Results 51 to 60 of about 175 (143)

Cubic diophantine inequalities for split forms [PDF]

Monatshefte für Mathematik, 2014
Denote by $s_0^{(r)}$ the least integer such that if $s \ge s_0^{(r)}$, and $F$ is a cubic form with real coefficients in $s$ variables that splits into $r$ parts, then $F$ takes arbitrarily small values at nonzero integral points. We bound $s_0^{(r)}$ for $r \le 6$.
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On a variant of Pillai's problem involving <i>S</i>-units and Fibonacci numbers. [PDF]

Bol Soc Mat Mex, 2022
Ziegler V.
europepmc   +1 more source

Transference inequalities for multiplicative diophantine exponents [PDF]

Proceedings of the Steklov Institute of Mathematics, 2011
In this paper we prove inequalities for multiplicative analogues of Diophantine exponents, similar to the ones known in the classical case. Particularly, we show that a matrix is badly approximable if and only if its transpose is badly approximable and establish some inequalities connecting multiplicative exponents with ordinary ones.
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A system of two Diophantine inequalities with primes

RAIRO - Theoretical Informatics and Applications
Let k ≥ 7 be fixed, and v = (55 k + 556)/(26 k + 672),1 < d < c <
Yanjun Dong, Qian Wang
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Additive Diophantine inequalities with mixed powers II

Mathematika, 1987
Let \(1\leq k_ 1\leq k_ 2...\leq k_ s\) be integers. The author considers the following, so-called inequality problem for \(k_ 1,...,k_ s:\) is it true, that for every s-tuple of non-zero real numbers \((\lambda_ 1,...,\lambda_ s)\) such that at least one quotient \(\lambda_ i/\lambda_ j\) is irrational, the values assumed by \(\sum^{s}_{i=1}\lambda_ ...
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Counting Real Roots in Polynomial-Time via Diophantine Approximation. [PDF]

Found Comut Math, 2022
Rojas JM.
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Diophantine inequalities with mixed powers, II

Journal of Number Theory, 1979
AbstractIt is shown that if λ1, …, λ5 are non-zero real numbers, not all of the same sign, and at least one of the ratios λiλj (1 ≤ j ≤ 3) is irrational then the values taken by λ1x12 + λ2x22 + λ3x32 + λ4x43 + λ5x53 for integer values of x1, …, x5 are everywhere dense on the real line.
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On prime powers in linear recurrence sequences. [PDF]

Ann Math Quebec, 2023
Odjoumani J, Ziegler V.
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Random walks on the circle and Diophantine approximation. [PDF]

J Lond Math Soc, 2023
Berkes I, Borda B.
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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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