CHAPTER II

Abstrakty

EN

DIOPHANTINE ANALYSIS OF SECOND AND HIGHER DEGREES

§ 1. Diophantine equations of arbitrary degree and one unknown
§ 2. Problems concerning Diophantine equations of two or more unknowns
§ 3. The equation $x^2 + y^2 = z^2$
§ 4. Integral solutions of the equation $x^2 + y^2 = z^2$ for each x-y = ± 1
§ 5. Pythagorean triangles of the same area
§ 6. On squares whose sum and difference are squares
§ 7. The equation $x^4 + y^4 = z^2$
§ 8. On three squares for which the sum of any two is a square
§ 9. Congruent numbers
§ 10. The equation $x^2 + y^2 + z^2 = t^2$
§ 11. The equation xy = zt
§ 12. The equation $x^4 - x^2y^2 + y^4 = z^2$
§ 13. The equation $x^4+9x^2y^2 + 27y^4 = z^2
§ 14. The equation $x^3 + y^3 = 2z^3$
§ 15. The equation $x^3 + y^3 = az^3$ with a>2
§ 16. Triangular numbers
§ 17. The equation $x^2 - Dy^2 = 1$
§ 18. The equations $x^2 + k = y^3$ where k is an integer
§ 19. On some exponential equations and others

Twórcy

• Książka: Elementary theory of numbers
• Kolekcja: DML-PL