In this paper we calculate the asymptotics of various moments of the central values of Rankin-Selberg convolution L-functions of large level, thus generalizing the results and methods of W. Duke, J. Friedlander, and H. Iwaniec and of the authors. Consequences include convexity-breaking bounds, nonvanishing of a positive proportion of central values, and linear independence results for certain H...

We define an antisocial graph group to be a graph group arising from a graph whose clique graph is triangle free. In every dimension, the existence of graphical splittings of an antisocial graph group G is shown to correspond to nonvanishing of Betti numbers of the ball of radius 1 in the well-known cube complex on which G acts freely.

By considering charged black hole solutions of a one parameter family of two dimensional dilaton gravity theories, one finds the existence of quantum mechanically stable gravitational kinks with a simple mass to charge relation. Unlike their Einsteinian counterpart (i.e. extreme ReissnerNordström), these have nonvanishing horizon surface gravity.

We show that the system where CP 1 model coupled to Hopf term can reveal fractional spin in a collective coordinate quantization scheme, provided one makes a transition to physically inequivalent sector within a same solitonic sector characterized by a nonvanishing topological number

When anticommuting Grassmann variables are introduced into a fluid dynamical model with irrotational velocity and no vorticity, the velocity acquires a nonvanishing curl and the resultant vorticity is described by Gaussian potentials formed from the Grassmann variables. Upon adding a further specific interaction with the Grassmann degrees of freedom, the model becomes supersymmetric.

We show that the correct perturbation theory for mixed fermion states leads to nonvanishing contributions of the dimension-four ver-tex operators for flavour-changing transitions. Their contributions to the amplitude are of the same order of magnitude as the dimension-five vertex operators. Considerations are valid irrespective of the electroweak model.

In this article, we study the theta lifting for loop groups and extend classical tower property established by S. Rallis to setting. As an application, obtain cusp forms on groups, give first example where constructed using method are nonvanishing.

Projecting a non-Abelian SU(2) vacuum gauge field – a pure gauge constructed from the group element U – onto a fixed (electromagnetic) direction in isospace gives rise to a nontrivial magnetic field, with nonvanishing magnetic helicity, which coincides with the winding number of U . Although the helicity is not conserved under Maxwell (vacuum) evolution, it retains one-half its initial value at...

Let tn be a sequence that satisfies a first order homogeneous recurrence tn = Q(n)tn−1, where Q ∈ Z[n]. The asymptotic behavior of the p-adic valuation of tn is described under the assumption that all the roots of Q in Z/pZ have nonvanishing derivative.

We introduce an idea for generalization of a local cohomology module, which we call a local cohomology module with respect to a pair of ideals (I, J), and study their various properties. Some vanishing and nonvanishing theorems are given for this generalized version of local cohomology. We also discuss its connection with the ordinary local cohomology.