Results 41 to 50 of about 713,685 (358)
On the number of partitions of a number into distinct divisors [PDF]
Notes on Number Theory and Discrete MathematicsLet p_{dsd}(n) be the number of partitions of n into distinct squarefree divisors of n. In this note, we find a lower bound for p_{dsd}(n), as well as a sequence of n for which p_{dsd} (n) is unusually large.
Noah Lebowitz-Lockard, Joseph Vandehey
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Asymptotics for Solutions of Harmonic Oscillator with Integral Perturbation
Моделирование и анализ информационных систем, 2017 We construct the asymptotics for solutions of a harmonic oscillator with integral perturbation when the independent variable tends to infinity. The specific feature of the considered integral perturbation is an oscillatory decreasing character of its ...
Pavel N. Nesterov
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On the cardinality of layers in some partially ordered sets
Учёные записки Казанского университета: Серия Физико-математические науки, 2020 In this paper, we explicitly calculated additional terms of cardinality asymptotics of layers in the n-dimensional k-valued lattice Enk for odd k as n → ∞. The main term had been previously determined by V.B.
T.V. Andreeva, Yu.S. Semenov
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Indecomposable permutations with a given number of cycles [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 A permutation $a_1a_2 \ldots a_n$ is $\textit{indecomposable}$ if there does not exist $p \lt n$ such that $a_1a_2 \ldots a_p$ is a permutation of $\{ 1,2, \ldots ,p\}$.
Robert Cori, Claire Mathieu
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Asymptotics of a class of Fredholm determinants
, 1998 In this expository article we describe the asymptotics of certain Fredholm determinants which provide solutions to the cylindrical Toda equations, and we explain how these asymptotics are derived.
Tracy, Craig A., Widom, Harold
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On Magnitude, Asymptotics and Duration of Drawdowns for Levy Models [PDF]
, 2015 This paper considers magnitude, asymptotics and duration of drawdowns for some Levy processes. First, we revisit some existing results on the magnitude of drawdowns for spectrally negative Levy processes using an approximation approach.
D. Landriault, Bin Li, Hongzhong Zhang
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Fisher-Hartwig conjecture and the correlators in XY spin chain
, 2005 We apply the theorems from the theory of Toeplitz determinants to calculate the asymptotics of the correlators in the XY spin chain in the transverse magnetic field.
A.A. Ovchinnikov +12 more
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Structural Mechanics of Engineering Constructions and Buildings, 2020 The aim of the work - to propose a scheme and analytical calculation of a statically definable planar truss with a suspended lower belt. Methods. The formula for the dependence of the deflection of the truss under the action of a uniform load on the ...
Mikhail N. Kirsanov
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Asymptotics of block Toeplitz determinants and the classical dimer model
, 2006 We compute the asymptotics of a block Toeplitz determinant which arises in the classical dimer model for the triangular lattice when considering the monomer-monomer correlation function.
A. Borodin +21 more
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High-temperature asymptotics of supersymmetric partition functions [PDF]
, 2015 A bstractWe study the supersymmetric partition function of 4d supersymmetric gauge theories with a U(1) R-symmetry on Euclidean S3 × Sβ1, with S3 the unit-radius squashed three-sphere, and β the circumference of the circle.
Arash Arabi Ardehali
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