Voir la notice de l'article provenant de la source Cambridge University Press
Sun, Qingfeng. Cancellation of Cusp Forms Coefficients over Beatty Sequences on GL(m). Canadian mathematical bulletin, Tome 54 (2011) no. 4, pp. 757-762. doi: 10.4153/CMB-2011-032-8
@article{10_4153_CMB_2011_032_8,
author = {Sun, Qingfeng},
title = {Cancellation of {Cusp} {Forms} {Coefficients} over {Beatty} {Sequences} on {GL(m)}},
journal = {Canadian mathematical bulletin},
pages = {757--762},
year = {2011},
volume = {54},
number = {4},
doi = {10.4153/CMB-2011-032-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-032-8/}
}
TY - JOUR AU - Sun, Qingfeng TI - Cancellation of Cusp Forms Coefficients over Beatty Sequences on GL(m) JO - Canadian mathematical bulletin PY - 2011 SP - 757 EP - 762 VL - 54 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-032-8/ DO - 10.4153/CMB-2011-032-8 ID - 10_4153_CMB_2011_032_8 ER -
[1] [1] Banks, W. and Shparlinski, I. E., Character sums with Beatty sequences on Burgess-type intervals. In: Analytic Number Theory, Cambridge University Press, Cambridge, 2009, pp. 15–21. Google Scholar
[2] [2] Bump, D., Automorphic Forms on GL(3, ). Lecture Notes in Mathematics 1083, Springer-Verlag, Berlin, 1984. Google Scholar
[3] [3] Blomer, V., Sums of Hecke eigenvalues over quadratic polynomials. Int. Math. Res. Not. (2008), no. 16. Google Scholar
[4] [4] Deligne, P., La conjecture de Weil. I.. Inst. Hautes Études Sci. Publ. Math. 43(1974), 273–307. Google Scholar
[5] [5] Epstein, C., Hafner, J. L., and Sarnak, P., Zeros of L-functions attached to Maass forms. Math. Z. 190(1985), no. 1, 113–128. doi:10.1007/BF01159169 Google Scholar
[6] [6] Goldfeld, D., Automorphic Forms and L-Functions for the Group GL(n, ). Cambridge Studies in Advanced Mathematics 99, Cambridge University Press, Cambridge, 2006. Google Scholar
[7] [7] Good, A., Beiträge zur Theorie der Dirichletreihen, die spitzenformen zugeordnet sind. J. Number Theory 13(1981), no. 1, 18–65. doi:10.1016/0022-314X(81)90028-7 Google Scholar
[8] [8] Hafner, J. L., Some remarks on odd Maass wave form. (and a correction to [5]). Math. Z. 196(1987), no. 1, 129–132. doi:10.1007/BF01179274 Google Scholar
[9] [9] Kurpers, L. and Niederreiter, H., Uniform Distribution of Sequences. Pure and Applied Mathematics. Wiley-Interscience, New York, 1974. Google Scholar
[10] [10] Lang, S., Introduction to Diophantine Approximations. Addison-Wesley, Reading, MA, 1966 Google Scholar
[11] [11] Lao, H. X., Oscillations of coefficients of primitive cusp form over some special sequences. Ramanujan J. 19(2009), no. 3, 339–350. doi:10.1007/s11139-008-9128-y Google Scholar
[12] [12] Miller, S. D., Cancellation in additive twisted sums on GL(n) . Amer. J. Math. 128(2006), no. 3, 699–729. doi:10.1353/ajm.2006.0027 Google Scholar
[13] [13] Roth, K. F., Rational approximations to algebraic numbers.. Mathematika 2(1950), 1–20, corrigendum, 168. doi:10.1112/S0025579300000644 Google Scholar
[14] [14] Vinogradov, I. M., The Method of Trigonometrical Sums in the Theory of Numbers. Dover Publications, Mineola, NY, 2004. Google Scholar
Cité par Sources :