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...

In this article we prove finite generation of the cohomology of quotients of a PBW algebra A by relating it to the cohomology of quotients of a quantum symmetric algebra S which is isomorphic to the associated graded algebra of A. The proof uses a spectral sequence argument and a finite generation lemma adapted from Friedlander and Suslin.

Ilona J. Frieden, M.D.,* Anita N. Haggstrom, M.D.,† Beth A. Drolet, M.D.,‡ Anthony J. Mancini, M.D.,§ Sheila Fallon Friedlander, M.D.,¶ Laurence Boon, M.D., Ph.D.,** Sarah L. Chamlin, M.D.,§ Eulalia Baselga, M.D.,†† Maria C. Garzon, M.D.,‡‡ Amy J. Nopper, M.D.,§§ Dawn H. Siegel, M.D.,* Erin W. Mathes, M.D.,* Deborah S. Goddard, M.D.,¶¶ Joyce Bischoff, Ph.D.,¶¶ Paula E. North, M.D., Ph.D.,*** an...

We prove that for generic geometry, the curl-eigenfield solutions to the steady Euler equations on R 3 /Z 3 are all hydrodynamically unstable (linear, L norm). The proof involves amarriage of contact topological methods with the instability criterion of Friedlander-Vishik. An application of contact homology is the crucial step.

We prove that if R is a Hensel local ring with infinite residue field k, the natural map Hi(GLn(R),Z/p) → Hi(GLn(k), Z/p) is an isomorphism for i ≤ 3, p 6= char k. This implies rigidity for Hi(GLn), i ≤ 3, which in turn implies the Friedlander–Milnor conjecture in positive characteristic in degrees ≤ 3. A fundamental question in the homology of linear groups is that of rigidity: given a smooth ...

Abstract In 1998 Friedlander and Iwaniec proved that there are infinitely many primes of the form $$a^2+b^4$$ a 2 + b 4 . To show this they used Jacobi symbol to define spin Gaussian integers, one...

<p style='text-indent:20px;'>We prove global in time dispersion for the wave and Klein-Gordon equation inside Friedlander domain by taking full advantage of space-time localization caustics a precise estimate number waves that may cross at given, large time. Moreover, we uncover significant difference between low frequency, regime, where exhibits worse decay than wave, unlike flat space.&...

M. A. Vogelsong, E. Staroswiecki, B. A. Hargreaves, E. Han, J. A. Fattor, A. L. Friedlander, O. Shah, J. M. Beaubien, and G. E. Gold Radiology, Stanford University, Stanford, CA, United States, Electrical Engineering, Stanford University, Stanford, CA, Radiology, Stanford University, Stanford, CA, GE Healthcare Global Applied Sciences Laboratory, Menlo Park, CA, Stanford Center on Longevity, St...