The second moment of the symmetric square -functions.
Iwaniec, H., Michel, P. (2001)
Annales Academiae Scientiarum Fennicae. Mathematica
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Iwaniec, H., Michel, P. (2001)
Annales Academiae Scientiarum Fennicae. Mathematica
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Friedlander, John, Iwaniec, Henryk (1998)
Annals of Mathematics. Second Series
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Jutila, M. (1999)
Publications de l'Institut Mathématique. Nouvelle Série
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Ginzburg, David, Rallis, Stephen, Soudry, David (1999)
Annals of Mathematics. Second Series
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M. N. Huxley (1985)
Banach Center Publications
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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.
Henryk Iwaniec (1990)
Acta Arithmetica
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R. W. K. Odoni (2002)
Acta Arithmetica
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André Unterberger (1999)
Journées équations aux dérivées partielles
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Taking advantage of methods originating with quantization theory, we try to get some better hold - if not an actual construction - of Maass (non-holomorphic) cusp-forms. We work backwards, from the rather simple results to the mostly devious road used to prove them.
Arnold Pizer (1980)
Compositio Mathematica
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Ramakrishnan, Dinakar (2000)
Annals of Mathematics. Second Series
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Lewis, J., Zagier, D. (2001)
Annals of Mathematics. Second Series
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