比利时vs摩洛哥足彩
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university of california san diego
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math 211b - group actions seminar
matthew welsh
university of bristol
bounds for theta sums in higher rank
abstract:
in joint work with jens marklof, we prove new upper bounds for theta sums -- finite exponential sums with a quadratic form in the oscillatory phase -- in the case of smooth and box truncations. this generalizes results of fiedler, jurkat and körner (1977) and fedotov and klopp (2012) for one-variable theta sums and, in the multi-variable case, improves previous estimates obtained by cosentino and flaminio (2015). key inputs in our approach include the geometry of $\mathrm{sp}(n, \mathbb{z}) \backslash \mathrm{sp}(n, \mathbb{r})$, the automorphic representation of theta functions and their growth in the cusp, and the action of the diagonal subgroup of $\mathrm{sp}(n, \mathbb{r})$.
host: brandon seward
may 5, 2022
10:00 am
ap&m 6402
zoom id 967 4109 3409
email an organizer for the password
research areas
ergodic theory and dynamical systems****************************
