2022/12/03 by Raposo, Gabriel
#11R27 #11R29 (Secondary) #11Y40 (Primary) #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)
paper · doi:10.48550/arxiv.2212.01500
We generalize an inequality conjectured by Pohst in 1977 and recently proved by the author and independently by Battistoni and Molteni. This new inequality improves a bound for the regulator in terms of the discriminant for totally real number fields by taking into account the signs of conjugates of the fundamental unit. We give a new interpretation to the problem and exploit the combinatorial method used by Pohst.