A. Medvedovsky

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math.NT2024

Euler-Kronecker constants of modular forms: beyond Dirichlet $L$ -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 $L$ -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 $I^\cdot$ -function, analogous to the sequence $I^´_{ℓ} := 2 4^{- 1} (mod ℓ)$ on which exception…

math.NT2024

Mod- $2$ Hecke algebras of level $3$ and $5$

Shaunak V. Deo, Anna Medvedovsky

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

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

On the parity of coefficients of eta powers

Mod-2 Hecke algebras of level 3 and 5

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

Mod- $2$ Hecke algebras of level $3$ and $5$