Displaying similar documents to “When can the sum of ( 1 / p ) th of the binomial coefficients have closed form.”

A cohomological index of Fuller type for parameterized set-valued maps in normed spaces

Robert Skiba (2014)

Open Mathematics

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We construct a cohomological index of the Fuller type for set-valued flows in normed linear spaces satisfying the properties of existence, excision, additivity, homotopy and topological invariance. In particular, the constructed index detects periodic orbits and stationary points of set-valued dynamical systems, i.e., those generated by differential inclusions. The basic methods to calculate the index are also presented.

On Rowland's sequence.

Chamizo, Fernando, Raboso, Dulcinea, Ruiz-Cabello, Serafín (2011)

The Electronic Journal of Combinatorics [electronic only]

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The Hausdorff dimension of some special plane sets

Jan Mařík (1994)

Mathematica Bohemica

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A compact set T ⊂ 𝐑 2 is constructed such that each horizontal or vertical line intersects T in at most one point while the α -dimensional measure of T is infinite for every α ∈ ( 0 , 2 ) .

Endpoint bounds for convolution operators with singular measures

E. Ferreyra, T. Godoy, M. Urciuolo (1998)

Colloquium Mathematicae

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Let S ⊂ ℝ n + 1 be the graph of the function ϕ : [ - 1 , 1 ] n → ℝ defined by ϕ ( x 1 , ⋯ , x n ) = ∑ j = 1 n | x j | β j , with 1< β 1 ≤ ⋯ ≤ β n , and let μ the measure on ℝ n + 1 induced by the Euclidean area measure on S. In this paper we characterize the set of pairs (p,q) such that the convolution operator with μ is L p - L q bounded.