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20172024
most citedNilpotence order growth of recursion operators in characteristic p

3 citations · 4 across the 7 of their papers we have counts for

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8 papers

math.NT2024★ 1 cited

Euler-Kronecker constants of modular forms: beyond Dirichlet -series

Steven Charlton, Anna Medvedovsky, Pieter Moree

The Euler-Kronecker constants related to congruences of Fourier coefficients of modular forms that have been computed so far, involve logarithmic derivatives of Dirichlet -serie…

math.NT2024

On the parity of coefficients of eta powers

Steven Charlton, Lukas Mauth, Anna Medvedovsky

We consider a special subsequence of the Fourier coefficients of powers of the Dedekind -function, analogous to the sequence on which exceptional…

math.NT2022

Mod- Hecke algebras of level and

Shaunak V. Deo, Anna Medvedovsky

We use deformation theory to study the big Hecke algebra acting on mod-2 modular forms of prime level and all weights, especially its local component at the trivial representat…

math.CO2022

Deep congruences + the Brauer-Nesbitt theorem

Samuele Anni, Alexandru Ghitza, Anna Medvedovsky

We prove that mod- congruences between polynomials in are equivalent to deeper -power congruences between power-sum functions of their roots. This result ge…

math.NT2019

Big images of two-dimensional pseudorepresentations

Andrea Conti, Jaclyn Lang, Anna Medvedovsky

Bellaïche has recently applied Pink-Lie theory to prove that, under mild conditions, the image of a continuous 2-dimensional pseudorepresentation of a profinite group on a loca…

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…

math.NT2017★ 3 cited

Nilpotence order growth of recursion operators in characteristic p

Anna Medvedovsky

We prove that the killing rate of certain degree-lowering "recursion operators" on a polynomial algebra over a finite field grows slower than linearly in the degree of the polynomi…