Evgeny Musicantov (Tel-Aviv University)
Finite growth order of Eisenstein series

Using an effective version of Bernstein's continuation principle, combined with Bott-Chern interpretation of Nevanlinna characteristics function as the integrated #rst Chern's class of a certain hermitian holomorphic line bundle, we establish #nite growth order of spherical Eisenstein series attached to SL2(Z) \ SL2(R).
Variance of sums of two squares in short intervals, and fractional divisor functions (20/12/2017)