2 papers
math.NT2025
On the Iwasawa Invariants of Mazur--Tate elements of elliptic curves at additive primes
Antonio Lei, Robert Pollack, Naman Pratap
We investigate the -invariants of Mazur--Tate elements of elliptic curves defined over the field of rational numbers at primes of additive reduction. We explain their growth and…
math.NT2024
On a conjecture of Mazur predicting the growth of Mordell--Weil ranks in -extensions
Rylan Gajek-Leonard, Jeffrey Hatley, Debanjana Kundu +1
Let be an odd prime. We study Mazur's conjecture on the growth of the Mordell--Weil ranks of an elliptic curve over -extensions of an imaginary qua…