Essential Whittaker functions for GL(n)

Abstract

We give a constructive proof of the essential Whittaker functions of GL(n,F) (also known as local new forms), using mirabolic restriction.

The paper in its published form in Doc. Math

References in corpus (1)

• Whittaker functions associated to newforms for GL(n) over p-adic fields

Cited by in corpus (14)

• Local newforms and formal exterior square L-functions
• Analytic newvectors for ${\mathrm{GL}}_n(\mathbb{R})$
• A class number formula for Picard modular surfaces
• Whittaker functions associated to newforms for GL(n) over p-adic fields
• Adjoint L-functions for GL(3) and U(2,1)
• Bounds for standard $L$-functions
• A remark on conductor, depth and principal congruence subgroups
• Test vectors for local cuspidal Rankin-Selberg integrals of GL(n), and reduction modulo $\ell$
• Nonvanishing of self-dual $L$-values via spectral decomposition of shifted convolution sums
• Test vectors for Rankin-Selberg $L$-functions
• Hecke-Maass cusp forms on PGL_n of large levels with non-vanishing L-values
• Signs, involutions and Jacquet modules
• Class group twists and Galois averages of ${\mathrm{GL}}_n$-automorphic $L$-functions
• Integral presentations of the shifted convolution problem and subconvexity estimates for ${\mathrm{GL}}_n$-automorphic $L$-functions