◍wovepaper
SearchResearchersInstitutions
Sign in
math.CAJun 8, 2004
21
citations (OpenAlex)
authors
  • Kouichi Takemura
institutions
  • Yokohama City University
arXiv abstractPDF
paper

The Heun equation and the Calogero-Moser-Sutherland system IV: the Hermite-Krichever Ansatz

arXiv:math/0406141 · doi:10.1007/s00220-005-1359-9

Abstract

We develop a theory for the Hermite-Krichever Ansatz on the Heun equation. As a byproduct, we find formulae which reduce hyperelliptic integrals to elliptic ones.

arXiv comment34 pages

References in corpus (1)

  • The Heun equation and the Calogero-Moser-Sutherland system I: the Bethe Ansatz method

Cited by in corpus (8)

  • Integral representation of solutions to Fuchsian system and Heun's equation
  • The Heun equation and the Calogero-Moser-Sutherland system V: generalized Darboux transformations
  • Source identity and kernel functions for Inozemtsev-type systems
  • Exchange operator formalism for N-body spin models with near-neighbors interactions
  • Real-root property of the spectral polynomial of the Treibich-Verdier potential and related problems
  • Heun functions and diagonals of rational functions (unabridged version)
  • Series Solutions of the Non-Stationary Heun Equation
  • Jastrow-like ground states for quantum many-body potentials with near-neighbors interactions
◍wovepaper

Papers, researchers and institutions, woven together.

Explore
  • Search
  • Researchers
  • Institutions
Account
  • Library
  • Chat
Data
  • arXiv.org
  • Semantic Scholar
  • OpenAlex
  • Latest RSS
AboutContactPrivacyDevelopersllms.txtopenapi.json
Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.