Nirvana Coppola

activity

20182026

most citedFormalized Class Group Computations and Integral Points on Mordell Elliptic Curves

6 citations · 9 across the 11 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.NT2023

On the conductor of Ciani plane quartics

Irene Bouw, Nirvana Coppola, Elisa Lorenzo García +1

In this paper we determine the conductor exponent of non-special Ciani quartics at primes of potentially good reduction in terms of the Ciani invariants. As an intermediate step in…

math.NT2023

Power values of power sums: a survey

Nirvana Coppola, Mar Curcó-Iranzo, Maleeha Khawaja +2

Research on power values of power sums has gained much attention of late, partially due to the explosion of refinements in multiple advanced tools in (computational) Number Theory…

math.NT2023

On perfect powers that are sums of cubes of a nine term arithmetic progression

Nirvana Coppola, Mar Curcó-Iranzo, Maleeha Khawaja +2

We study the equation $(x - 4 r)^{3} + (x - 3 r)^{3} + (x - 2 r)^{3} + (x - r)^{3} + x^{3} + (x + r)^{3} + (x + 2 r)^{3} + (x + 3 r)^{3} + (x + 4 r)^{3} = y^{p}$ , which is a natural continuation of previous works carried out b…