THE EULER BETA-FUNCTION, THE VANDERMONDE DETERMINANT, LEGENDRE'S EQUATION, AND CRITICAL VALUES OF LINEAR FUNCTIONS ON A CONFIGURATION OF HYPERPLANES. I

DOI10.1070/IM1990v035n03ABEH000717zbMath0709.33001OpenAlexW2061317567MaRDI QIDQ3491909

Alexander Varchenko

Publication date: 1990

Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im1990v035n03abeh000717

zbMATH Keywords

period matrix

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items

Hypergeometric integrals modulo \(p\) and Hasse-Witt matrices, Arrangements with one bounded component and \(p\)-adic integrals, Geometric \(q\)-hypergeometric functions as a bridge between Yangians and quantum affine algebras, The determinant formula for a matroid bilinear form, Twisted de Rham cohomology groups of logarithmic forms, Recent topics of arrangements of hyperplanes, 𝛽𝐧𝐛𝐜-bases for cohomology of local systems on hyperplane complements, Determinants of the hypergeometric period matrices of an arrangement and its dual, A Fuchsian matrix differential equation for Selberg correlation integrals, The determinant of a hypergeometric period matrix and a generalization of Selberg's integral, The determinant of a hypergeometric periodic matrix, The \(\mathbb{F}_p\)-Selberg integral of type \(A_n\), Très bonnes bases du réseau de Brieskorn d'un polynôme modéré, The number of critical points of a product of powers of linear functions, A Möbius identity arising from modularity in a matroid bilinear form, Hypergeometric integrals and arrangements, Determinant formulas for multidimensional hypergeometric period matrices