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math.QAMar 1, 2001
21
citations (OpenAlex)
authors
  • Giovanni Felder
  • Laura Stevens
  • Alexander Varchenko
institutions
  • ETH Zurich
  • University of North Carolina at Chapel Hill
arXiv abstractPDF
paper

Elliptic Selberg integrals

arXiv:math/0103227

Abstract

We present an elliptic version of Selberg's integral formula.

3 pages, corrected sign error in Theorem 1

Cited by in corpus (11)

  • From 4d superconformal indices to 3d partition functions
  • Essays on the theory of elliptic hypergeometric functions
  • Orbifolds and Exact Solutions of Strongly-Coupled Matrix Models
  • Vanishing superconformal indices and the chiral symmetry breaking
  • New 2d N=(0,2) dualities from four dimensions
  • Elliptic beta integrals and solvable models of statistical mechanics
  • Basic Hypergeometric Functions as Limits of Elliptic Hypergeometric Functions
  • Elliptic hypergeometric functions associated with root systems
  • AFLT-type Selberg integrals
  • Introduction to the theory of elliptic hypergeometric integrals
  • Modular transformations of the elliptic hypergeometric functions, Macdonald polynomials, and the shift operator
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