Multiple sine functions and Selberg zeta functions
From MaRDI portal
Publication:1180780
DOI10.3792/pjaa.67.61zbMath0738.11041OpenAlexW2061922573MaRDI QIDQ1180780
Publication date: 27 June 1992
Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3792/pjaa.67.61
symmetric spaceshyperbolic spacemultiple gamma functionpolylogarithm functionmultiple sine functionsSelberg-Gangolli-Wakayama zeta functions
(zeta (s)) and (L(s, chi)) (11M06) Other Dirichlet series and zeta functions (11M41) Determinants and determinant bundles, analytic torsion (58J52) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)
Related Items
Check-operators and quantum spectral curves ⋮ On a Gopakumar-Vafa form of partition function of Chern-Simons theory on classical and exceptional lines ⋮ Gamma factors and Plancherel measures ⋮ Seifert fibering operators in 3d \( \mathcal{N}=2 \) theories ⋮ 5d partition functions with a twist ⋮ Gamma and sine functions for Lie groups and period integrals ⋮ GENERALIZED MAHLER MEASURES AND MULTIPLE SINE FUNCTIONS ⋮ Shintani's prehomogeneous zeta functions and multiple sine functions ⋮ Values of the double sine function ⋮ On a \(q\)-analogue of the multiple gamma functions ⋮ Localization on three-dimensional manifolds ⋮ The star-triangle relation, lens partition function, and hypergeometric sum/integrals ⋮ Two-component Yang-Baxter maps and star-triangle relations ⋮ Multiple gamma functions, multiple sine functions, and Appell's \(O\)-functions ⋮ Multiple gamma function, its \(q\)- and elliptic analogue. ⋮ Unnamed Item ⋮ Duplication formulas in triple trigonometry ⋮ On topological field theory representation of higher analogs of classical special functions ⋮ Spectral analysis and zeta determinant on the deformed spheres ⋮ Euler’s integrals and multiple sine functions ⋮ On Barnes' multiple zeta and gamma functions ⋮ The modular properties and the integral representations of the multiple elliptic gamma functions ⋮ Derivatives of multiple sine functions ⋮ Beta pentagon relations ⋮ Absolute multiple sine functions ⋮ Elliptic factors of Selberg zeta functions ⋮ Elliptic factors of Selberg zeta functions ⋮ Cyclotomy and endomotives ⋮ Extensions of zeta functions -- examples and a study of the double sine functions ⋮ Generalized volume conjecture and the \(A\)-polynomials: The Neumann-Zagier potential function as a classical limit of the partition function ⋮ S-duality as a \(\beta\)-deformed Fourier transform ⋮ Multiple gamma functions and multiple \(q\)-gamma functions ⋮ On q-Basic Multiple Gamma Functions ⋮ A note on q-Bernoulli numbers and polynomials ⋮ Unit circle elliptic beta integrals ⋮ On Cramér's theorem for general Euler products with functional equation
Cites Work
