Date & Time: Wednesday, January 25, 2012, 15:00-16:00.

Venue: Ramanujan Hall

Title:WEYL'S SUMS FOR ROOTS OF QUADRATIC CONGRUENCES

Speaker:Prof. Henryk Iwaniec (Rutgers)

Abstract: I will highlight results and ideas of proof in a recent joint work with W. Duke and J. Friedlander concerning the distribution of zeros of quadratic congruences in various domains. The key feature of results is the uniformity of asymptotic formulas with respect to the discriminant, which is accomplished by means of spectral theory of metaplectic automorphic forms. Due to this great uniformity there are numerous applications which will be presented in the talk.

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