Department of Mathematics

Research Output

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Article
1987

Twists of central simple algebras and endomorphism algebras of some abelian varieties

Chi, W., 1987 Dec 1, In : Mathematische Annalen. 276, 4, p. 615-632 18 p.

Research output: Contribution to journalArticle

7 Citations (Scopus)
1988

Societal differences and their influences on children's mathematics understanding

Lin, F-L., 1988 Nov 1, In : Educational Studies in Mathematics. 19, 4, p. 471-497 27 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)
1991

On the l-adic representations attached to simple abelian varieties of type IV

Chi, W., 1991 Aug, In : Bulletin of the Australian Mathematical Society. 44, 1, p. 71-78 8 p.

Research output: Contribution to journalArticle

13 Citations (Scopus)
1992

Rank revealing LU factorizations

Hwang, T. M., Lin, W. W. & Yang, E. K., 1992 Oct, In : Linear Algebra and Its Applications. 175, C, p. 115-141 27 p.

Research output: Contribution to journalArticle

17 Citations (Scopus)

Twists of matrix algebras and some subgroups of Brauer groups

Chi, W., 1992 Jun, In : Bulletin of the Australian Mathematical Society. 45, 3, p. 377-383 7 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)
1993

The invariants of orthogonal group actions

Chiang, L. & Hung, Y. C., 1993 Jan 1, In : Bulletin of the Australian Mathematical Society. 48, 2, p. 313-319 7 p.

Research output: Contribution to journalArticle

Open Access
3 Citations (Scopus)
1994

Twists of matrix algebras and some subgroups of Brauer groups II

Chi, W-C., 1994 Jan 1, In : Bulletin of the Australian Mathematical Society. 50, 2, p. 245-250 6 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)
1995

Dichotomies for Abstract Semilinear Equations

Chang, Y. H. & Martin, R. H., 1995 Jan 1, In : Journal of Mathematical Analysis and Applications. 189, 1, p. 194-214 21 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Null boundary controllability for semilinear heat equations

Lin Guo, Y. J. & Littman, W., 1995 Nov 1, In : Applied Mathematics & Optimization. 32, 3, p. 281-316 36 p.

Research output: Contribution to journalArticle

23 Citations (Scopus)

Twists of matrix algebras and Brauer groups

Chi, W. C. & Tan, K. S., 1995 Jan 27, In : Journal of Pure and Applied Algebra. 98, 2, p. 111-118 8 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)
1996

A Large Sieve Inequality for rational function fields

Hsu, C. N., 1996 Jun, In : Journal of Number Theory. 58, 2, p. 267-287 21 p.

Research output: Contribution to journalArticle

14 Citations (Scopus)

A weak Néron model with applications to p-adic dynamical systems

Hsia, L. C., 1996 Dec 1, In : Compositio Mathematica. 100, 3, p. 277-304 28 p.

Research output: Contribution to journalArticle

32 Citations (Scopus)

Counting periodic points of p-adic power series

Hua-Chieh, L. I., 1996 Dec 1, In : Compositio Mathematica. 100, 3, p. 351-364 14 p.

Research output: Contribution to journalArticle

16 Citations (Scopus)

On Fan's minimax inequality

Chu, L. J., 1996 Jul 1, In : Journal of Mathematical Analysis and Applications. 201, 1, p. 103-113 11 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

On the sum of monotone operators

Chu, L. J., 1996 Jan 1, In : Michigan Mathematical Journal. 43, 2, p. 273-289 17 p.

Research output: Contribution to journalArticle

17 Citations (Scopus)

P-adic dynamical systems and formal groups

Hua-Chieh, L. I., 1996 Dec 1, In : Compositio Mathematica. 104, 1, p. 41-54 14 p.

Research output: Contribution to journalArticle

13 Citations (Scopus)

p-adic periodic points and Sen's theorem

Li, H. C., 1996 Feb, In : Journal of Number Theory. 56, 2, p. 309-318 10 p.

Research output: Contribution to journalArticle

14 Citations (Scopus)

The distribution of irreducible polynomials in double-struck F signq[t]

Hsu, C. N., 1996 Nov, In : Journal of Number Theory. 61, 1, p. 85-96 12 p.

Research output: Contribution to journalArticle

20 Citations (Scopus)

When is a p-adic power series an endomorphism of a formal group?

Li, H-C., 1996 Jan 1, In : Proceedings of the American Mathematical Society. 124, 8, p. 2325-2329 5 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)
1997

Improved bound for rank revealing LU factorizations

Hwang, T. M., Lin, W. W. & Pierce, D., 1997 Aug, In : Linear Algebra and Its Applications. 261, 1-3, p. 173-186 14 p.

Research output: Contribution to journalArticle

12 Citations (Scopus)

Isogenies between dynamics of formal groups

Li, H. C., 1997 Feb, In : Journal of Number Theory. 62, 2, p. 284-297 14 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

On Artin's conjecture for the Carlitz module

Hsu, C. N., 1997 Jan 1, In : Compositio Mathematica. 106, 3, p. 247-266 20 p.

Research output: Contribution to journalArticle

12 Citations (Scopus)

On the Dynamical Height Zeta Functions

Hsia, L. C., 1997 Mar 1, In : Journal of Number Theory. 63, 1, p. 146-169 24 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)
1998

A new potential reduction algorithm for smooth convex programming

Chu, L. J., 1998 Jan 1, In : Optimization. 44, 3, p. 235-262 28 p.

Research output: Contribution to journalArticle

Applications of the Large Sieve Inequality for Fq[T]

Hsu, C. N., 1998 Jul 1, In : Finite Fields and their Applications. 4, 3, p. 275-281 7 p.

Research output: Contribution to journalArticle

Groups of continuous characters and Brauer groups

Chi, W. C. & Li, A., 1998 Jan 1, In : Communications in Algebra. 26, 12, p. 4171-4177 7 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Negatively curved sets on surfaces of Constant Mean Curvature in ℝ3 are Large

Huang, W. H. & Lin, C. C., 1998 Mar 26, In : Archive for Rational Mechanics and Analysis. 141, 2, p. 105-116 12 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)

On Carmichael Polynomials

Hsu, C-N., 1998 Aug 1, In : Journal of Number Theory. 71, 2, p. 257-274 18 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

On certain character sums over ℙq,[T]

Hsu, C. N., 1998, In : Proceedings of the American Mathematical Society. 126, 3, p. 647-652 6 p.

Research output: Contribution to journalArticle

Open Access
3 Citations (Scopus)

On Hilbert-Kunz Functions of Some Hypersurfaces

Chiang, L. & Hung, Y. C., 1998 Jan 15, In : Journal of Algebra. 199, 2, p. 499-527 29 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

On Singular Moduli of Drinfeld Modules in Characteristic Two

Hsia, L. C. & Yu, J., 1998 Mar 1, In : Journal of Number Theory. 69, 1, p. 80-97 18 p.

Research output: Contribution to journalArticle

On the Coefficients of Modular Polynomials for Drinfeld Modules

Hsia, L. C., 1998 Oct 1, In : Journal of Number Theory. 72, 2, p. 236-256 21 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Ratliff-Rush Closures and Coefficient Modules

Liu, J. C., 1998 Mar 15, In : Journal of Algebra. 201, 2, p. 584-603 20 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

Rees algebras of finitely generated torsion-free modules over a two-dimensional regular local ring

Liu, J. C., 1998 Jan 1, In : Communications in Algebra. 26, 12, p. 4015-4039 25 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)

Some results on finite drinfeld modules

Hsu, C-N., 1998 Dec 1, In : Proceedings of the American Mathematical Society. 126, 7, p. 1955-1961 7 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Sustained attention deficit and schizotypal personality features in nonpsychotic relatives of schizophrenic patients

Chen, W. J., Liu, S. K., Chang, C. J., Lien, Y. J., Chang, Y. H. & Hwu, H. G., 1998 Sep, In : American Journal of Psychiatry. 155, 9, p. 1214-1220 7 p.

Research output: Contribution to journalArticle

211 Citations (Scopus)
1999

Diophantine Inequalities for Polynomial Rings

Hsu, C. N., 1999 Sep 1, In : Journal of Number Theory. 78, 1, p. 46-61 16 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Estimates for coefficients of L-functions for function fields

Hsu, C. N., 1999 Jan, In : Finite Fields and their Applications. 5, 1, p. 76-88 13 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

Fibonacci primitive roots and wall's question

Li, H. C., 1999 Feb 1, In : Fibonacci Quarterly. 37, 1, p. 77-84 8 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

Group algebras with units satisfying a group identity

Liu, C. H., 1999, In : Proceedings of the American Mathematical Society. 127, 2, p. 327-336 10 p.

Research output: Contribution to journalArticle

Open Access
38 Citations (Scopus)

Group algebras with units satisfying a group identity II

Liu, C. H. & Passman, D. S., 1999, In : Proceedings of the American Mathematical Society. 127, 2, p. 337-341 5 p.

Research output: Contribution to journalArticle

Open Access
29 Citations (Scopus)

On second-order linear recurrence sequences: Wall and wyler revisited

Li, H-C., 1999 Nov 1, In : Fibonacci Quarterly. 37, 4, p. 342-349 8 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

Reduction number one for finitely generated torsion-free modules

Liu, J. C., 1999 Jan 1, In : Communications in Algebra. 27, 8, p. 3823-3831 9 p.

Research output: Contribution to journalArticle

The Brun-Titchmarsh Theorem in Function Fields

Hsu, C. N., 1999 Nov 1, In : Journal of Number Theory. 79, 1, p. 67-82 16 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

Unified approaches to nonlinear optimization

Chu, L. J., 1999 Jan 1, In : Optimization. 46, 1, p. 25-60 36 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)
2000

Closure of periodic points over a non-archimedean field

Hsia, L. C., 2000 Dec, In : Journal of the London Mathematical Society. 62, 3, p. 685-700 16 p.

Research output: Contribution to journalArticle

50 Citations (Scopus)

Complete and reduced residue systems of second-order recurrences modulo p

Li, H-C., 2000 Jun 1, In : Fibonacci Quarterly. 38, 3, p. 272-281 10 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)

Conditions for the existence of generalized fibonacci primitive roots

Li, H. C., 2000 Jun 1, In : Fibonacci Quarterly. 38, 3, p. 244-249 6 p.

Research output: Contribution to journalArticle