Asymptotic Diophantine Approximations

Asymptotic Diophantine Approximations to

Asymptotic Diophantine Approximations to E

✍ William W. Adams 📂 Article 📅 1966 🏛 National Academy of Sciences 🌐 English ⚖ 386 KB

An Asymptotic Formula in Adele Diophanti

An Asymptotic Formula in Adele Diophantine Approximations

✍ Melvin M. Sweet 📂 Article 📅 1974 🏛 American Mathematical Society 🌐 English ⚖ 983 KB

Diophantine approximations

✍ Ivan Niven 📂 Library 📅 2008 🏛 Dover Publications 🌐 English ⚖ 540 KB

This self-contained treatment covers basic results on homogeneousapproximation of real numbers; the analogue for complex numbers; basic results for nonhomogeneous approximation in the real case; the analogue for complex numbers; and fundamental properties of the multiples of an irrational number, fo

Diophantine Approximations and Diophanti

Diophantine Approximations and Diophantine Equations

✍ Wolfgang M. Schmidt (auth.) 📂 Library 📅 1991 🏛 Springer 🌐 English ⚖ 7 MB

"This book by a leading researcher and masterly expositor of the subject studies diophantine approximations to algebraic numbers and their applications to diophantine equations. The methods are classical, and the results stressed can be obtained without much background in algebraic geometry. In part

Diophantine Approximations and Diophanti

Diophantine Approximations and Diophantine Equations

✍ Wolfgang M. Schmidt (auth.) 📂 Library 📅 1991 🏛 Springer 🌐 English ⚖ 1 MB

"This book by a leading researcher and masterly expositor of the subject studies diophantine approximations to algebraic numbers and their applications to diophantine equations. The methods are classical, and the results stressed can be obtained without much background in algebraic geometry. In part

Simultaneous Diophantine Approximation a

Simultaneous Diophantine Approximation and Asymptotic Formulae on Manifolds

✍ M.M. Dodson; B.P. Rynne; J.A.G. Vickers 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 714 KB

Let (r), r=1, 2, ... be a positive decreasing sequence such that r=1 (r) k diverges. Using a powerful variance argument due to Schmidt, an asymptotic formula is obtained for the number of integer solutions q of the system of Diophantine inequalities max[&qx i &: which holds for almost all points (x