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math.NT2018
Newforms mod p in squarefree level, with applications to Monsky's Hecke-stable filtration
Shaunak V. Deo, Anna Medvedovsky, Alexandru Ghitza
We propose an algebraic definition of the space of l-new mod-p modular forms for Gamma0(Nl) in the case that l is prime to N, which naturally generalizes to a notion of newforms mo…
math.NT2018
Mod-2 dihedral Galois representations of prime conductor
Kiran S. Kedlaya, Anna Medvedovsky
For all odd primes N up to 500000, we compute the action of the Hecke operator T_2 on the space S_2(Gamma_0(N), Q) and determine whether or not the reduction mod 2 (with respect to…