Have a personal or library account? Click to login
Lagrange’s Four-Square Theorem Cover
Open Access
|Jun 2014

References

  1. [1] Alan Baker. A Concise Introduction to the Theory of Numbers. Cambridge University Press, 1984.10.1017/CBO9781139171601
  2. [2] Grzegorz Bancerek. Cardinal numbers. Formalized Mathematics, 1(2):377–382, 1990.
  3. [3] Grzegorz Bancerek. Cardinal arithmetics. Formalized Mathematics, 1(3):543–547, 1990.
  4. [4] Grzegorz Bancerek. The fundamental properties of natural numbers. Formalized Mathematics, 1(1):41–46, 1990.
  5. [5] Grzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91–96, 1990.
  6. [6] Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Formalized Mathematics, 1(1):107–114, 1990.
  7. [7] Czesław Byliński. The complex numbers. Formalized Mathematics, 1(3):507–513, 1990.
  8. [8] Czesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1): 55–65, 1990.
  9. [9] Czesław Byliński. Functions from a set to a set. Formalized Mathematics, 1(1):153–164, 1990.
  10. [10] Czesław Byliński. Partial functions. Formalized Mathematics, 1(2):357–367, 1990.
  11. [11] Czesław Byliński. Some basic properties of sets. Formalized Mathematics, 1(1):47–53, 1990.
  12. [12] Agata Darmochwał. Finite sets. Formalized Mathematics, 1(1):165–167, 1990.
  13. [13] Yoshinori Fujisawa, Yasushi Fuwa, and Hidetaka Shimizu. Public-key cryptography and Pepin’s test for the primality of Fermat numbers. Formalized Mathematics, 7(2):317–321, 1998.
  14. [14] G.H. Hardy and E.M. Wright. An Introduction to the Theory of Numbers. Oxford University Press, 1980.
  15. [15] Artur Korniłowicz and Piotr Rudnicki. Fundamental Theorem of Arithmetic. Formalized Mathematics, 12(2):179–186, 2004.
  16. [16] Rafał Kwiatek. Factorial and Newton coefficients. Formalized Mathematics, 1(5):887–890, 1990.
  17. [17] Rafał Kwiatek and Grzegorz Zwara. The divisibility of integers and integer relatively primes. Formalized Mathematics, 1(5):829–832, 1990.
  18. [18] Xiquan Liang, Li Yan, and Junjie Zhao. Linear congruence relation and complete residue systems. Formalized Mathematics, 15(4):181–187, 2007. doi:10.2478/v10037-007-0022-7.10.2478/v10037-007-0022-7
  19. [19] Piotr Rudnicki and Andrzej Trybulec. Abian’s fixed point theorem. Formalized Mathematics, 6(3):335–338, 1997.
  20. [20] Christoph Schwarzweller. Modular integer arithmetic. Formalized Mathematics, 16(3): 247–252, 2008. doi:10.2478/v10037-008-0029-8.10.2478/v10037-008-0029-8
  21. [21] Michał J. Trybulec. Integers. Formalized Mathematics, 1(3):501–505, 1990.
  22. [22] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67–71, 1990.
  23. [23] Hideo Wada. The World of Numbers (in Japanese). Iwanami Shoten, 1984.
  24. [24] Edmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1 (1):73–83, 1990.
  25. [25] Edmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181–186, 1990.
DOI: https://doi.org/10.2478/forma-2014-0012 | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630
Language: English
Page range: 105 - 110
Submitted on: Jun 4, 2014
|
Published on: Jun 30, 2014
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2014 Yasushige Watase, published by University of Białystok
This work is licensed under the Creative Commons Attribution-ShareAlike 3.0 License.