diophantine analysis การใช้

• The method for solving these equations is known as Diophantine analysis.
• His interests are in number theory, effective methods, Diophantine geometry and Diophantine analysis.
• It has been stated that this conjecture " is the most important unsolved problem in Diophantine analysis ".
• For example, Diophantine analysis and Galois theory when " t " is an algebraic number.
• The mathematical study of Diophantine problems that Diophantus initiated is now called "'Diophantine analysis " '.
• Rolle s fortune changed dramatically in 1682 when he published an elegant solution of a difficult, unsolved problem in Diophantine analysis.
• The book also contained results in linear diophantine analysis, decimal periods, combinations, and gave combinatorial significance to the digits of numbers written in decimal notation.
• While Rolle s fort?was always Diophantine analysis, his most important work was a book on the algebra of equations, called Trait?d alg鑒re, published in 1690.
• In other words, the general problem of Diophantine analysis is blessed or cursed with universality, and in any case is not something that will be solved except by re-expressing it in other terms.
• The three-volume " History of the Theory of Numbers " ( 1919 23 ) is still much consulted today, covering divisibility and primality, Diophantine analysis, and quadratic and higher forms.
• Today, Diophantine analysis is the area of study where integer ( whole-number ) solutions are sought for equations, and Diophantine equations are polynomial equations with integer coefficients to which only integer solutions are sought.
• Many famous conjectures and theorems in number theory would follow immediately from the " abc " conjecture . described the " abc " conjecture as " the most important unsolved problem in Diophantine analysis ".