3 papers
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…
math.NT2025
The refined Tamagawa number conjectures for
Chan-Ho Kim, Robert Pollack
Let be a cuspidal newform and a prime such that the associated -adic Galois representation has large image. We establish a new and refined "Birch and Swinnerton-D…