Zobrazeno 1 - 10
of 120
pro vyhledávání: '"Molteni, Giuseppe"'
For every $\alpha \in (0,+\infty)$ and $p,q \in (1,+\infty)$ let $T_\alpha$ be the operator $L^p[0,1]\to L^q[0,1]$ defined via the equality $(T_\alpha f)(x) := \int_0^{x^\alpha} f(y) d y$. We study the norms of $T_\alpha$ for every $p$, $q$. In the c
Externí odkaz:
http://arxiv.org/abs/2408.17124
Let $d$ be any positive and non square integer. We prove an upper bound for the first two moments of the length $T(d)$ of the period of the continued fraction expansion for $\sqrt{d}$. This allows to improve the existing results for the large deviati
Externí odkaz:
http://arxiv.org/abs/2401.13118
Autor:
Grenié, Loïc, Molteni, Giuseppe
Under the assumption of the validity of the Generalized Riemann Hypothesis, we prove that the class group of every field of degree $n$ and discriminant with absolute value $\Delta$ can be generated using prime ideals with norm $\leq (4-1/(2n))\log^2\
Externí odkaz:
http://arxiv.org/abs/2212.09461
Current methods for the classification of number fields with small regulator depend mainly on an upper bound for the discriminant, which can be improved by looking for the best possible upper bound of a specific polynomial function over an hypercube.
Externí odkaz:
http://arxiv.org/abs/2211.16842
Pattern classification with compact representation is an important component in machine intelligence. In this work, an analytic bridge solution is proposed for compressive classification. The proposal has been based upon solving a penalized error for
Externí odkaz:
http://arxiv.org/abs/2203.09721
Publikováno v:
In Information Sciences November 2023 648
For any integer $N \geq 1$, let $\mathfrak{E}_N$ be the set of all Egyptian fractions employing denominators less than or equal to $N$. We give upper and lower bounds for the cardinality of $\mathfrak{E}_N$, proving that $$ \frac{N}{\log N} \prod_{j
Externí odkaz:
http://arxiv.org/abs/1906.11986
Autor:
Grenié, Loïc, Molteni, Giuseppe
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.
Comment: We have improved the introduction and made clearer some c
Comment: We have improved the introduction and made clearer some c
Externí odkaz:
http://arxiv.org/abs/1906.01994
Publikováno v:
C. R. Acad. Sci. Paris, Ser. I., 2018. Volume 356, Issues 11-12, 1062-1074
For every $\tau\in\mathbb{R}$ and every integer $N$, let $\mathfrak{m}_N(\tau)$ be the minimum of the distance of $\tau$ from the sums $\sum_{n=1}^N s_n/n$, where $s_1, \ldots, s_n \in \{-1, +1\}$. We prove that $\mathfrak{m}_N(\tau) < \exp\!\big(-C(
Externí odkaz:
http://arxiv.org/abs/1806.05402