF ERDŐS AND NIVEN2022-09-19Paper
Improvements of 𝑝-adic estimates of exponential sums2022-07-08Paper
Divisibility among power matrices associated with classes of arithmetic functions2022-06-14Paper
On the divisibility of matrices associated with multiplicative functions2022-05-09Paper
The least common multiple of consecutive terms in a cubic progression2022-04-28Paper
Divisibility among determinants of power matrices associated with integer-valued arithmetic functions2022-04-28Paper
The number of rational points of certain quartic diagonal hypersurfaces over finite fields2022-04-28Paper
On the Galois group of three classes of trinomials2022-04-25Paper
The nonlinearity and Hamming weights of rotation symmetric Boolean functions of small degree2022-04-25Paper
NHZ frequency hopping sequence sets under aperiodic Hamming correlation: tighter bound and optimal constructions2022-04-25Paper
On the denseness of certain reciprocal power sums2022-04-21Paper
On the number of zeros of diagonal cubic forms over finite fields2022-04-19Paper
Some results on ordinary words of standard Reed-Solomon codes2022-04-19Paper
SUMS OF POLYNOMIAL-TYPE EXCEPTIONAL UNITS MODULO2022-04-08Paper
On the number of zeros of diagonal quartic forms over finite fields2022-04-04Paper
On deep holes of primitive projective Reed-Solomon codes2022-03-21Paper
GCD-closed sets and divisibility of Smith matrices2022-02-24Paper
On Igusa local zeta functions of Hauser hybrid polynomials2022-02-02Paper
On Ordinary Words of Standard Reed–Solomon Codes over Finite Fields2021-11-09Paper
On the number of zeros to the equation \(f(x_1)+\cdots+f(x_n)=a\) over finite fields2021-11-02Paper
The 3-adic valuations of Stirling numbers of the first kind2021-09-27Paper
On the sums of squares of exceptional units in residue class rings2021-09-26Paper
A Curious Identity on Multiple Sums over Fields with Applications2021-05-12Paper
\(L\)-functions of twisted exponential sums over finite fields2021-05-06Paper
Algebraic properties of summation of exponential Taylor polynomials2020-11-12Paper
On the \(p\)-adic properties of Stirling numbers of the first kind2020-10-02Paper
On deep holes of generalized Reed-Solomon codes2019-11-14Paper
2-Adic valuations of Stirling numbers of the first kind2019-10-08Paper
A generalization of a theorem of Nagell2019-05-23Paper
A certain reciprocal power sum is never an integer2018-12-20Paper
Multiple reciprocal sums and multiple reciprocal star sums of polynomials are almost never integers2018-10-24Paper
The first and second moments of reversed Dickson polynomials over finite fields2018-05-04Paper
On a certain arithmetical determinant2018-02-22Paper
The Igusa local zeta functions of superelliptic curves2018-02-01Paper
New lower bounds for the least common multiple of polynomial sequences2017-02-24Paper
Hyperdeterminants on meet-semilattices2016-12-20Paper
Igusa local zeta functions of a class of hybrid polynomials2016-11-07Paper
Multiple gcd-closed sets and determinants of matrices associated with arithmetic functions2016-10-04Paper
Criterion for the integrality of hypergeometric series with parameters from quadratic fields2016-09-29Paper
Determinants of matrices associated with arithmetic functions on finitely many quasi-coprime divisor chains2016-06-23Paper
Reversed Dickson polynomials of the fourth kind over finite fields2016-04-15Paper
The number of rational points on a family of varieties over finite fields2016-03-02Paper
On the Integrality of the Elementary Symmetric Functions of 1, 1/3, . . . , 1/(2n − 1)2016-01-21Paper
A note on the Tu-Deng conjecture2016-01-14Paper
Necessary conditions for reversed Dickson polynomials of the second kind to be permutational2015-12-17Paper
The least common multiple of consecutive quadratic progression terms2015-11-09Paper
The number of rational points of a family of hypersurfaces over finite fields2015-06-29Paper
The 2-adic valuations of differences of Stirling numbers of the second kind2015-05-13Paper
New results on permutation polynomials over finite fields2015-04-27Paper
The elementary symmetric functions of reciprocals of elements of arithmetic progressions2015-01-08Paper
Multiple divisor chains and determinants of matrices associated with completely even functions (modr)2014-10-29Paper
Hyperdeterminants associated with multiple even functions2014-09-26Paper
Divisibility by 2 of Stirling numbers of the second kind and their differences2014-08-27Paper
Nonlinearity of quartic rotation symmetric Boolean functions2014-06-30Paper
Asymptotic behavior of the least common multiple of consecutive reducible quadratic progression terms2014-06-23Paper
CONSTRUCTING PERMUTATION POLYNOMIALS OVER FINITE FIELDS2014-06-06Paper
The elementary symmetric functions of a reciprocal polynomial sequence2014-05-09Paper
New lower bounds for the least common multiples of arithmetic progressions2014-04-30Paper
Uniform lower bound for the least common multiple of a polynomial sequence2013-12-17Paper
THE UNIVERSAL KUMMER CONGRUENCES2013-10-08Paper
Asymptotic behavior of the least common multiple of consecutive arithmetic progression terms2013-05-07Paper
On the periodicity of a class of arithmetic functions associated with multiplicative functions2013-04-15Paper
Arithmetic Properties of a Curious Arithmetic Function2013-03-22Paper
On deep holes of standard Reed-Solomon codes2013-01-28Paper
The least common multiple of a sequence of products of linear polynomials2013-01-02Paper
THE LEAST COMMON MULTIPLE OF CONSECUTIVE TERMS IN A QUADRATIC PROGRESSION2012-12-06Paper
THE 2-ADIC VALUATIONS OF STIRLING NUMBERS OF THE SECOND KIND2012-06-08Paper
ASYMPTOTIC BEHAVIOR OF THE SMALLEST EIGENVALUE OF MATRICES ASSOCIATED WITH COMPLETELY EVEN FUNCTIONS (mod r)2011-10-10Paper
The least common multiple of consecutive arithmetic progression terms2011-06-10Paper
SQUARES IN (22 - 1)…(n2 - 1) AND p-ADIC VALUATION2010-07-27Paper
https://portal.mardi4nfdi.de/entity/Q35709932010-07-08Paper
Further improvements of lower bounds for the least common multiples of arithmetic progressions2010-03-31Paper
Divisibility properties of power LCM matrices by power GCD matrices on gcd-closed sets2009-12-09Paper
Notes on the Borwein-Choi conjecture of Littlewood cyclotomic polynomials2009-11-11Paper
Nair's and Farhi's identities involving the least common multiple of binomial coefficients are equivalent2009-07-20Paper
On the divisibility of power LCM matrices by power GCD matrices2009-03-31Paper
Power GCD Matrices for a UFD2009-03-02Paper
Improvements of lower bounds for the least common multiple of finite arithmetic progressions2008-11-27Paper
Infinite divisibility of Smith matrices2008-10-20Paper
Analysis of sharp polynomial upper estimate of number of positive integral points in a five-dimensional tetrahedra2008-10-07Paper
ASYMPTOTIC BEHAVIOR OF LARGEST EIGENVALUE OF MATRICES ASSOCIATED WITH COMPLETELY EVEN FUNCTIONS (MOD r)2008-08-26Paper
THERE DOES NOT EXIST AN ODD SINGULAR NUMBER OF THE FORM plqr2008-08-26Paper
On the periodicity of an arithmetical function2008-08-06Paper
Divisibility properties of Smith matrices2008-04-11Paper
ASYMPTOTIC BEHAVIOR OF EIGENVALUES OF RECIPROCAL POWER LCM MATRICES2008-02-25Paper
Divisibility properties of power GCD matrices and power LCM matrices2008-02-06Paper
Bounds of divided universal Bernoulli numbers and universal Kummer congruences2007-11-30Paper
$L$-functions of twisted diagonal exponential sums over finite fields2007-07-27Paper
On Nonsingular Power LCM Matrices2007-02-08Paper
https://portal.mardi4nfdi.de/entity/Q34152952007-01-16Paper
Lower bounds for the least common multiple of finite arithmetic progressions2007-01-11Paper
https://portal.mardi4nfdi.de/entity/Q34132902007-01-04Paper
https://portal.mardi4nfdi.de/entity/Q54852352006-08-29Paper
Nonsingularity of matrices associated with classes of arithmetical functions on lcm-closed sets2006-08-04Paper
Determinants of Matrices Associated with Incidence Functions on Posets2006-02-14Paper
https://portal.mardi4nfdi.de/entity/Q56983372005-10-27Paper
Nonsingularity of least common multiple matrices on gcd-closed sets2005-09-22Paper
ASYMPTOTIC BEHAVIOR OF EIGENVALUES OF GREATEST COMMON DIVISOR MATRICES2005-04-18Paper
Nonsingularity of matrices associated with classes of arithmetical functions2005-02-16Paper
Divisibility of determinants of least common multiple matrices on GCD-closed sets2004-09-22Paper
Factorization of matrices associated with classes of arithmetical functions2004-08-19Paper
Notes on power LCM matrices2004-08-18Paper
https://portal.mardi4nfdi.de/entity/Q47813912003-07-15Paper
Newton polygons for \(L\)-functions of exponential sums of polynomials of degree six over finite fields.2003-04-02Paper
https://portal.mardi4nfdi.de/entity/Q45491752002-08-27Paper
Newton polygons of \(L\) functions associated with exponential sums of polynomials of degree four over finite fields2002-06-24Paper
On the factorization of LCM matrices on gcd-closed sets2002-05-15Paper
https://portal.mardi4nfdi.de/entity/Q27454902002-02-27Paper
Gcd-closed sets and determinants of matrices associated with arithmetical functions2002-02-21Paper
Additive characters and orthogonal systems of polynomials in several indeterminates over residue class rings2002-02-18Paper
Gaps in the cardinalities of row spaces of Boolean matrices2001-12-06Paper
https://portal.mardi4nfdi.de/entity/Q45059912001-08-07Paper
On the cardinalities of the row spaces of non-full rank Boolean matrices2001-05-14Paper
Distribution of cardinalities of row spaces of Boolean matrices of order \(n\)2001-02-25Paper
https://portal.mardi4nfdi.de/entity/Q44950452001-02-08Paper
https://portal.mardi4nfdi.de/entity/Q44897542000-11-20Paper
Notes on Glaisher's congruences2000-10-26Paper
Bounds for determinants of matrices associated with classes of arithmetical functions2000-05-28Paper
On LCM matrices on GCD-closed sets2000-05-14Paper
Lower bounds for determinants of matrices associated with classes of arithmetical Functions2000-03-14Paper
On the Bourque-Ligh conjecture of least common multiple matrices1999-11-19Paper
https://portal.mardi4nfdi.de/entity/Q42245151999-06-23Paper
https://portal.mardi4nfdi.de/entity/Q43995551998-10-18Paper
On the structure rank of a class of structure matrices1998-04-23Paper
https://portal.mardi4nfdi.de/entity/Q43674741998-01-05Paper
https://portal.mardi4nfdi.de/entity/Q31291111997-09-01Paper
https://portal.mardi4nfdi.de/entity/Q31291041997-06-25Paper
https://portal.mardi4nfdi.de/entity/Q48956571996-10-14Paper

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