@article{ASENS_1994_4_27_5_529_0, author = {Motohashi, Yoichi}, title = {The binary additive divisor problem}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {529--572}, publisher = {Elsevier}, volume = {Ser. 4, 27}, number = {5}, year = {1994}, doi = {10.24033/asens.1700}, mrnumber = {95i:11104}, zbl = {0819.11038}, language = {en}, url = {http://www.numdam.org/articles/10.24033/asens.1700/} }
TY - JOUR AU - Motohashi, Yoichi TI - The binary additive divisor problem JO - Annales scientifiques de l'École Normale Supérieure PY - 1994 SP - 529 EP - 572 VL - 27 IS - 5 PB - Elsevier UR - http://www.numdam.org/articles/10.24033/asens.1700/ DO - 10.24033/asens.1700 LA - en ID - ASENS_1994_4_27_5_529_0 ER -
Motohashi, Yoichi. The binary additive divisor problem. Annales scientifiques de l'École Normale Supérieure, Serie 4, Volume 27 (1994) no. 5, pp. 529-572. doi : 10.24033/asens.1700. http://www.numdam.org/articles/10.24033/asens.1700/
[1] The Mean Value of the Zeta-function on the Critical Line (Proc. London Math. Soc., Vol. 47, 1941, pp. 174-200). | JFM | MR | Zbl
,[2] The Mean Value of the Riemann Zeta-function (Acta Math., Vol. 81, 1949, pp. 353-376). | MR | Zbl
,[3] La Conjecture de Weil (Publ. Math. I.H.E.S., Vol. 43, 1974, pp. 273-307). | Numdam | MR | Zbl
,[4] Sur quelques moyennes des coefficients de Fourier de formes modulaires (Lect. Notes in Math., Springer, Vol. 1068, 1984, pp. 74-79). | MR | Zbl
,[5] An Additive Divisor Problem (J. London. Math. Soc., Vol. 26(2), 1982, pp. 1-14). | MR | Zbl
and ,[6] Kloosterman Sums and Fourier Coefficients of Cusp Forms (Invent. math. Vol. 70, 1982, pp. 219-288). | MR | Zbl
and ,[7] On the Representation of a Number as the Sum of Two Products (Proc. London. Math. Soc., Vol. 31, 1930, pp. 123-133). | JFM
,[8] Über die Darstellung einer Zahl als Differenz von zwei Produkten (J. Reine Angew. Math., Vol. 164, 1931, pp. 173-182). | JFM | Zbl
,[9] An Asymptotic Formula in the Theory of Numbers (Trans. A.M.S., Vol. 84, 1957, pp. 338-351). | MR | Zbl
,[10] The Fourth Power Moment of the Riemann Zeta-function (Proc. London Math. Soc., Vol. 38(3), 1979, pp. 385-422). | MR | Zbl
,[11] Some Asymptotic Formulae in the Theory of Numbers (J. London Math. Soc., Vol. 2, 1927, pp. 202-208). | JFM
,[12] Mean Values of the Riemann Zeta-function (Tata Lect. Notes in Math., Vol. 82, 1992).
,[13] A Note on the Mean Value of the Zeta and L-functions (VII. Proc. Japan Acad., Vol. 66A, 1990, pp. 150-152). | MR | Zbl
and ,[14] On the Fourth Power Moment of the Riemann Zeta-function, to appear in J. Number Theory. | Zbl
and ,[15] The Mean Square of the Error Term for the Fourth Moment of the Zeta-function, to appear in Proc. London Math. Soc. | Zbl
and ,[16] Fourier Coefficients of Cusp Forms and The Riemann Zeta-function (Exp. n° 18, Sem. Th. Nombres, Univ. Bordeaux, 1979/1980). | Zbl
,[17] A Method in the Theory of Exponential Sums (Tata Lect. Notes in Math., Vol. 80, 1987). | MR
,[18] The Additive Divisor Problem and Exponential Sums (Advances in Number Theory, Clarendon Press, Oxford, 1993, pp. 113-135). | MR | Zbl
,[19] Petersson Hypothesis for Forms of Weight Zero and Linnik Hypothesis, Preprint, 1977 (Russian).
,[20] Spectral Method for Arithmetical Problems (Zap. Nauch. Sem., LOMI 76, 1978, pp. 159-166). | MR | Zbl
,[21] Petersson Hypothesis for Parabolic Forms of Weight Zero and Linnik Hypothesis. Sums of Kloosterman sums (Math. Sbornik, Vol. 111, 1980, pp. 334-383). | MR | Zbl
,[22] Convolution of the Fourier Coefficients of the Eisenstein-Maass Series (Zap. Nauch. Sem., LOMI 129, 1983, pp. 43-84). | MR | Zbl
,[23] The L-functions L(s, Symm(r), π) (Canadian Math. Bull., Vol. 28, 1985, pp. 405-410). | MR | Zbl
et ,[24] A Note on the Mean Value of the Zeta and L-functions. VI (Proc. Japan Acad., Vol. 65A, 1989, pp. 273-275). | MR | Zbl
,[25] An Explicit Formula for the Fourth Power Mean of the Riemann Zeta-function (Acta Mathematica, Vol. 170, 1993, pp. 181-220). | MR | Zbl
,[26] Spectral Mean Values of Maass Wave Form L-functions (J. Number Theory, Vol. 42, 1992, pp. 258-284). | MR | Zbl
,[27] Kuznetsov's trace formulas, Manuscript, 1991.
,[28] On the Estimation of Eigen Values of Hecke Operators (Rocky Mountain J. Math., Vol. 15, 1985, pp. 521-533). | Zbl
,[29] On the Estimation of Fourier Coefficients of Modular Forms (Proc. Symp. Pure Math., Vol. 8, 1965, pp. 1-15). | MR | Zbl
,[30] The Zeta-function of the Additive Divisor Problem and the Spectral Decomposition of the Automorphic Laplacian (Zap. Nauch. Sem., LOMI 134, 1984, pp. 84-116, Russian). | Zbl
and ,[31] On the Fourth Moment of the Riemann Zeta-function, Preprint, 1986 (Russian).
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