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<p>We use the elliptic interpolation kernel due to the second author to prove an <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="365_2025_9705_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="22" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mathrm A_n\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi mathvariant="normal">A</mi> <mi>n</mi> </msub> </math></EquationSource> </InlineEquation> extension of the elliptic Selberg integral. More generally, we obtain elliptic analogues of the <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="365_2025_9705_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="22" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mathrm A_n\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi mathvariant="normal">A</mi> <mi>n</mi> </msub> </math></EquationSource> </InlineEquation> Kadell, Hua–Kadell and Alba–Fateev–Litvinov–Tarnopolsky (or AFLT) integrals.</p>

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Elliptic \(\mathrm A_n\) Selberg Integrals

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年5月23日

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  • Seamus P. Albion,
  • Eric M. Rains,
  • S. Ole Warnaar

摘要

We use the elliptic interpolation kernel due to the second author to prove an \(\mathrm A_n\) A n extension of the elliptic Selberg integral. More generally, we obtain elliptic analogues of the \(\mathrm A_n\) A n Kadell, Hua–Kadell and Alba–Fateev–Litvinov–Tarnopolsky (or AFLT) integrals.