Luca Ghidelli

activity

20172026

most citedOn the largest planar graphs with everywhere positive combinatorial curvature (extended arxiv version)

6 citations · 13 across the 10 of their papers we have counts for

collaborators

11 papers

math.NT2026

Non-existence of sets with few special directions

Luca Ghidelli, Gergely Kiss, Gábor Somlai

Let $p$ be an odd prime and let $S \subseteq F_{p}^{2}$ have cardinality divisible by $p$ . We prove that, for all sufficiently large primes $p$ , no such set has exactly four spe…

math.PR2022

Progress on the unfair 0-1-polynomials conjecture using linear recurrences and numerical analysis

Luca Ghidelli

If the product of two monic polynomials with real nonnegative coefficients has all coefficients equal to 0 or 1, does it follow that all the coefficients of the two factors are als…

math.AG2021

Logarithmic bounds on Fujita's conjecture

Luca Ghidelli, Justin Lacini

Let X be a smooth complex projective variety of dimension n. We prove bounds on Fujita's basepoint freeness conjecture that grow as nloglog(n).

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.NT2020★ 1 cited

Multiplicative Ramanujan coefficients of null-function

Giovanni Coppola, Luca Ghidelli

The null-function $0 (a) := 0$ , $\forall a \in$ N, has Ramanujan expansions: $0 (a) = \sum_{q = 1}^{\infty} (1/ q) c_{q} (a)$ (where $c_{q} (a) :=$ Ramanujan sum), given by Ramanujan, and $0(a)=\sum_…

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…