Results 61 to 70 of about 12,236 (229)
The geometry and arithmetic of bielliptic Picard curves
Journal of the London Mathematical Society, Volume 112, Issue 5, November 2025.Abstract We study the geometry and arithmetic of the curves C:y3=x4+ax2+b$C \colon y^3 = x^4 + ax^2 + b$ and their associated Prym abelian surfaces P$P$. We prove a Torelli‐type theorem in this context and give a geometric proof of the fact that P$P$ has quaternionic multiplication by the quaternion order of discriminant 6.
Jef Laga, Ari Shnidman
wiley +1 more source
CREATION OF SEQUENCES OF SINGULAR 3-TUPLES THROUGH ABEL AND CYCLOTOMIC POLYNOMIAL WITH COMMENSURABLE PROPERTY [PDF]
, 2023 R Vanaja, V. Pandichelvi
openalex +1 more source
On the linear complexity of a new generalized cyclotomic sequence with length mover GF(h)
Tongxin xuebao, 2017 Based on the Ding-generalized cyclotomy,a new class of generalized cyclotomic sequences with length pm over the finite field of power of odd prime order was constructed,and the sequence was balanced.The linear complexity of the sequences was determined ...
Long-fei LIU, Kai YANG, Xiao-yuan YANG
doaj +2 more sources
Walailak Journal of Science and Technology, 2019 This paper consists of proposal of two constructions of balanced Boolean functions by using powers of primitive elements ...
Dheeraj Kumar Sharma, Rajoo Pandey
doaj +1 more source
On the linear complexity of Sidel'nikov Sequences over Fd [PDF]
, 2006 We study the linear complexity of sequences over the prime field Fd introduced by Sidel’nikov. For several classes of period length we can show that these sequences have a large linear complexity.
Brandstätter, Nina, Meidl, Wilfried
core
Mathematika, Volume 71, Issue 4, October 2025.Abstract Let E$E$ be an elliptic curve defined over Q${\mathbb {Q}}$, and let K$K$ be an imaginary quadratic field. Consider an odd prime p$p$ at which E$E$ has good supersingular reduction with ap(E)=0$a_p(E)=0$ and which is inert in K$K$. Under the assumption that the signed Selmer groups are cotorsion modules over the corresponding Iwasawa algebra ...
Erman Işik, Antonio Lei
wiley +1 more source
Quasi-Cyclic Codes Via Unfolded Cyclic Codes and Their Reversibility
IEEE Access, 2019 The finite field $\mathbb {F}_{q^\ell }$ of $q^\ell $ elements contains $\mathbb {F}_{q}$ as a subfield. If $\theta \in \mathbb {F}_{q^\ell }$ is of degree $\ell $ over $\mathbb {F}_{q}$ , it can be used to unfold elements of $\mathbb {F}_{q^\
Ramy Taki Eldin, Hajime Matsui
doaj +1 more source
Lehmer's conjecture for Hermitian matrices over the Eisenstein and Gaussian integers [PDF]
, 2012 We solve Lehmer's problem for a class of polynomials arising from Hermitian matrices over the Eisenstein and Gaussian integers, that is, we show that all such polynomials have Mahler measure at least Lehmer's number \tau_0 = 1.17628...
Greaves, Gary, Taylor, Graeme
core +2 more sources
Counting primes with a given primitive root, uniformly
Mathematika, Volume 71, Issue 4, October 2025.Abstract The celebrated Artin conjecture on primitive roots asserts that given any integer g$g$ that is neither −1$-1$ nor a perfect square, there is an explicit constant A(g)>0$A(g)>0$ such that the number Π(x;g)$\Pi (x;g)$ of primes p⩽x$p\leqslant x$ for which g$g$ is a primitive root is asymptotically A(g)π(x)$A(g)\pi (x)$ as x→∞$x\rightarrow \infty$
Kai (Steve) Fan, Paul Pollack
wiley +1 more source
Wild blocks of type A$A$ Hecke algebras are strictly wild
Bulletin of the London Mathematical Society, Volume 57, Issue 9, Page 2658-2679, September 2025.Abstract We prove that all wild blocks of type A$A$ Hecke algebras with quantum characteristic e⩾3$e \geqslant 3$ — that is, blocks of weight at least 2 — are strictly wild, with the possible exception of the weight 2 Rouquier block for e=3$e = 3$.
Liron Speyer
wiley +1 more source