Divisibility of L-polynomials for a family of Artin–Schreier curves
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Pure and Applied Algebra"
DOI: 10.1016/j.jpaa.2018.11.005
Abstract: In this paper we consider the curves $C_k^{(p,a)} : y^p-y=x^{p^k+1}+ax$ defined over $\mathbb F_p$ and give a positive answer to a conjecture about a divisibility condition on $L$-polynomials of the curves $C_k^{(p,a)}$. Our proof involves… read more here.
Keywords: artin schreier; schreier curves; family artin; divisibility ... See more keywords
Generalized formalism for information backflow in assessing Markovianity and its equivalence to divisibility
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review A"
DOI: 10.1103/physreva.97.032130
Abstract: We present a general framework for the information backflow (IB) approach of Markovianity, that not only includes a large number, if not all, of IB prescriptions proposed so far, but also is equivalent to CP-divisibility… read more here.
Keywords: information; information backflow; divisibility; formalism information ... See more keywords
Divisibility Networks of the Rational Numbers in the Unit Interval
Sign Up to like & getrecommendations! Published in 2020 at "Symmetry"
DOI: 10.3390/sym12111879
Abstract: Divisibility networks of natural numbers present a scale-free distribution as many other process in real life due to human interventions. This was quite unexpected since it is hard to find patterns concerning anything related with… read more here.
Keywords: unit interval; divisibility; rational numbers; numbers unit ... See more keywords