Some multidimensional integrals in number theory and connections with the Painlevé V equation

DOI10.1063/1.5038658zbMath1444.11198arXiv1805.08811OpenAlexW3104406129MaRDI QIDQ4687683

Estelle L. Basor, Fan Ge, Michael O. Rubinstein

Publication date: 12 October 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.08811

zbMATH Keywords

Painlevé V equation

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Distribution functions associated with additive and positive multiplicative functions (11N60) Painlevé-type functions (33E17)

Related Items (9)

On the moments of the partition function of the \(C\beta E\) field ⋮ A COMBINATORIAL IDENTITY AND THE FINITE DUAL OF INFINITE DIHEDRAL GROUP ALGEBRA ⋮ Random matrix theory and moments of moments of L-functions ⋮ On the moments of moments of random matrices and Ehrhart polynomials ⋮ Variance of the $k$-fold divisor function in arithmetic progressions for individual modulus ⋮ On the moments of the moments of the characteristic polynomials of Haar distributed symplectic and orthogonal matrices ⋮ Preface: Introduction to special issue: In memory of Ludwig Faddeev ⋮ Moments of moments of characteristic polynomials of random unitary matrices and lattice point counts ⋮ The variance of the number of sums of two squares in [inline-graphic 01 [T] in short intervals]

Cites Work

• Unnamed Item
• Sums of divisor functions in \(\mathbb {F}_q[t\) and matrix integrals]
• Sums of Euler products and statistics of elliptic curves
• On the variance of sums of divisor functions in short intervals
• Time-Dependent Orthogonal Polynomials and Theory of Soliton –Applications to Matrix Model, Vertex Model and Level Statistics
• The kissing polynomials and their Hankel determinants
• Painlevé V and time-dependent Jacobi polynomials

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