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POISSON BRACKETS DETERMINED BY JACOBIANS
Ahn, Jaehyun,Oh, Sei-Qwon,Park, Sujin Chungcheong Mathematical Society 2013 충청수학회지 Vol.26 No.2
Fix $n-2$ elements $h_1,{\cdots},h_{n-2}$ of the quotient field B of the polynomial algebra $\mathbb{C}[x_1,x_2,{\cdots},x_n]$. It is proved that B is a Poisson algebra with Poisson bracket defined by $\{f,g\}=det(Jac(f,g,h_1,{\cdots},h_{n-2})$ for any $f,g{\in}B$, where det(Jac) is the determinant of a Jacobian matrix.
ON THE RATIO OF RELATIVE CONGRUENCE ZETA FUNCTIONS OF CYCLOTOMIC FUNCTION FIELDS
Jaehyun Ahn 충청수학회 2016 충청수학회지 Vol.29 No.1
In this paper we give a determinant formula for the ratio of relative congruence zeta functions of cyclotomic function fields.
ON THE DISTRIBUTION OF ADDITIVE ARITHMETIC FUNCTIONS ON THE POLYNOMIAL RING
Jaehyun Ahn,Sei-Qwon Oh 충청수학회 2012 충청수학회지 Vol.25 No.4
We give a result on the density of certain additive arithmetic functions which count the number of restricted irre- ducible polynomials on the polynomial ring.
ONO INVARIANTS OF IMAGINARY QUADRATIC FUNCTION FIELDS
Jaehyun Ahn,Hwanyup Jung 충청수학회 2012 충청수학회지 Vol.25 No.2
In this paper, we de¯ne the Ono invariants of imagi-nary quadratic function ¯elds and obtained several results concern-ing the relations between the Ono invariants and the class numbers.
ON THE RATIO OF RELATIVE CONGRUENCE ZETA FUNCTIONS OF CYCLOTOMIC FUNCTION FIELDS
Ahn, Jaehyun Chungcheong Mathematical Society 2016 충청수학회지 Vol.29 No.1
In this paper we give a determinant formula for the ratio of relative congruence zeta functions of cyclotomic function fields.
POISSON BRACKETS DETERMINED BY JACOBIANS
Jaehyun Ahn,Sei-Qwon Oh,Sujin Park 충청수학회 2013 충청수학회지 Vol.26 No.2
Fix n ¡ 2 elements h1; ¢ ¢ ¢ ; hn¡2 of the quotient ¯eld B of the polynomial algebra C[x1; x2; ¢ ¢ ¢ ; xn]. It is proved that B is a Poisson algebra with Poisson bracket de¯ned by ff; gg =det(Jac(f; g; h1; ¢ ¢ ¢ ; hn¡2)) for any f; g 2 B, where det(Jac) is the determinant of a Jacobian matrix.
WEIGHT ENUMERATORS OF TWO CLASSES OF LINEAR CODES
Jaehyun Ahn,Yeonseok Ka 충청수학회 2020 충청수학회지 Vol.33 No.1
Recently, linear codes constructed from defining sets have been studied widely and determined their complete weight enumerators and weight enumerators. In this paper, we obtain complete weight enumerators of linear codes and weight enumerators of linear codes. These codes have at most three weight linear codes. As application, we show that these codes can be used in secret sharing schemes and authentication codes.
A DETERMINANT FORMULA FOR THE RELATIVE CONGRUENT ZETA FUNCTION IN CYCLOTOMIC FUNCTION FIELDS
Jaehyun Ahn,Dong-Seok Ka 충청수학회 2015 충청수학회지 Vol.28 No.1
In this paper we give a determinant formula for the relative congruent zeta function in cyclotomic function fields.
EXPLICIT FACTORIZATION OF CYCLOTOMIC POLYNOMIALS OVER FINITE FIELDS
( Jaehyun Ahn ),( Sangmin Ji ),( Dongseok Ka ) 충남대학교 기초과학연구소 2016 忠南科學硏究誌 Vol.33 No.2
The factorization of a polynomial over finite fields <sup>F</sup> <sub>q</sub> is a classical topic of mathematics. Consequences are used in a wide variety of situation. In this paper, we give the explicit factorization of 2<sup>n</sup>7-th cyclotomic polynomials over finite field <sup>F</sup> <sub>q</sub> when q ≡ 11,51 (mod 56).
A DETERMINANT FORMULA FOR THE RELATIVE CONGRUENT ZETA FUNCTION IN CYCLOTOMIC FUNCTION FIELDS
Ahn, Jaehyun,Ka, Dong-Seok Chungcheong Mathematical Society 2015 충청수학회지 Vol.28 No.1
In this paper we give a determinant formula for the relative congruent zeta function in cyclotomic function fields.