On oscillations in the additive divisor problem, 1
Acta Arithmetica (1994)
- Volume: 66, Issue: 1, page 63-69
- ISSN: 0065-1036
Access Full Article
topHow to cite
topBogdan Szydło. "On oscillations in the additive divisor problem, 1." Acta Arithmetica 66.1 (1994): 63-69. <http://eudml.org/doc/206592>.
@article{BogdanSzydło1994,
author = {Bogdan Szydło},
journal = {Acta Arithmetica},
keywords = {additive divisor problem; Omega theorem; error term},
language = {eng},
number = {1},
pages = {63-69},
title = {On oscillations in the additive divisor problem, 1},
url = {http://eudml.org/doc/206592},
volume = {66},
year = {1994},
}
TY - JOUR
AU - Bogdan Szydło
TI - On oscillations in the additive divisor problem, 1
JO - Acta Arithmetica
PY - 1994
VL - 66
IS - 1
SP - 63
EP - 69
LA - eng
KW - additive divisor problem; Omega theorem; error term
UR - http://eudml.org/doc/206592
ER -
References
top- [1] R. J. Anderson and H. M. Stark, Oscillation theorems, in: Lecture Notes in Math. 899, Springer, 1981, 79-106.
- [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. Zbl0052.29502
- [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. Zbl0268.10012
- [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. Zbl0461.10017
- [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). Zbl0496.10013
- [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. Zbl0819.11038
- [11] Y. Motohashi, Spectral mean values of Maass waveform L-functions, J. Number Theory 42 (1992), 258-284. Zbl0759.11026
- [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). Zbl0536.10025
- [15] E. C. Titchmarsh, The Theory of the Riemann Zeta-Function, 2nd ed. revised by D. R. Heath-Brown, Clarendon Press, Oxford, 1986. Zbl0601.10026
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.