Submission date: 8 May 2020

Abstract:

We put forward new bounds for finite exponential sums and give some evidence. The bounds are related to Igusa's conjectures (on exponential sums and on monodromy) and recent results by Mustaţă and Popa to get a simple formulation in terms of degree and dimensions only.

Mathematics Subject Classification: Primary 11L07, Secondary 11S40, 14E18, 03C98, 02H15, 11F23

Keywords and phrases:

Full text arXiv 2005.04197: pdf, ps.