Results 41 to 50 of about 216 (184)
A Resource-Friendly Certificateless Proxy Signcryption Scheme for Drones in Networks beyond 5G
Drones, 2023 Security and privacy issues were long a subject of concern with drones from the past few years. This is due to the lack of security and privacy considerations in the design of the drone, which includes unsecured wireless channels and insufficient ...
Muhammad Asghar Khan +6 more
doaj +1 more source
Mathematika, Volume 72, Issue 2, April 2026.Abstract In this paper, we study traces of Hecke operators on Drinfeld modular forms of level 1 in the case A=Fq[T]$A = \mathbb {F}_q[T]$. We deduce closed‐form expressions for traces of Hecke operators corresponding to primes of degree at most 2 and provide algorithms for primes of higher degree.
Sjoerd de Vries
wiley +1 more source
IEEE Access, 2022 The Industrial Internet of Things (IIoT) community is concerned about the security of wireless communications between interconnected industries and autonomous systems.
Insaf Ullah +7 more
doaj +1 more source
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
Fields of Moduli of Hyperelliptic Curves [PDF]
Mathematical Research Letters, 2007 Let F be an algebraically closed field with char(F) not equal to 2, let F/K be a Galois extension, and let X be a hyperelliptic curve defined over F. Let ιbe the hyperelliptic involution of X. We show that X can be defined over its field of moduli relative to the extension F/K if Aut(X)/ is not cyclic.
openaire +2 more sources
Modular equations for hyperelliptic curves [PDF]
Mathematics of Computation, 2004 We define modular equations describing the ℓ \ell
Gaudry, Pierrick, Schost, Eric
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Canonical differential equations beyond genus one
Journal of High Energy PhysicsWe discuss for the first time canonical differential equations for hyperelliptic Feynman integrals. We study hyperelliptic Lauricella functions that include in particular the maximal cut of the two-loop non-planar double box, which is known to involve a ...
Claude Duhr +2 more
doaj +1 more source
f$f$‐Diophantine sets over finite fields via quasi‐random hypergraphs from multivariate polynomials
Mathematika, Volume 72, Issue 2, April 2026.Abstract We investigate f$f$‐Diophantine sets over finite fields via new explicit constructions of families of quasi‐random hypergraphs from multivariate polynomials. In particular, our construction not only offers a systematic method for constructing quasi‐random hypergraphs but also provides a unified framework for studying various hypergraphs ...
Seoyoung Kim, Chi Hoi Yip, Semin Yoo
wiley +1 more source
N-Covers of hyperelliptic curves [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2003 Let \(K\) be a number field and \(O_K\) its ring of integers. Let \(n\) be an integer \(\geq 2\). The authors study hyperelliptic curves which are given by an equation of the form \[ Y^2= g(X)^2+ ah(X)^n,\tag{1} \] where \(g(X)\) is of degree \(n\), \(h(X)\) is of degree 2, and where \(g(X)\), \(h(X)\) belong to \(O_K[X]\) and \(a\in O_K\).
Bruin, N, Flynn, E
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Diophantine tuples and product sets in shifted powers
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract Let k⩾2$k\geqslant 2$ and n≠0$n\ne 0$. A Diophantine tuple with property Dk(n)$D_k(n)$ is a set of positive integers A$A$ such that ab+n$ab+n$ is a k$k$th power for all a,b∈A$a,b\in A$ with a≠b$a\ne b$. Such generalizations of classical Diophantine tuples have been studied extensively.
Ernie Croot, Chi Hoi Yip
wiley +1 more source