Equidistribution

Analytic number theorists usually seek to show that sequences which appear naturally in arithmetic are “well-distributed” in some appropriate sense. In various discrepancy problems, combinatorics researchers have analyzed limitations to equidistribution, as have Fourier analysts when working with the “uncertainty principle”. In this article we find that these ideas have a natural setting in the analysis of distributions of sequences in analytic number theory, formulating a general principle, and giving several examples. ...

44p noel_noel 17-01-2013 53 6   Download

Soit S une vari´et´e de Shimura sur C. On d´efinit sur S un ensemble de points sp´eciaux (les points `a multiplication complexe) et un ensemble de sous-vari´et´es sp´eciales que l’on appelle sous-vari´et´es de type de Hodge. Les d´efinitions qui seront donn´ees plus tard dans le texte sont pr´esent´ees de mani`ere tr`es agr´eable dans le papier de Moonen

19p noel_noel 17-01-2013 34 3   Download

In this paper we solve the subconvexity problem for Rankin-Selberg L-functions L(f ⊗ g, s) where f and g are two cuspidal automorphic forms over Q, g being fixed and f having large level and nontrivial nebentypus. We use this subconvexity bound to prove an equidistribution property for incomplete orbits of Heegner points over definite Shimura curves. L(f, s),

53p tuanloccuoi 04-01-2013 49 6   Download

Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học tạp chí toán học quốc tế đề tài: When are subset sums equidistributed modulo m?

15p thulanh3 10-09-2011 61 4   Download