Results 31 to 40 of about 9,407 (175)
Cyclotomic numerical semigroups
, 2016 Given a numerical semigroup $S$, we let $\mathrm P_S(x)=(1-x)\sum_{s\in S}x^s$ be its semigroup polynomial. We study cyclotomic numerical semigroups; these are numerical semigroups $S$ such that $\mathrm P_S(x)$ has all its roots in the unit disc.
Ciolan, Emil-Alexandru +2 more
core +1 more source
On the ρ-values of complete families of pairing-friendly elliptic curves
Journal of Mathematical Cryptology, 2012 The parameter ρ of a complete family of pairing-friendly elliptic curves represents how suitable some given elliptic curves are in pairing-based cryptographic schemes. The superiority of the curves depends on how close ρ is to 1.
Okano Keiji
doaj +1 more source
A New Provably Secure Cryptosystem Using Dedekind Domain Direct Product Approach
Ratio Mathematica, 2018 We would like to prevent, detect, and protect communication and information systems' attacks, which include unauthorized reading of a message of file and traffic analysis or active attacks, such as modification of messages or files, and denial of service
Amir Hassani Karbasi
doaj +1 more source
Engineering Reports, Volume 8, Issue 4, April 2026.Smart meter (SM): Collect the data of users' electricity consumption periodically, and preprocess the noise reduction by using the Robust Local Weighted Regression algorithm, then encrypt the private data in it by Boneh‐Goh‐Nissim homomorphic encryption, and submit the encrypted private data to the fog node.
Jiangtao Guo +5 more
wiley +1 more source
A P‐adic class formula for Anderson t‐modules
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract In 2012, Taelman proved a class formula for L$L$‐series associated to Drinfeld Fq[θ]$\mathbb {F}_q[\theta]$‐modules and considered it as a function field analogue of the Birch and Swinnerton‐Dyer conjecture. Since then, Taelman's class formula has been generalized to the setting of Anderson t$t$‐modules.
Alexis Lucas
wiley +1 more source
Inverse cyclotomic polynomials
Journal of Number Theory, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +3 more sources
Bounds on ternary cyclotomic coefficients
, 2008 We present a new bound on $A = \max_n |a_{pqr}(n)|$, where $a_{pqr}(n)$ are the coefficients of a ternary cyclotomic polynomial.
Bzdega, Bartlomiej
core +2 more sources
Ordinary primes for GL2$\operatorname{GL}_2$‐type abelian varieties and weight 2 modular forms
Mathematika, Volume 72, Issue 2, April 2026.Abstract Let A$A$ be a g$g$‐dimensional abelian variety defined over a number field F$F$. It is conjectured that the set of ordinary primes of A$A$ over F$F$ has positive density, and this is known to be true when g=1,2$g=1, 2$, or for certain abelian varieties with extra endomorphisms.
Tian Wang, Pengcheng Zhang
wiley +1 more source
An integral formula for the coefficients of the inverse cyclotomic polynomial
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaSome recent advances related to an integral formula for the coefficients of inverse cyclotomic polynomials, including applications and numerical simulations are given.
Andrica Dorin +2 more
doaj +1 more source
Cyclotomy and permutation polynomials of large indices [PDF]
, 2012 We use cyclotomy to design new classes of permutation polynomials over finite fields. This allows us to generate many classes of permutation polynomials in an algorithmic way.
Wang, Qiang
core