On effective determination of symmetric-square lifts

Qingfeng Sun

Displaying similar documents to “On effective determination of symmetric-square lifts”

A larger GL 2 large sieve in the level aspect

Goran Djanković (2012)

Open Mathematics

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In this paper we study the orthogonality of Fourier coefficients of holomorphic cusp forms in the sense of large sieve inequality. We investigate the family of GL 2 cusp forms modular with respect to the congruence subgroups Γ1(q), with additional averaging over the levels q ∼ Q. We obtain the orthogonality in the range N ≪ Q 2−δ for any δ > 0, where N is the length of linear forms in the large sieve.

Modular forms of weight 1/2 over class number 1 imaginary quadratic number fields

David Gove (1993)

Acta Arithmetica

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The number of representations by sums of squares and triangular numbers.

Lam, Heung Yeung (2007)

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Global $L$ -packets for GSp(2) and theta lifts.

Roberts, Brooks (2001)

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Fourier expansion along geodesics on Riemann surfaces

Anton Deitmar (2014)

Open Mathematics

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For an eigenfunction of the Laplacian on a hyperbolic Riemann surface, the coefficients of the Fourier expansion are described as intertwining functionals. All intertwiners are classified. A refined growth estimate for the coefficients is given and a summation formula is proved.

The second moment of the symmetric square $L$ -functions.

Iwaniec, H., Michel, P. (2001)

Annales Academiae Scientiarum Fennicae. Mathematica

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Higher order invariants in the case of compact quotients

Anton Deitmar (2011)

Open Mathematics

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We present the theory of higher order invariants and higher order automorphic forms in the simplest case, that of a compact quotient. In this case, many things simplify and we are thus able to prove a more precise structure theorem than in the general case.