Giovanna De Lauri

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math.NT2026

Hecke modules associated to certain even ternary lattices of half-discriminant $N^{2}$

Samadrito Bhattacharyya, Giovanna De Lauri, Dan Fretwell

We consider Hecke modules of orthogonal modular forms attached to definite even ternary lattices of half-discriminant $N^{2}$ , where $N > 1$ is odd and square-free. We prove explicit…

math.NT2026

On smooth elements in arithmetic semigroups

Giovanna De Lauri, Dan Fretwell, Jack Ye

In this paper we explore the concept of smoothness in arithmetic semigroups. In particular, we give explicit asymptotics for the counting function $Ψ_{G} (x, y)$ when the arithmetic se…

Hecke modules associated to certain even ternary lattices of half-discriminant N2

On smooth elements in arithmetic semigroups

Hecke modules associated to certain even ternary lattices of half-discriminant $N^{2}$