@article{bwmeta1.element.bwnjournal-article-aav70i4p377bwm, author = {Wenzhi Luo}, title = {The spectral mean value for linear forms in twisted coefficients of cusp forms}, journal = {Acta Arithmetica}, volume = {69}, year = {1995}, pages = {377-391}, zbl = {0821.11035}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav70i4p377bwm} }
Wenzhi Luo. The spectral mean value for linear forms in twisted coefficients of cusp forms. Acta Arithmetica, Tome 69 (1995) pp. 377-391. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav70i4p377bwm/
[000] [1] J.-M. Deshouillers and H. Iwaniec, Kloosterman sums and Fourier coefficients of cusp forms, Invent. Math. 70 (1982), 219-288.
[001] [2] J.-M. Deshouillers and H. Iwaniec, The non-vanishing of Rankin-Selberg zeta-functions at special points, in: The Selberg Trace Formula and Related Topics, Contemp. Math. 53, Amer. Math. Soc., Providence, R.I., 1986, 59-95.
[002] [3] I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Series and Products, Academic Press, New York and London, 1965.
[003] [4] D. A. Hejhal, The Selberg Trace Formula for PSL(2,R), Vol. 2, Lecture Notes in Math. 1001, Springer, 1983.
[004] [5] M. N. Huxley, The large sieve inequality for algebraic number fields. II: Means of moments of Hecke zeta-functions, Proc. London Math. Soc. (3) 21 (1970), 108-128. | Zbl 0215.07303
[005] [6] H. Iwaniec, Fourier coefficients of cusp forms and the Riemann zeta-function, Séminaire de Théorie des Nombres, Bordeaux 1979-80.
[006] [7] M. Jutila, On spectral large sieve inequalities, preprint, 1991.
[007] [8] N. V. Kuznetsov, Petersson's conjecture for cusp forms of weight zero and Linnik's conjecture. Sums of Kloosterman sums, Mat. Sb. 111 (1980), 334-383 (in Russian). | Zbl 0427.10016
[008] [9] W. Luo, On the non-vanishing of Rankin-Selberg L-functions, Duke Math. J. 69 (1993), 411-425. | Zbl 0789.11032
[009] [10] H. L. Montgomery, Topics in Multiplicative Number Theory, Lecture Notes in Math. 227, Springer, 1971. | Zbl 0216.03501
[010] [11] R. Phillips and P. Sarnak, On cusp forms for cofinite subgroups of PSL(2,R), Invent. Math. 80 (1985), 339-364. | Zbl 0558.10017
[011] [12] R. A. Rankin, Contributions to the theory of Ramanujan's function τ(n) and similar arithmetic functions, Proc. Cambridge Philos. Soc. 35 (1939), 357-372. | Zbl 0021.39202
[012] [13] A. Selberg, On the estimation of Fourier coefficients of modular forms, in: Proc. Sympos. Pure Math. 8, Amer. Math. Soc., Providence, R.I., 1965, 1-15. | Zbl 0142.33903
[013] [14] A. Selberg, Collected Papers, Vol. 1, Springer, 1989, 626-674.
[014] [15] G. Shimura, Introduction to the Arithmetic Theory of Automorphic Functions, Princeton Univ. Press, 1971. | Zbl 0221.10029
[015] [16] E. C. Titchmarsh, The Theory of the Riemann Zeta-Function, Oxford, 1951. | Zbl 0042.07901
[016] [17] G. N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge, 1944.