Test vectors for linear forms

DOI10.1007/BF01445212zbMath0768.22004WikidataQ60395630 ScholiaQ60395630MaRDI QIDQ1191434

Dipendra Prasad, Gross, Benedict H.

Publication date: 27 September 1992

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164871

zbMATH Keywords

irreducible representationsautomorphic representationstest vector\(K^*\)-invariant linear forms

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (23)

Averages of central \(L\)-values of Hilbert modular forms with an application to subconvexity ⋮ Cuspidal part of an Eisenstein series restricted to an index 2 subfield ⋮ Central values of twisted base change \(L\)-functions associated to Hilbert modular forms ⋮ Test vectors and central \(L\)-values for \(\mathrm{GL}(2)\) ⋮ Unnamed Item ⋮ Test vectors for trilinear forms when at least one representation is not supercuspidal ⋮ Toric Periods and 𝑝-adic Families of Modular Forms of Half-Integral Weight ⋮ PERIOD IDENTITIES OF CM FORMS ON QUATERNION ALGEBRAS ⋮ Zeroes of quaternionic modular forms and central \(L\)-values ⋮ Whittaker newforms for archimedean representations of GL(2) ⋮ Special values of anticyclotomic \(L\)-functions modulo \(\lambda\) ⋮ Restrictions of Eisenstein series and Rankin-Selberg convolution ⋮ Waldspurger's period integral for newforms ⋮ A spectral identity for second moments of Eisenstein series of \(\mathrm{O}(n,1)\) ⋮ \(p\)-adic interpolation of automorphic periods for GL\(_2\) ⋮ Anticyclotomic \(p\)-adic \(L\)-functions for elliptic curves at some additive reduction primes ⋮ Torus period coefficients on \(\mathrm{PGL}(2)\) and Dirichlet series ⋮ Conductors and newforms for \(U(1,1)\) ⋮ Periods and liftings: From \(G_2\) to \(C_3\) ⋮ Sur le rang des courbes elliptiques sur les corps de classes de Hilbert ⋮ Some applications of Gelfand pairs to number theory ⋮ Some analytic aspects of automorphic forms on \(\mathrm{GL}(2)\) of minimal type ⋮ On the vanishing of Selmer groups for elliptic curves over ring class fields

Cites Work

• Decomposition of Eisenstein series: Rankin triple products
• On some results of Atkin and Lehner
• Automorphic forms on \(\mathrm{GL}(2)\). Part II
• Local ε-Factors and Characters of GL(2)
• Local Orders, Root Numbers, and Modular Curves
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Test vectors for linear forms