Number Theory Seminar

Speaker: Desirée Gijón Gómez (KU).

Title: Explicit bounds on modulars polynomials.

Abstract: We give explicit upper and lower bounds on the size of the coefficients of the modular polynomials $\Phi_N$ for the $j$-function. These bounds make explicit the best previously known asymptotic bounds. This is joint work with Florian Breuer and Fabien Pazuki.