Luca Ghidelli

most citedMultigraded Koszul complexes, filter-regular sequences and lower bounds for the multiplicity of the resultant

1 citations · 2 across the 4 of their papers we have counts for

collaborators

4 papers

math.NT2020

Convergence of Ramanujan expansions, I [Multiplicativity on Ramanujan clouds]

Giovanni Coppola, Luca Ghidelli

We call $R_{G} (a) := \sum_{q = 1}^{\infty} G (q) c_{q} (a)$ the 'Ramanujan series', of coefficient $G :$ N $\to$ C, where $c_{q} (a)$ is the well-known Ramanujan sum. We study the convergence of this…

math.AC2019★ 1 cited

Multigraded Koszul complexes, filter-regular sequences and lower bounds for the multiplicity of the resultant

Luca Ghidelli

The Rémond resultant attached to a multiprojective variety and a sequence of multihomogeneous polynomials is a polynomial form in the coefficients of the polynomials, which vanishe…

math.NT2019

On gaps between sums of four fourth powers

Luca Ghidelli

We prove that for almost all $N$ there is a sum of four fourth powers in the interval $(N - N^{γ}, N]$ , for all $γ > 4059/16384 = 0.24774..$ .

math.NT2019★ 1 cited

Arithmetic properties of cubic and biquadratic theta series

Luca Ghidelli

A cubic (resp. biquadratic) theta series is a power series whose n-th coefficient is equal to 1 if n is a perfect cube (resp. fourth power) and zero otherwise. We improve on a resu…