On oscillations in the additive divisor problem, 1

• Autorzy: Bogdan Szydło
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1994
• Tom: 66
• Numer: 1
• Strony: 63-69

Daty

wydano

1994

otrzymano

1993-04-20

Twórcy

autor

Bogdan Szydło

• Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Matejki 48/49, 60-769 Poznań, Poland

Bibliografia

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• [2] J.-M. Deshouillers and H. Iwaniec, Kloosterman sums and Fourier coefficients of cusp forms, Invent. Math. 70 (1982), 219-288.
• [3] J.-M. Deshouillers and H. Iwaniec, Additive divisor problem, J. London Math. Soc. (2) 26 (1982), 1-14.
• [4] A. Erdelyi, W. Magnus, F. Oberhettinger and F. G. Tricomi, Higher Transcendental Functions, II, McGraw-Hill, 1953.
• [5] M. Jutila, The additive divisor problem and exponential sums, in: Third Conference of the Canadian Number Theory Association, Kingston 1991, Clarendon Press, Oxford, 1993, 113-135.
• [6] T. Kubota, Elementary Theory of Eisenstein Series, Wiley, New York, 1973.
• [7] N. V. Kuznetsov, Petersson's conjecture for cusp forms of weight zero and Linnik's conjecture. Sums of Kloosterman sums, Math. USSR-Sb. 39 (1981), 299-342.
• [8] N. V. Kuznetsov, Convolutions of the Fourier coefficients of the Eisenstein-Maass series, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 134 (1983), 43-84 (in Russian).
• [9] E. Landau, Über einen Satz von Tschebyschef, Math. Ann. 61 (1905), 527-550.
• [10] Y. Motohashi, The binary additive divisor problem, Ann. Sci. École Norm. Sup., to appear.
• [11] Y. Motohashi, Spectral mean values of Maass waveform L-functions, J. Number Theory 42 (1992), 258-284.
• [12] N. V. Proskurin, Summation formulas for generalized Kloosterman sums, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 82 (1979), 103-135 (in Russian).
• [13] L. A. Takhtajan and A. I. Vinogradov, The Gauss-Hasse hypothesis on real quadratic fields with class number one, J. Reine Angew. Math. 335 (1982), 40-87.
• [14] L. A. Takhtajan and A. I. Vinogradov, The zeta-function of the additive divisor problem and the spectral decomposition of the automorphic Laplacian, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 134 (1984), 84-116 (in Russian).
• [15] E. C. Titchmarsh, The Theory of the Riemann Zeta-Function, 2nd ed. revised by D. R. Heath-Brown, Clarendon Press, Oxford, 1986.