Zobrazeno 1 - 10
of 28
pro vyhledávání: '"Danilo Bazzanella"'
Autor:
Danilo Bazzanella, Andrea Gangemi
Publikováno v:
Financial Innovation, Vol 9, Iss 1, Pp 1-14 (2023)
Abstract Since its inception, bitcoin has used the popular consensus protocol proof-of-work (PoW). PoW has a well-known flaw: it distributes all rewards to a single miner (or pool) who inserts a new block. Consequently, the variance of rewards and th
Externí odkaz:
https://doaj.org/article/c02acd2f0fa6408d832f0accf7e83302
Publikováno v:
Symmetry, Vol 14, Iss 6, p 1087 (2022)
In this paper we consider the ChaCha20 stream cipher in the related-key scenario and we study how to obtain rotational-XOR pairs with nonzero probability after the application of the first quarter round. The ChaCha20 input can be viewed as a 4×4 mat
Externí odkaz:
https://doaj.org/article/2b9d9aa925cb45d19a461467bed28fc0
We study new primality tests based on linear recurrent sequences of degree two exploiting a matrix approach. The classical Lucas test arises as a particular case and we see how it can be easily improved. Moreover, this approach shows clearly how the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::22c3534fd09c8b91a5adf95a02a2d3b5
http://arxiv.org/abs/2002.08062
http://arxiv.org/abs/2002.08062
Autor:
Danilo Bazzanella
Publikováno v:
Acta Mathematica Hungarica. 141:320-328
The smart method of Gelfond–Shnirelman–Nair allows one to obtain a lower bound for the prime counting function \({\pi(x)}\) in an elementary way in terms of integrals of suitable integer polynomials. In this paper we carry on the study of the set
Autor:
Danilo Bazzanella
Publikováno v:
International Journal of Number Theory. :1753-1759
In 1937, Ingham proved that ψ(x + xθ) - ψ(x) ~ xθ for x → ∞, under the assumption of the Lindelöf hypothesis for θ > 1/2. In this paper we examine how the above asymptotic formula holds by assuming in turn two different heuristic hypotheses
Autor:
Danilo Bazzanella
Publikováno v:
Archiv der Mathematik. 97:453-458
Let d(n) denote the number of positive divisors of the natural number n. The aim of this paper is to investigate the validity of the asymptotic formula $$\begin{array}{lll}\sum \limits_{x < n \leq x+h(x)}d(n)\sim h(x)\log x\end{array}$$ for $${x \to
Autor:
Danilo Bazzanella
Publikováno v:
Archiv der Mathematik. 91:131-135
This paper is concerned with the number of primes in short intervals. We prove that \(\psi(x+x^\theta) - \psi(x) \sim x^\theta\), for θ > 1/2, with the assumption of an heuristic hypothesis weaker than the Lindelof hypothesis.
Autor:
Riccardo Camerlo, Danilo Bazzanella
Publikováno v:
Funct. Approx. Comment. Math. 51, no. 2 (2014), 347-362
We study the problem of the existence of a true exceptional set for an asymptotic formula, that is a minimal set --- up to finite modifications --- such that the asymptotic formula holds outside such a set. We give an analytic and a descriptive set t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e962f0e928e849baecf2b7f96f213687
http://hdl.handle.net/11583/2517501
http://hdl.handle.net/11583/2517501
Autor:
Danilo Bazzanella
Publikováno v:
Archiv der Mathematik. 75:29-34
A well known conjecture about the distribution of primes asserts that between two consecutive squares there is always at least one prime number. The proof of this conjecture is quite out of reach at present, even under the assumption of the Riemann H
Publikováno v:
Scopus-Elsevier