1 citations · 2 across the 3 of their papers we have counts for
6 papers
The topological Petersson product
Luca Candelori, Andrew Salch
The nondegeneracy of the Petersson inner product on cusp forms, and the fact that Hecke operators are self-adjoint with respect to the Petersson product, together imply that the cu…
Quantum Neuron with Separable-State Encoding
London A. Cavaletto, Luca Candelori, Alex Matos-Abiague
The use of advanced quantum neuron models for pattern recognition applications requires fault tolerance. Therefore, it is not yet possible to test such models on a large scale in c…
Topological Hecke eigenforms
Luca Candelori, Andrew Salch
We study the eigenforms of the action of A. Baker's Hecke operators on the holomorphic elliptic homology of various topological spaces. We prove a multiplicity one theorem (i.e., o…
Period relations for Riemann surfaces with many automorphisms
Luca Candelori, Jack Fogliasso, Christopher Marks +1
By employing the theory of vector-valued automorphic forms for non-unitarizable representations, we provide a new bound for the number of linear relations with algebraic coefficien…
Indecomposable vector-valued modular forms and periods of modular curves
Luca Candelori, Tucker Hartland, Christopher Marks +1
We classify the three-dimensional representations of the modular group that are reducible but indecomposable, and their associated spaces of holomorphic vector-valued modular forms…
A geometric perspective on p-adic properties of mock modular forms
Luca Candelori, Francesc Castella
Bringmann, Guerzhoy and Kane have shown how to correct mock modular forms by a certain linear combination of the Eichler integral of their shadows in order to obtain p-adic modular…