644 citations
- Princeton Plasma Physics LaboratoryUS10 papers
- New York UniversityUS9 papers
- Courant Institute of Mathematical SciencesUS8 papers
- Centre National de la Recherche ScientifiqueFR7 papers
- Columbia UniversityUS7 papers
- Laboratoire de Physique ThéoriqueFR7 papers
- Johns Hopkins UniversityUS6 papers
- University of California, BerkeleyUS6 papers
- Tel Aviv UniversityIL5 papers
- University of British ColumbiaCA5 papers
- National High Magnetic Field LaboratoryUS4 papers
- Pennsylvania State UniversityUS4 papers
8 papers · 1 filter
Existence and Weyl's law for spherical cusp forms
Elon Lindenstrauss, Akshay Venkatesh
Let G be a split adjoint semisimple group over Q and K a maximal compact subgroup of the real points G(R). We shall give a uniform, short and essentially elementary proof of the We…
Ergodic theoretic proof of equidistribution of Hecke points
Alex Eskin, Hee Oh
We use the theory of unipotent flows to prove, in a general setting, the equidistribution of Hecke points. We follow the approach of Burger-Sarnak, and use a theorem of Mozes-Shah.
On the error term in Duke's estimate for the average special value of L-functions
Jordan S. Ellenberg
Let F be an orthonormal basis of weight 2 cusp forms on Gamma_0(N). We show that various weighted averages of special values L(f \tensor chi, 1) over f in F are equal to 4 pi + O(N…
Two generalizations of Jacobi's derivative formula
Samuel Grushevsky, Riccardo Salvati Manni
In this paper we generalize the famous Jacobi's triple product identity, considered as an identity for theta functions with characteristics and their derivatives, to higher genus/d…
The mass of unimodular lattices
M. Belolipetsky, W. T. Gan
The purpose of this paper is to show how to obtain the mass of a unimodular lattice from the point of view of the Bruhat-Tits theory. This is achieved by relating the local stabili…
Root numbers and the parity problem
Harald Helfgott
Let E be a one-parameter family of elliptic curves over a number field. It is natural to expect the average root number of the curves in the family to be zero. All known counterexa…