Skip to main content
Log in

On non-decomposable Hermitian forms over Gaussian domain

  • Published:
Acta Mathematica Sinica Aims and scope Submit manuscript

Abstract

Methods are presented for the construction of non-decomposable Hermitian forms over the ring of integers of an imaginary quadratic field.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Zhu Fuzu. On non-decomposability and indecomposability of quadratic forms. Sci Sinica Ser A, 1988, 31(3): 265–273

    MATH  MathSciNet  Google Scholar 

  2. Zhu Fuzu. An existence theorem on positive definite unimodular even Hermitian forms and its generalization. (in Chinese) Chinese Ann of Math, Ser A, 1984, 5(3): 313–320

    MATH  Google Scholar 

  3. Zhu Fuzu. On the construction of positive definite indecomposable unimodular even Hermitian forms. J Number Theory, 1995, 50(2): 318–322

    Article  MATH  MathSciNet  Google Scholar 

  4. Zhu Fuzu. On the construction of indecomposable positive definite unimodular Hermitian forms. Sci in China Ser A, 1992, 35(8): 917–930

    MATH  Google Scholar 

  5. Zhu Fuzu. On indecomposable positive definite unimodular Hermitian forms. in Algebraic Geometry and Algbraic Number Theory, Singapore: World Scientific, 1992, 200–216

    Google Scholar 

  6. Zhu Fuzu. On indecomposable definite unimodular Hermitian forms. Acta Math Sinica New Ser, 1994, 10(2): 113–120

    Article  MATH  Google Scholar 

  7. Zhu Fuzu. Construction of indecomposable definite Hermitian forms. Chinese Sci Bull, 1995, 40(3): 177–181

    MATH  MathSciNet  Google Scholar 

  8. Zhu Fuzu. On the class numbers of positive definite Hermitian forms. J East China Normal Univ (in Chinese), (Nat Sci Edi), 1982, 2: 1–13

    Google Scholar 

  9. Zhu Fuzu. On the classification of positive definite unimodular Hermitian forms. (in Chinese) Chinese Ann of math, Ser A, 1991, 12(6): 720–730

    MATH  Google Scholar 

  10. Zhu Fuzu. Construction of indecomposable definite Hermitian forms. Chinese Ann of Math Ser B, 1994. 15(3): 349–360

    MATH  Google Scholar 

  11. Erdös P, Ko C. On definite quadratic forms, which are not the sum of two definite or semi-definite forms. Acta Arith, 1939, 3(1): 102–122

    Google Scholar 

  12. O'Meara OT. Introduction to Quadratic Forms. Berlin: Springer-Verlag, 1963

    MATH  Google Scholar 

  13. Zhu Fuzu. On nondecomposable positive definite Hermitian forms over imaginary quadratic fields. Acta Arithmetica, to appear

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fuzu, Z. On non-decomposable Hermitian forms over Gaussian domain. Acta Mathematica Sinica 14, 447–456 (1998). https://doi.org/10.1007/BF02580401

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02580401

Keywords

1991MR Subject Classification

Chinese Library Classification

Navigation