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math.NT2024
The constructive inverse Galois problem via Hilbert modular forms: realizing the transitive group 17T7
Raymond van Bommel, Edgar Costa, Noam D. Elkies +3
We show how Hilbert modular forms can be used in the constructive inverse Galois problem over the rationals. In particular, we prove that the transitive permutation group 17T7, iso…
math.NT2024
-converse theorems for elliptic curves of potentially good ordinary reduction at Eisenstein primes
Timo Keller, Mulun Yin
Let be an elliptic curve and be a prime. We prove the -converse theorems for elliptic curves of potentially good ordinary reduction at Eisenstein primes…
math.NT2024★ 2 cited
On the anticyclotomic Iwasawa theory of newforms at Eisenstein primes of semistable reduction
Timo Keller, Mulun Yin
Let be a newform of weight and level with trivial nebentypus. Let be a maximal ideal of the ring of integers of the coefficient field of s…