@article{bwmeta1.element.bwnjournal-article-aav66i1p63bwm,
author = {Bogdan Szyd\l o},
title = {On oscillations in the additive divisor problem, 1},
journal = {Acta Arithmetica},
volume = {68},
year = {1994},
pages = {63-69},
zbl = {0805.11068},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav66i1p63bwm}
}
Bogdan Szydło. On oscillations in the additive divisor problem, 1. Acta Arithmetica, Tome 68 (1994) pp. 63-69. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav66i1p63bwm/
[000] [1] R. J. Anderson and H. M. Stark, Oscillation theorems, in: Lecture Notes in Math. 899, Springer, 1981, 79-106.
[001] [2] J.-M. Deshouillers and H. Iwaniec, Kloosterman sums and Fourier coefficients of cusp forms, Invent. Math. 70 (1982), 219-288.
[002] [3] J.-M. Deshouillers and H. Iwaniec, Additive divisor problem, J. London Math. Soc. (2) 26 (1982), 1-14.
[003] [4] A. Erdelyi, W. Magnus, F. Oberhettinger and F. G. Tricomi, Higher Transcendental Functions, II, McGraw-Hill, 1953. | Zbl 0052.29502
[004] [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.
[005] [6] T. Kubota, Elementary Theory of Eisenstein Series, Wiley, New York, 1973. | Zbl 0268.10012
[006] [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. | Zbl 0461.10017
[007] [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). | Zbl 0496.10013
[008] [9] E. Landau, Über einen Satz von Tschebyschef, Math. Ann. 61 (1905), 527-550.
[009] [10] Y. Motohashi, The binary additive divisor problem, Ann. Sci. École Norm. Sup., to appear. | Zbl 0819.11038
[010] [11] Y. Motohashi, Spectral mean values of Maass waveform L-functions, J. Number Theory 42 (1992), 258-284. | Zbl 0759.11026
[011] [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).
[012] [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.
[013] [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). | Zbl 0536.10025
[014] [15] E. C. Titchmarsh, The Theory of the Riemann Zeta-Function, 2nd ed. revised by D. R. Heath-Brown, Clarendon Press, Oxford, 1986. | Zbl 0601.10026