The $L^2$ restriction norm of a $GL_3$ Maass form

M. Kac, Can one hear the shape of a drum?

1966

Earlier work this paper cites.

P. X. Gallagher, A large sieve density estimate near σ = 1 \sigma=1

1970

Earlier work this paper cites.

S. Gelbart and H. Jacquet, A relation between automorphic representations of GL ⁡ ( 2 ) {\rm GL}(2) and GL ⁡ ( 3 ) {\rm GL}(3)

1978

Earlier work this paper cites.

H. Jacquet, I. Piatetski-Shapiro, J. Shalika, Automorphic forms on GL ⁡ ( 3 ) {\rm GL}(3) . I., II

1979

Earlier work this paper cites.

H. Iwaniec, Fourier coefficients of cusp forms and the Riemann zeta-function

1980

Earlier work this paper cites.

H. Jacquet, I. Piatetski-Shapiro, J. Shalika, Rankin-Selberg convolutions

1983

Earlier work this paper cites.

E. C. Titchmarsh, The Theory of the Riemann Zeta-function . Second edition. Edited and with a preface by D. R. Heath-Brown. The Clarendon Press, Oxford University Press, New York, 1986

1986

Earlier work this paper cites.

D. Bump, Barnes’ second lemma and its application to Rankin-Selberg convolutions

1988

Earlier work this paper cites.

H. Iwaniec, Small eigenvalues of Laplacian for Γ 0 ​ ( N ) \Gamma_{0}(N)

1990

Earlier work this paper cites.

E. Stade, On explicit integral formulas for GL ⁡ ( n , R ) {\rm GL}(n,R) -Whittaker functions

1990

Earlier work this paper cites.

B. Gross and D. Prasad On the decomposition of a representation of SO n {\rm SO}_{n} when restricted to SO n − 1 {\rm SO}_{n-1}

1992

Earlier work this paper cites.

E. Stade, Hypergeometric series and Euler factors at infinity for L L -functions on GL ⁡ ( 3 , 𝐑 ) × GL ⁡ ( 3 , 𝐑 ) {\rm GL}(3,\mathbf{R})\times{\rm GL}(3,\mathbf{R})

1993

Earlier work this paper cites.

J. Hoffstein and P. Lockhart, Coefficients of Maass forms and the Siegel zero

1994

Earlier work this paper cites.

Z. Rudnick and P. Sarnak, The behaviour of eigenstates of arithmetic hyperbolic manifolds

1994

Cited alongside, same era.

H. Iwaniec and P. Sarnak, L ∞ L^{\infty} norms of eigenfunctions of arithmetic surfaces

1995

Cited alongside, same era.

Z. Rudnick and P. Sarnak, Zeros of principal L L -functions and random matrix theory

1996

Cited alongside, same era.

Y. Motohashi, Spectral theory of the Riemann zeta-function

1997

Cited alongside, same era.

Gradshteyn, I. S.; Ryzhik, I. M. Table of Integrals, Series, and Products

2000

Cited alongside, same era.

S. D. Miller, On the existence and temperedness of cusp forms for SL 3 ​ ( ℤ ) {\rm SL}_{3}({\mathbb{Z}})

2001

Cited alongside, same era.

P. Sarnak, Letter to Morawetz

2004

Later among the works it cites.

D. Goldfeld, Automorphic forms and L L -functions for the group GL ⁡ ( n , ℝ ) {\rm GL}(n,\mathbb{R})

2006

Later among the works it cites.

D. Goldfeld and X. Li, Voronoi formulas on GL ⁡ ( n ) {\rm GL}(n)

2006

Later among the works it cites.

D. Goldfeld and M. Thillainatesan, Rank lowering linear maps and multiple Dirichlet series associated to GL ⁡ ( n , ℝ ) {\rm GL}(n,{\mathbb{R}})

2006

Later among the works it cites.

S. D. Miller and W. Schmid, Automorphic distributions, L L -functions, and Voronoi summation for GL ⁡ ( 3 ) {\rm GL}(3)

2006

Later among the works it cites.

N. Burq, P. Gérard, N. Tzvetkov, Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds