Results 61 to 70 of about 13,363 (161)
On a variant of Pillai's problem involving <i>S</i>-units and Fibonacci numbers. [PDF]
Bol Soc Mat Mex, 2022 Ziegler V.
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Mixing Rates of the Geometrical Neutral Lorenz Model. [PDF]
J Stat Phys, 2023 Bruin H, Canales Farías HH.
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Finding all S-Diophantine quadruples for a fixed set of primes S. [PDF]
Mon Hefte Math, 2021 Ziegler V.
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Asymptotic Diophantine Approximations [PDF]
Proceedings of the National Academy of Sciences, 1966 openaire +2 more sources
Introduction to Diophantine Approximation
Formalized Mathematics, 2015 Abstract In this article we formalize some results of Diophantine approximation, i.e. the approximation of an irrational number by rationals. A typical example is finding an integer solution (x, y) of the inequality |xθ − y| ≤ 1/x, where 0 is a real number. First, we formalize some lemmas about continued fractions. Then we prove that the
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Summing μ ( n ) : a faster elementary algorithm. [PDF]
Res Number Theory, 2023 Helfgott HA, Thompson L.
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On prime powers in linear recurrence sequences. [PDF]
Ann Math Quebec, 2023 Odjoumani J, Ziegler V.
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Sequences of Diophantine approximations
Journal of Number Theory, 1974 AbstractWe sharpen a technique of Gelfond to show that, in a sense, the only possible gap-free sequences of “good” Diophantine approximations to a fixed α ∈ C are trivial ones. For example, suppose that a > 1 and that (δn)n=1∞ and (σn)n=1∞ are two positive, strictly increasing unbounded sequences satisfying δn+1 ≤ aδn and σn+1 ≤ aσn.
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A note on Diophantine approximation
International Journal of Mathematics and Mathematical Sciences, 2005 J. M. Almira +2 more
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Unconventional height functions in simultaneous Diophantine approximation. [PDF]
Mon Hefte Math, 2017 Fishman L, Simmons D.
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