AbstractWe prove: The inequalitye−pq≥c1loglogqq2logqholds for all positive integerspandqwithq⩾2, if and only ifc1⩽0.386249199819…. And, the reverse inequalitye−pq<c2loglogqq2logqhas infinitely many solutions in integersp,q, if and only ifc2⩾1/2
The height of a rational number p/q is defined by max(|p|,|q|) provided p/q is written in lowest ter...
The height of a rational number p/q is defined by max(|p|,|q|) provided p/q is written in lowest ter...
AbstractLet n1 < n2 < … be an infinite sequence of integers. The necessary and sufficient condition ...
The greatest lower bound (in fact, [Formula Omitted]) is found of constants k such that [Formula Omi...
In this article we formalize some results of Diophantine approximation, i.e. the approximation of an...
Suppose that λ1, λ2, λ3, λ4, λ5 are nonzero real numbers, not all of the same sign, λ1/λ2 is irratio...
AbstractLet n be an integer ≥ 1 and let θ be a real number which is not an algebraic number of degre...
AbstractIt is shown that, if ψ(n) is a real function with 0 < ψ(n) < 12, and satisfies a simple regu...
The last decades have seen exciting new advances in diophantine approximation. On the other hand, an...
AbstractIt is shown that an approximation of e−x on [0, ∞) by rational functions of degree n cannot ...
AbstractLower bounds are obtained on the simultaneous diophantine approximation of some values of ce...
AbstractIt is shown that, if ψ(n) is a real function with 0 < ψ(n) < 12, and satisfies a simple regu...
Let $1<14/5$, $lambda_1,lambda_2,lambda_3$ and $lambda_4$ be non-zero real numbers, not all of th...
Abstract. Let Rn (n = 0, 1, 2,...) be a second order linear recursive se-quence of rational integers...
Let k be an integer with 4≤k≤6 and η be any real number. Suppose that λ1,λ2,…,λ5 are nonzero real nu...
The height of a rational number p/q is defined by max(|p|,|q|) provided p/q is written in lowest ter...
The height of a rational number p/q is defined by max(|p|,|q|) provided p/q is written in lowest ter...
AbstractLet n1 < n2 < … be an infinite sequence of integers. The necessary and sufficient condition ...
The greatest lower bound (in fact, [Formula Omitted]) is found of constants k such that [Formula Omi...
In this article we formalize some results of Diophantine approximation, i.e. the approximation of an...
Suppose that λ1, λ2, λ3, λ4, λ5 are nonzero real numbers, not all of the same sign, λ1/λ2 is irratio...
AbstractLet n be an integer ≥ 1 and let θ be a real number which is not an algebraic number of degre...
AbstractIt is shown that, if ψ(n) is a real function with 0 < ψ(n) < 12, and satisfies a simple regu...
The last decades have seen exciting new advances in diophantine approximation. On the other hand, an...
AbstractIt is shown that an approximation of e−x on [0, ∞) by rational functions of degree n cannot ...
AbstractLower bounds are obtained on the simultaneous diophantine approximation of some values of ce...
AbstractIt is shown that, if ψ(n) is a real function with 0 < ψ(n) < 12, and satisfies a simple regu...
Let $1<14/5$, $lambda_1,lambda_2,lambda_3$ and $lambda_4$ be non-zero real numbers, not all of th...
Abstract. Let Rn (n = 0, 1, 2,...) be a second order linear recursive se-quence of rational integers...
Let k be an integer with 4≤k≤6 and η be any real number. Suppose that λ1,λ2,…,λ5 are nonzero real nu...
The height of a rational number p/q is defined by max(|p|,|q|) provided p/q is written in lowest ter...
The height of a rational number p/q is defined by max(|p|,|q|) provided p/q is written in lowest ter...
AbstractLet n1 < n2 < … be an infinite sequence of integers. The necessary and sufficient condition ...
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