Results 141 to 150 of about 13,445 (181)

Diophantine approximation

1998
Abstract Dirichlet’s theorem. Khintchine’s theorem. The Duffin-Schaeffer results and conjecture. The Erdoős--Vaaler theorem. The zero-one laws of Cassels and Gallagher. CasselsΣ,-sequences. A crucial lemma ( Lemma 2.3). Overlap estimates. Reduction to GCD sums. Lacunary sequences.
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Diophantine approximation

2000
Abstract A vector (q, Pl, … , Pn) ∈ zn+l, q ≥ 1, is called an approximation of order η ifThe number η(x) defined bysup has infinitely many solutions} is called the Diophantine approximation exponent.
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Triangles in diophantine approximation

Journal of Number Theory, 2019
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Simultaneous asymptotic Diophantine approximations

Mathematika, 1967
Let θ 1 , …, θ k be k real numbers. Suppose ψ( t ) is a positive decreasing function of the positive variable t . Define λ( N ), for all positive integers N , to be the number of solutions in integers p 1 …, p k , q of the inequalities ...
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Diophantine approximation

2013
Hervé Queffélec, Martine Queffélec
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Simultaneous Diophantine Approximation

Journal of the London Mathematical Society, 1955
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Diophantine Approximation

2014
Junjiro Noguchi, Jörg Winkelmann
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The Computational Complexity of Simultaneous Diophantine Approximation Problems

SIAM Journal on Computing, 1985
Jeffrey C Lagarias
exaly  

Diophantine approximation and parametric geometry of numbers

Monatshefte Fur Mathematik, 2012
Wolfgang M Schmidt
exaly  

Inhomogeneous and simultaneous Diophantine approximation in beta dynamical systems

Journal of Mathematical Analysis and Applications, 2023
exaly