Видеотека: A. B. Kalmynin, Intervals between numbers that are sums of two squares and Jacobi-type forms

ВИДЕОТЕКА


Workshop: Motives, Periods and L-functions 12 апреля 2017 г. 17:15, г. Москва, НИУ "Высшая школа экономики", ул. Усачевой, 6

Intervals between numbers that are sums of two squares and Jacobi-type forms A. B. Kalmynin National Research University "Higher School of Economics" (HSE), Moscow
Аннотация: Let $S$ be the set of all numbers that can be expressed as the sum of two squares and $R(x)$ be the distance from positive real number $x$ to the set $S4. Classical conjecture due to Euler states that $R(x)=x^o(1)$. In my talk, I will show that Cohen--Kuznetzov construction of Jacobi-type forms can be used to establish new bounds for moments of $R(x)$. Язык доклада: английский