Dissertation > Excellent graduate degree dissertation topics show

Several Special Kinds of Indeterminate Equations Study

Author: GaoZuoZuo
Tutor: GuoJinBao
School: Yan'an University
Course: Basic mathematics
Keywords: Indeterminate equation Integer solution Congruence Recursive sequences Algebraic Number Theory
CLC: O156.1
Type: Master's thesis
Year: 2010
Downloads: 155
Quote: 0
Read: Download Dissertation

Abstract


Diophantine equation Diophantine equations known , is a very important number theory research , which results not only on the development of various branches of mathematics plays an important role , but also for other non-mathematical disciplines ( such as physics , economics ) research have significant application value , therefore, is one of many mathematical indefinite equation has been the object of research workers enthusiastic . indefinite equation is an ancient Diophantine problem, apply elementary methods to solve more difficult ; many ways seem simple , but it is not easy to think of . this elementary and higher utilization methods, several special class of indefinite equation integer solution issues. mainly includes the following three aspects: 1 . introduces indefinite equation x3 ± 1 = Dyn research progress, and use recursive sequences , congruence theory proved diophantine equation x3-1 = 65y2 only integer solution (x, y) = (1,0) .2. introduced indefinite equation x3 ± B = Dyn Recent development and use algebraic number theory to study the uncertain equation x3 13 = y2 situation .3 integer solution is introduced indefinite equation Ax2 B = Cyn Recent development and utilization of elementary number theory and algebraic number theory to study the indefinite equation x2 4 = y5, x2 64 = y5 and x2 64 = y7 integer solution conditions .

Related Dissertations

  1. Some Studies About Semirings,O153.3
  2. Research on the Relation between University Students’ Self Consistency and Congruence and Life Meaning,B844.2
  3. The Characterization of Congruences on Inverse Semirings,O153.3
  4. Ockham Algebras with Double Demi-pseudocomplementation and Others,O153.2
  5. Study of Image Encryption with the Fractional Fourier Transform,TP309.7
  6. On the Diophantine Equation (a~n-1) (b~n-1)=x~2,O156.1
  7. Having the nature of semigroups split several studies,O152.7
  8. Some Studies on Semi-algebras,O153.3
  9. Survey on Postgraduate Students’ Self Consistency Congruence Status and Regression Study between SCC and SWB,B844.2
  10. Some finite tree automata promotion,TP301.1
  11. Modular Forms and Constructions,O153.3
  12. An Study of Relationship on Parenting Rearing Styles and Self-Focused Attention to the Self Consistency and Congruence of College Student,B844.2
  13. The several cell value automata minimize algorithm,TP301.1
  14. Some Studies of Congruences on Semigroups,O152.7
  15. Green Relations and Congruences on Semigroup,O152.7
  16. A Research on the Factors of Supply Chain Collaboration Operational Performance,F274
  17. The Structure of Some Bi-Semirings,O153.3
  18. Research on the types of integer solutions of Diophantine equations,O156.1
  19. Smarandache function equation solvability problem,O156
  20. About Euler Function and Mean problem Smarandache function,O156.4

CLC: > Mathematical sciences and chemical > Mathematics > Algebra,number theory, portfolio theory > Number Theory > Elementary Number Theory
© 2012 www.DissertationTopic.Net  Mobile