A computation of the gamma matrix of a family of \(p\)-adic zeta integrals

DOI10.1006/jnth.1995.1139zbMath0862.14015OpenAlexW2056312134MaRDI QIDQ1907844

W. Jay jun. Sweet

Publication date: 18 March 1996

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1995.1139

zbMATH Keywords

prehomogeneous vector spacesnon-archimedean fieldzeta integraltheta liftssymmetric matrix space

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Local ground fields in algebraic geometry (14G20) Zeta functions and (L)-functions (11S40)

Related Items (15)

Degenerate principal series representations for \(U(n,n)\) ⋮ On the functional equation of the Siegel series ⋮ A short proof for the relation between Weil indices and 𝜖-factors ⋮ The generalized doubling method: local theory ⋮ Cycles on Siegel threefolds and derivatives of Eisenstein series ⋮ Theta dichotomy for unitary groups ⋮ Formal degrees and local theta correspondence ⋮ The regularized Siegel-Weil formula (the second term identity) and the Rallis inner product formula ⋮ \(L\)-functions and theta correspondence for classical groups ⋮ Siegel series for skew Hermitian forms over quaternion algebras ⋮ Siegel Eisenstein series of degree \(n\) and \(\lambda\)-adic Eisenstein series ⋮ Degenerate principal series representations for quaternionic unitary groups ⋮ Tate \(\gamma \)-factor, Weil index, and the metaplectic \(\widetilde{\gamma} \)-factor ⋮ Ordinary families of Klingen Eisenstein series on symplectic groups ⋮ Local Coefficients and Gamma Factors for Principal Series of Covering Groups

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