• 대한수학회논문집
• /
• 제10권3호
• /
• pp.583-602
• /
• 1995

With the theory of a certain type of orders in a Quaternion algebra, we construct Brandt matrices and theta series. As a application, we calculate the class number of a certain type of orders in a Quanternion algebra with the trace formular of Brandt matrices.

• 대한수학회논문집
• /
• 제11권4호
• /
• pp.925-932
• /
• 1996

On certain groupoids called LIR-groupoids, one can define abstract definitions of continuity and differentiation of functions. Many properties of this abstract continuity and differentiation have analogy to the ordinary continuity and differentiation of real-valued functions.

• Journal of applied mathematics & informatics
• /
• 제6권2호
• /
• pp.611-630
• /
• 1999

In this paper we show that the Derivation D(A) on the non-commutative Banach algebra A with identity satisfying certain conditions is contained in the radical of A and will show some examples satisfying such properties.

• Journal of the Korean Society for Industrial and Applied Mathematics
• /
• 제18권3호
• /
• pp.279-282
• /
• 2014

In this paper, we report a new sharp inequality of interpolation type in $\mathbb{R}^n$. This inequality is for controlling weighted average of a function via $L^n$ norm of the gradient of a function together with its' certain exponential norm.

• 대한수학회논문집
• /
• 제19권1호
• /
• pp.23-27
• /
• 2004

In this paper we explicitly compute the orders of ambiguous ideal class groups of layers of the basic ${\mathbb{Z}}_3-extension$ of certain cubic fields and give an example for Greenberg's conjecture.

• 대한수학회보
• /
• 제45권1호
• /
• pp.45-52
• /
• 2008

We show that certain polygonal products of any four groups, amalgamating central subgroups with trivial intersections, have Property E. Using this result, we derive that outer automorphism groups of polygonal products of four polycyclic-by-finite groups, amalgamating central subgroups with trivial intersections, are residually finite.

• 대한수학회지
• /
• 제39권4호
• /
• pp.525-542
• /
• 2002

In this article, we prove a certain local-global principle for representation of binary forms by an infinite family of quinary positive integral quadratic forms.

• 대한수학회지
• /
• 제34권2호
• /
• pp.427-436
• /
• 1997

In the present paper, we invetigate some argument properties of certain analytic functions and the integral preserving properties in a sector. Our results include several previous results as special cases.

• 대한수학회지
• /
• 제48권1호
• /
• pp.169-178
• /
• 2011

In this paper, we find character analogues of infinite series identities which come from a certain modular transformation formula given by B. C. Berndt.

• Kyungpook Mathematical Journal
• /
• 제54권1호
• /
• pp.31-41
• /
• 2014

In this paper criterion for $L_1$-convergence of a certain cosine sums with quasi hyper-convex coefficients is obtained.