M. Bennett

activity

20022023

most citedMordell's equation : a classical approach

14 citations · 51 across the 17 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

math.NT2020

The equation $(x - d)^{5} + x^{5} + (x + d)^{5} = y^{n}$

Michael A. Bennett, Angelos Koutsianas

In this paper, we solve the equation of the title under the assumption that $g cd (x, d) = 1$ and $n \geq 2$ . This generalizes earlier work of the first author, Patel and Siksek [BPS16]…

math.NT2020

Counting Zeros of Dirichlet $L$ -Functions

Michael A. Bennett, Greg Martin, Kevin O'Bryant +1

We give explicit upper and lower bounds for $N (T, χ)$ , the number of zeros of a Dirichlet $L$ -function with character $χ$ and height at most $T$ . Suppose that $χ$ has conductor $q>1…

The equation (x−d)5+x5+(x+d)5=yn

Counting Zeros of Dirichlet L-Functions

The equation $(x - d)^{5} + x^{5} + (x + d)^{5} = y^{n}$

Counting Zeros of Dirichlet $L$ -Functions