Claudia Alfes

works on

dyson rank 1 elliptic functions 1 mock modular forms 1 partition theory 1 theta decomposition 1

From the 1 of 3 linked papers with an AI index.

collaborators

3 papers

math.NT2026

Beyond Mock Modularity: Elliptic Corrections for Higher Dyson Ranks

Claudia Alfes, Ken Ono, Ashvin Swaminathan

The paper investigates generating functions for higher Dyson ranks, revealing a hidden elliptic structure and providing explicit polynomial obstructions and correction terms that l…

math.NT2026

Magnetic orthogonal modular forms

Claudia Alfes, Paul Kiefer

In this note we show that certain meromorphic orthogonal modular forms are magnetic, i.e.\ their Fourier coefficients satisfy special divisibility criteria. These meromorphic ortho…

math.CO2025

Symplectic Hecke eigenbases from Ehrhart polynomials

Claudia Alfes, Joshua Maglione, Christopher Voll

For $n \in N$ and $ℓ \in {0, 1, \dots, n}$ , we consider the function extracting the $ℓ$ th coefficient of the Ehrhart polynomials of lattice polytopes in $R^{n}$ . T…