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Let ${\mathbb F}_q$ be the finite field with $q=p^m$ elements. A complex valued Cohn function defined on ${\mathbb F}_q$ is introduced in [1]. In this paper we define generalized Cohn functions on Galois rings and investigate their properties.
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참고문헌 (9)
참고문헌 신청
T. Cochrane / 2000 / On a Problem of H. Cohn for Character Sums / Journal of Number Theory 81:120~129
전상표 / 2018 / The Gauss sums over Galois rings and its absolute values / 한국수학논문집 26(3):519~535
S. Lang / 1978 / Cyclotomic Fields / Springer-Verlag
B. R. McDonald / 1974 / Finite Rings with Identity / Marcel Dekker
A. A. Nechaev / 1991 / Kerdock code in a cyclic form / Discrete Math. Appl 1:365~384
전상표 / 2018 / The Gauss sums over Galois rings and its absolute values / 한국수학논문집 26(3):519~535
S. Lang / 1978 / Cyclotomic Fields / Springer-Verlag
B. R. McDonald / 1974 / Finite Rings with Identity / Marcel Dekker
A. A. Nechaev / 1991 / Kerdock code in a cyclic form / Discrete Math. Appl 1:365~384
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