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<p>We develop a method to derive the first term identities for Eisenstein series, inspired by Langlands’ ideas on the spectral decomposition of automorphic forms, specifically for the exceptional group <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(G_{2}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>G</mi> <mn>2</mn> </msub> </math></EquationSource> </InlineEquation>.</p>

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On first term identities for G\(_{{\textbf {2}}}\)

  • 期刊论文

  • 发表日期：

    2026年4月9日

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  • Devadatta G Hegde

摘要

We develop a method to derive the first term identities for Eisenstein series, inspired by Langlands’ ideas on the spectral decomposition of automorphic forms, specifically for the exceptional group \(G_{2}\) G 2 .