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20032006
most citedAttosecond double-slit experiment

444 citations

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math.NT2005★ 2 cited

Equidistribution of geodesics on homology classes and analogues for free groups

Yiannis Petridis, Morten S. Risager

We investigate how often geodesics have homology in a fixed set of the homology lattice of a compact Riemann surface. We prove that closed geodesics are equidistributed on any sets…

math.NT2005★ 3 cited

Iterated Shimura integrals

Yu. I. Manin

In this paper I continue the study of iterated integrals of modular forms and noncommutative modular symbols for started in [Ma3]. Main new results involv…

math.NT2005★ 1 cited

Friendly measures, homogeneous flows and singular vectors

Dmitry Kleinbock, Barak Weiss

We prove that singular vectors have measure zero with respect to any friendly measure on (e.g. the volume measure on a nondegenerate submanifold). This generalizes speci…

math.NT2005★ 1 cited

Flows on -arithmetic homogeneous spaces and applications to metric Diophantine approximation

Dmitry Kleinbock, George Tomanov

The main goal of this work is to establish quantitative nondivergence estimates for flows on homogeneous spaces of products of real and -adic Lie groups. These results have appl…

math.NT2005★ 1 cited

Differential equations satisfied by modular forms and K3 surfaces

Yifan Yang, Noriko Yui

We study differential equations satisfied by modular forms associated to , where are genus zero subgroups of commensurable with $SL_2(…

math.NT2004★ 15 cited

On the image of l-adic Galois representations for abelian varieties of type I and II

Grzegorz Banaszak, Wojciech Gajda, Piotr Krason

In this paper we investigate the image of the -adic representation attached to the Tate module of an abelian variety over a number field with endomorphism algebra of type I or I…