1. In addition, he dealt with the geometry of numbers and Diophantine approximation . 2. Diophantine approximations also have important applications in the study of Diophantine equations.3. Sprindzuk's research deals with Diophantine approximation , Diophantine equations and transcendental numbers. 4. Also, it appears in the Hurwitz inequality for Diophantine approximations . 5. In mathematics, "'Roth's theorem "'is a fundamental result in diophantine approximation to algebraic numbers. 6. The field of Diophantine approximation deals with the cases of " Diophantine inequalities ". 7. :The name for this general topic is Diophantine approximation . 8. Later he moved into diophantine approximation and transcendental number theory, proving the Schneider Lang theorem. 9. The study of Diophantine Equations and Diophantine Approximations are still important areas of mathematical research today. 10. He was awarded the eighth Frank Nelson Cole Prize in Number Theory for work on Diophantine approximation .
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