Results 61 to 70 of about 537 (169)
The modular automorphisms of quotient modular curves
Abstract We obtain the modular automorphism group of any quotient modular curve of level N$N$, with 4,9∤N$4,9\nmid N$. In particular, we obtain some unexpected automorphisms of order 3 that appear for the quotient modular curves when the Atkin–Lehner involution w25$w_{25}$ belongs to the quotient modular group. We also prove that such automorphisms are
Francesc Bars, Tarun Dalal
wiley +1 more source
This work introduces a multiagent deep reinforcement learning (MADRL) framework for energy harvesting (EH) in unmanned aerial vehicle (UAV) networks aided by reconfigurable intelligent surfaces (RIS). The core goal is to maximize quantities of harvested energy subject to quality of service (QoS) constraints in dynamic wireless setups.
Syed Mohsin Bokhari +5 more
wiley +1 more source
Stabilizing massless fields with fluxes in Landau-Ginzburg models
Recent work on flux compactifications suggests that the tadpole constraint generically allows only a limited number of complex structure moduli to become massive, i.e., be stabilized at quadratic order in the spacetime superpotential.
Katrin Becker +4 more
doaj +1 more source
On the emergence of the Quanta Prime sequence
This paper presents the Quanta Prime Sequence (QPS) and its foundational theorem, showcasing a unique class of polynomials with substantial implications.
Moustafa Ibrahim
doaj +1 more source
Beyond Expansion IV: Traces of Thin Semigroups
Beyond Expansion IV: Traces of Thin Semigroups, Discrete Analysis 2018:6, 27 pp. This is the fourth in a series of papers by Bourgain and Kontorovich that study the arithmetic properties of groups and semigroups of 2-by-2 integer matrices.
Jean Bourgain, Alex Kontorovich
doaj +1 more source
Deriving Binomial Convolution Formulas for Horadam Sequences via Context-Free Grammars
The Horadam sequence Hn(a,b;p,q) unifies a number of well-known sequences, such as Fibonacci and Lucas sequences. We use the context-free grammars as a new tool to study Horadam sequences.
Jun-Ying Liu +3 more
doaj +1 more source
JEŚMANOWICZ' CONJECTURE WITH FERMAT NUMBERS
Let $a,b,c$ be relatively prime positive integers such that $a^{2}+b^{2}=c^{2}.$ In 1956, Je\'{s}manowicz conjectured that for any positive integer $n$, the only solution of $(an)^{x}+(bn)^{y}=(cn)^{z}$ in positive integers is $(x,y,z)=(2,2,2)$. Let $k\geq 1$ be an integer and $F_k=2^{2^k}+1$ be $k$-th Fermat number.
Tang, Min, Weng, Jian-Xin
openaire +2 more sources
Producing focused extreme ultraviolet vortex with Fermat-spiral photon sieves
Extreme ultraviolet (EUV) light is difficult to focus due to strong absorption of most materials. Photon sieves (PS), rather than Fresnel zone plates (FZP), can focus EUV to smaller spot and suppress the higher orders of secondary maxima by several ...
Junyong Zhang +7 more
doaj +1 more source
Coverings of solenoids and automorphisms of semigroup C*-algebras
The paper deals with finite-sheeted covering mappings onto the C*-adic solenoids and limit endomorphisms of semigroup C*-algebras. The aim of our exposition is two-fold: firstly, to present the results concerning the above-mentioned mappings and ...
R.N. Gumerov
doaj
Note on Fermat’s numbers [PDF]
Morehead, J. C., Western, A. E.
openaire +2 more sources

