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math.NT2024
Galois representations are surjective for almost all Drinfeld modules
Anwesh Ray
This article advances the results of Duke on the average surjectivity of Galois representations for elliptic curves to the context of Drinfeld modules over function fields. Let …
math.NT2024
Statistics for Iwasawa invariants of elliptic curves,
Anwesh Ray
Given a prime , a conjecture of Greenberg predicts that the -invariant of the -primary Selmer group should vanish for most elliptic curves with good ordinary reducti…
math.NT2024★ 1 cited
An analogue of Kida's formula for elliptic curves with additive reduction
Anwesh Ray, Pratiksha Shingavekar
We study the Iwasawa theory of -primary Selmer groups of elliptic curves over a number field . Assume that has additive reduction at the primes of above . In t…