Ethan Lee

Explicit Residue Estimates in Number Fields

In Analytic Number Theory, zeta-functions are important objects, because their zeros and poles can reveal information about primes in some context. In the number fields setting, the Dedekind zeta-function is the zeta-function of choice, so it is important to investigate its properties and estimate its invariants, including the residue of its solitary, simple pole at s=1. In this talk, we explore unconditional and conditional explicit bounds for this residue in some detail.