1 - 10 of 25 articles
We consider foliations of the whole three dimensional hyperbolic space
by oriented geodesics. Let
be the space of all the oriented geodesics of
, which is a four dimensional manifold carrying two...
We prove that automorphic representations whose local components are certain small representations have multiplicity one. The proof is based on the multiplicity-one theorem for certain functionals of small representations, also proved in this paper.
Revisiting a construction due to Vignéras, we exhibit small pairs of orbifolds and manifolds of dimension 2 and 3 arising from arithmetic Fuchsian and Kleinian groups that are Laplace isospectral (in fact, representation equivalent) but nonisometric.
denote the argument of the Riemann zeta-function at the point
. Assuming the Riemann hypothesis, we give a new and simple proof of the sharpest known bound for S(t). We discuss a generalization of this bound...
In our earlier paper, based on a paper by Bump and Ginzburg, we used an Eisenstein series on the double cover of
to obtain an integral representation of the twisted symmetric square L-function of
. Using that, we showed that...
We construct a compact simply connected 7-dimensional manifold admitting a K-contact structure but not a Sasakian structure. We also study rational homotopy properties of such manifolds, proving in particular that a simply connected 7-dimensional Sasakian manifold has vanishing cup product
be a totally real field, and let
be a finite set of non-archimedean places of
. It follows from the work of Merel, Momose and David that there is a constant
so that if
is an elliptic curve defined over...
In this article we derive Harnack estimates for conjugate heat kernel in an abstract geometric flow. Our calculation involves a correction term
is nonnegative, we are able to obtain a Harnack inequality. Our abstract formulation provides a...
It follows from classical restrictions on the topology of real algebraic varieties that the first Betti number of the real part of a real nonsingular sextic in
can not exceed 94. We construct a real nonsingular sextic
Snake graphs appear naturally in the theory of cluster algebras. For cluster algebras from surfaces, each cluster variable is given by a formula whose terms are parametrized by the perfect matchings of a snake graph. In this paper, we continue our study of snake graphs from a combinatorial point...
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