Sum-product phenomena: p-adic case

2016/02/01 by Golsefidy, Alireza Salehi
#Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1602.00400

Abstract

The sum-product phenomena over a finite extension K of ℚ_p is explored. The main feature of the results is the fact that the implied constants are independent of p.

Related

• Sum-product phenomena in F_p: a brief introduction
• Sum Expressions for Kubota-Leopoldt p-adic L-functions
• p-adic q-expansion of alternating sums of powers
• The sum-product conjecture is false for real numbers
• Some sum-product type estimates for two-variables over prime fields