G. Molteni

activity

20182022

collaborators

6 papers

cs.LG2022

Deterministic Bridge Regression for Compressive Classification

Kar-Ann Toh, Giuseppe Molteni, Zhiping Lin

Pattern classification with compact representation is an important component in machine intelligence. In this work, an analytic bridge solution is proposed for compressive classifi…

math.NT2021

An elementary proof for a generalization of a Pohst's inequality

Francesco Battistoni, Giuseppe Molteni

Let $P_{n} (y_{1}, \dots, y_{n}) := \prod_{1 \leq i < j \leq n} (1 - \frac{y _{i}}{y _{j}})$ and $P_{n} := sup_{(y_{1}, \dots, y_{n})} P_{n} (y_{1}, \dots, y_{n})$ where the supremum is taken over the $n…

math.NT2019

Counting Egyptian fractions

Sandro Bettin, Loïc Grenié, Giuseppe Molteni +1

For any integer $N \geq 1$ , let $E_{N}$ be the set of all Egyptian fractions employing denominators less than or equal to $N$ . We give upper and lower bounds for the cardi…

math.NT2019

Conditional upper bound for the k-th prime ideal with given Artin symbol

Loïc Grenié, Giuseppe Molteni

We prove an explicit upper bound for the k-th prime ideal with fixed Artin symbol, under the assumption of the validity of the Riemann hypothesis for the Dedekind zeta functions.

math.NT2018

Small values of signed harmonic sums

Sandro Bettin, Giuseppe Molteni, Carlo Sanna

For every $τ \in R$ and every integer $N$ , let $m_{N} (τ)$ be the minimum of the distance of $τ$ from the sums $\sum_{n = 1}^{N} s_{n} / n$ , where $s_1, \ldots, s_n \in \{-1…

math.NT2018

Greedy approximations by signed harmonic sums and the Thue--Morse sequence

Sandro Bettin, Giuseppe Molteni, Carlo Sanna

Given a real number $τ$ , we study the approximation of $τ$ by signed harmonic sums $σ_{N} (τ) := \sum_{n \leq N} s_{n} (τ) / n$ , where the sequence of signs $(s_{N} (τ))_{N \in N}$ i…