1. Diophantine approximations also have important applications in the study of Diophantine equations . 2. It also gave the modern standard algorithm for solving first-order diophantine equations . 3. Algebra also studies Diophantine equations where the coefficients and solutions are integers. 4. Sprindzuk's research deals with Diophantine approximation, Diophantine equations and transcendental numbers. 5. I note the ancients talk of Diophantine equations and explored relatively intricate problems. 6. They contain lists of Pythagorean triples, which are particular cases of Diophantine equations . 7. Diophantine equations . talk ) 17 : 41, 7 March 2014 ( UTC)8. Is an example of a Diophantine equation with a parameter. 9. Generally, they are used in finding solutions of diophantine equations or to factor numbers. 10. Hermite normal form may also be used for solving systems of linear Diophantine equations .
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