Values of certain Whittaker functions on a p-adic reductive group
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Publication:1165962
zbMath0488.22021MaRDI QIDQ1165962
Publication date: 1982
Published in: Illinois Journal of Mathematics (Search for Journal in Brave)
Eisenstein seriesprincipal series representationsexplicit calculationp-adic reductive groupEuler factors of Fourier coefficientsvalues of Whittaker functions
Theta series; Weil representation; theta correspondences (11F27) (p)-adic theory, local fields (11F85) Analysis on (p)-adic Lie groups (22E35)
Related Items (9)
Degenerate principal series representations for \(U(n,n)\) ⋮ Period of the Ikeda type lift for the exceptional group of type \(E_{7,3}\) ⋮ Special values of \(L\)-functions by a Siegel-Weil-Kudla-Rallis formula ⋮ Higher level cusp forms on exceptional group of type \(E_7\) ⋮ Theta dichotomy for unitary groups ⋮ A regularized Siegel-Weil formula on \(\text{U}(2,2)\) and \(\text{U}(3)\) ⋮ Poles of Eisenstein series on quaternion groups ⋮ Ramified degenerate principal series representations for \(Sp(n)\) ⋮ Weak Siegel-Weil formula for 𝕄₂(ℚ) and arithmetic on quaternions
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