3 papers
math.NT2026
An analogue of Kida's formula for Mazur-Tate elements
Naman Pratap, Anwesh Ray
We prove an analogue of Kida's formula for the Iwasawa invariants of the Mazur-Tate elements attached to elliptic curves over . Let be an odd prime and let be…
math.NT2025
On the maximality of the -invariants of Mazur--Tate elements
Antonio Lei, Robert Pollack, Naman Pratap
Let be an elliptic curve with good ordinary reduction at an odd prime . Assuming that Greenberg's conjecture holds, we show that the -invariants of the Mazur--Tat…
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…