Found 1,488 Documents (Results 1–100)
Lag projective synchronization of discrete-time fractional-order quaternion-valued neural networks with time delays. (English) Zbl 07916788
On the linear recurrence of (generalized) hybrid numbers sequences and moment problems. (English) Zbl 07913029
Adaptive synchronization of quaternion-valued neural networks with reaction-diffusion and fractional order. (English) Zbl 07908547
A uniform characterization of the octonions and the quaternions using commutators. (English) Zbl 07903874
Uncertainty principles for the biquaternion offset linear canonical transform. (English) Zbl 07901415
Fixed/preassigned-time synchronization of quaternion-valued BAM neural networks: an event-based non-separation control method. (English) Zbl 07900567
Projective synchronization in fixed/predefined-time for quaternion-valued BAM neural networks under event-triggered aperiodic intermittent control. (English) Zbl 07900561
Generalized exponential stability of neutral stochastic quaternion-valued neural networks with variable coefficients and infinite delay. (English) Zbl 07899420
Adaptive finite-time synchronization of quaternion-valued inertial neural networks with mixed delays under quantized event-triggered impulsive strategy. (English) Zbl 07887366
Invariant measures on \(p\)-adic Lie groups: the \(p\)-adic quaternion algebra and the Haar integral on the \(p\)-adic rotation groups. (English) Zbl 07880225
Stability and synchronization of octonion-valued neural networks with leakage and mixed delays on time scales. (English) Zbl 07878239
Short time quaternion quadratic phase Fourier transform and its uncertainty principles. (English) Zbl 07877964
Real and complex solutions of the total least squares problem in commutative quaternionic theory. (English) Zbl 07862467
An algebraic algorithm for the diagonalization of a biquaternion matrix in the biquaternionic mechanics. (English) Zbl 07862453
Publisher’s note: “A new division algebra representation of \(E_6\) from \(E_8\)”. (English) Zbl 07860728
Cubic sublattices. (English) Zbl 1539.52013
New quadratic phase Wigner distribution and ambiguity function with applications to LFM signals. (English) Zbl 1539.42004
Extending Lasenby’s embedding of octonions in space-time algebra \(Cl(1, 3)\), to all three- and four dimensional Clifford geometric algebras \(Cl(p, q)\), \(n = p + q = 3, 4\). (English) Zbl 1537.15018
Some uncertainty principles for the right-sided multivariate continuous quaternion wavelet transform. (English) Zbl 1537.42006
Generalized fusion frame in quaternionic Hilbert spaces. (English) Zbl 07840476
Reviewer: Morteza Mirzaee Azandaryani (Qom)
Deuring for the people: supersingular elliptic curves with prescribed endomorphism ring in general characteristic. (English) Zbl 07840419
Cremona, John (ed.) et al., LuCaNT: LMFDB, computation, and number theory. Conference, Institute for Computational and Experimental Research in Mathematics (ICERM), Providence, Rhode Island, USA, July 10–14, 2023. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 796, 339-373 (2024).
A new division algebra representation of \(E_6\) from \(E_8\). (A new division algebra representation of \(E_7\) from \(E_8\).) (English) Zbl 1535.17006
J. Math. Phys. 65, No. 3, Article ID 031703, 16 p. (2024); publisher’s note ibid. 65, No. 5, Article ID 059903, 1 p. (2024).
Boas type results for two-sided quaternion Fourier transform and uniform Lipschitz spaces. (English) Zbl 1535.42008
Ideal classes of orders in quaternion algebras. (English) Zbl 07821468
Reviewer: Henri Johnston (Exeter)
Convergence of improper Iwasawa continued fractions. (English) Zbl 07819753
Reviewer: Alexey Ustinov (Khabarovsk)
First-order definability of Darmon points in number fields. arXiv:2410.03033
Preprint, arXiv:2410.03033 [math.NT] (2024).
Generalizing Hurwitz’s quaternionic proof of Lagrange’s and Jacobi’s four-square theorems. arXiv:2409.16970
Preprint, arXiv:2409.16970 [math.NT] (2024).
Endomorphism Rings of Supersingular Elliptic Curves and Quadratic Forms. arXiv:2409.11025
Preprint, arXiv:2409.11025 [math.NT] (2024).
Division Algebras and Quadratic Reciprocity. arXiv:2407.03447
Preprint, arXiv:2407.03447 [math.RA] (2024).
Asymptotics of extensions of simple \(\mathbb Q\)-algebras. arXiv:2405.17286
Preprint, arXiv:2405.17286 [math.NT] (2024).
Abelian varieties that split modulo all but finitely many primes. arXiv:2404.08496
Preprint, arXiv:2404.08496 [math.NT] (2024).
Regular Polygonal Vortex Filament Evolution and Exponential Sums. arXiv:2403.17758
Preprint, arXiv:2403.17758 [math.NT] (2024).
On Companion sequences associated with Leonardo quaternions: Applications over finite fields. arXiv:2403.01592
Preprint, arXiv:2403.01592 [math.CO] (2024).
The classification and representations of positive definite ternary quadratic forms of level 4N. arXiv:2402.17443
Preprint, arXiv:2402.17443 [math.NT] (2024).
Algebras of Toeplitz Matrices with Quaternion Entries. arXiv:2402.11332
Preprint, arXiv:2402.11332 [math.RA] (2024).
Connecting Kani’s Lemma and path-finding in the Bruhat-Tits tree to compute supersingular endomorphism rings. arXiv:2402.05059
Preprint, arXiv:2402.05059 [math.NT] (2024).
First-order definability of affine Campana points in the projective line over a number field. arXiv:2401.16354
Preprint, arXiv:2401.16354 [math.NT] (2024).
The Pauli group as Galois group of pure polynomials over Q. arXiv:2401.07338
Preprint, arXiv:2401.07338 [math.NT] (2024).
Sixteen-dimensional Sedenion-like Associative Algebra. arXiv:2401.01166
Preprint, arXiv:2401.01166 [math.AC] (2024).
Results on finite time passivity of fractional-order quaternion-valued neural networks with time delay via linear matrix inequalities. (English) Zbl 07886647
NTRU in quaternion algebras of bounded discriminant. (English) Zbl 1537.94060
Johansson, Thomas (ed.) et al., Post-quantum cryptography. 14th international workshop, PQCrypto 2023, College Park, MD, USA, August 16–18, 2023. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 14154, 256-290 (2023).
On the key generation in SQISign. (English) Zbl 1534.94093
Grześkowiak, Maciej (ed.) et al., Number-theoretic methods in cryptology, NuTMiC 22. Selected papers based on the presentations at the 3rd conference, Poznań, Poland, August 2022. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 126, 89-104 (2023).
An isomorphism problem for objects in categories related to finite dimensional division algebras having Henselian valuations. (Russian. English summary) Zbl 1535.16030
Theories and applications associated with biquaternion linear canonical transform. (English) Zbl 1530.42008
Stability and Hopf bifurcation for a quaternion-valued three-neuron neural network with leakage delay and communication delay. (English) Zbl 1530.93377
Pseudo-differential operator in quaternion space. (English) Zbl 1539.42006
Reviewer: Vishvesh Kumar (Delhi)
Generalized quaternion algebras. (English) Zbl 07783245
A direct analysis method to state bounding for high-order quaternion Hopfield neural networks with mixed delays and bounded disturbances. (English) Zbl 1530.93149
Number of Kummer structures and moduli spaces of generalized Kummer surfaces. (English) Zbl 1524.14085
Reviewer: Piotr Pokora (Kraków)
Bianchi and Hilbert-Blumenthal quaternionic orbifolds. (English) Zbl 07760996
Reviewer: Bouchaïb Sodaïgui (Valenciennes)
Factorization and root-finding for polynomials over division quaternion algebras. (English) Zbl 1527.11096
Dickenstein, Alicia (ed.) et al., Proceedings of the 48th international symposium on symbolic and algebraic computation, ISSAC, Tromsø, Norway, July 24–27, 2023. New York, NY: Association for Computing Machinery (ACM). 417-424 (2023).
Reviewer: Hans-Peter Schröcker (Innsbruck)
Dual Boas type results for the quaternion transform and generalized Lipschitz spaces. (English) Zbl 1525.42029
Preassigned-time projective synchronization of delayed fully quaternion-valued discontinuous neural networks with parameter uncertainties. (English) Zbl 1525.93423
Fixed-time synchronization for quaternion-valued memristor-based neural networks with mixed delays. (English) Zbl 1525.93406
Fixed-time and prescribed-time synchronization of quaternion-valued neural networks: a control strategy involving Lyapunov functions. (English) Zbl 1525.93387
Gelfand-Kirillov dimension and mod \(p\) cohomology for \(\mathrm{GL}_2 \). (English) Zbl 1537.11077
Reviewer: Andrzej Dąbrowski (Szczecin)
Maximal algebraic extensions of left division rings. (Extensions algébriques maximales de corps gauches.) (French. English summary) Zbl 1530.12002
Reviewer: El Hassane Fliouet (Agadir)
Orienteering with one endomorphism. (English) Zbl 1524.14057
Reviewer: Juan Tena Ayuso (Valladolid)
\(k\)-ambiguity function in the framework of offset linear canonical transform. (English) Zbl 1521.94011
An explicit comparison of anticyclotomic \(p\)-adic \(L\)-functions for Hida families. (English) Zbl 07739854
Reviewer: Andrzej Dąbrowski (Szczecin)
Common values of generalized Fibonacci and Leonardo sequences. (English) Zbl 1533.11050
Reviewer: Mahadi Ddamulira (Kampala)
Hybrid bounds for the sup-norm of automorphic forms in higher rank. (English) Zbl 1539.11075
Reviewer: Anton Deitmar (Tübingen)
Investigating generalized quaternions with dual-generalized complex numbers. (English) Zbl 1538.11188
A certain decomposition of infinite invertible matrices over division algebras. (English) Zbl 1519.15012
Hurwitz’s lectures on the number theory of quaternions. (English) Zbl 1526.01002
Heritage of European Mathematics. Berlin: European Mathematical Society (EMS) (ISBN 978-3-98547-011-2/hbk; 978-3-98547-511-7/ebook). xvii, 293 p. (2023).
Reviewer: Franz Lemmermeyer (Jagstzell)
Almost periodic oscillation of octonion-valued neural networks with delays on time scales. (English) Zbl 1520.93444
Classification of involutive automorphisms and anti-automorphisms of the Lie algebra of quaternions. (English) Zbl 1530.16041
Reviewer: Bijan Davvaz (Yazd)
Generating hyperbolic isometry groups by elementary matrices. (English) Zbl 1526.20076
Reviewer: Danail Brezov (Sofia)
Counting intersection numbers of closed geodesics on Shimura curves. (English) Zbl 1536.11090
Reviewer: Salman Abdulali (Greenville)
Fixed/preassigned-time synchronization of quaternion-valued neural networks involving delays and discontinuous activations: a direct approach. (English) Zbl 1524.93059
A \(p\)-adic Maass-Shimura operator on Mumford curves. (English. French summary) Zbl 1526.11015
Reviewer: Andrzej Dąbrowski (Szczecin)
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