Values of inhomogeneous forms at <i>S</i> ?integral points

Values of isotropic quadratic forms at S-integral points

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Values of Quadratic Forms at Integral Points : an Elementary Approach

Values of Indefinite Quadratic Forms at Integral Points and Flows on Spaces of Lattices

This mostly expository paper centers on recently proved conjectures in two areas: A) A conjecture of A. Oppenheim on the values of real indefinite quadratic forms at integral points. B) Conjectures of Dani, Raghunathan, and Margulis on closures of orbits in spaces of lattices such as SLn(R)/SLn(Z) . At first sight, A) belongs to analytic number theory and B) belongs to ergodic and Lie theory, a...

Integral Traces of Singular Values of Weak Maass Forms

We define traces associated to a weakly holomorphic modular form f of arbitrary negative even integral weight and show that these traces appear as coefficients of certain weakly holomorphic forms of half-integral weight. If the coefficients of f are integral, then these traces are integral as well. We obtain a negative weight analogue of the classical Shintani lift and give an application to a ...

Values of Binary Quadratic Forms at Integer Points and Schmidt Games

We prove that for any countable set A of real numbers, the set of binary indefinite quadratic forms Q such that the closure of Q ` Z2 ́ is disjoint from A has full Hausdorff dimension. Dedicated to S.G. Dani on the occasion of his 65th birthday