Results 81 to 90 of about 198,499,059 (216)
Computing all integer solutions of a genus 1 equation [PDF]
The Elliptic Logarithm Method has been applied with great successto the problem of computing all integer solutions of equations ofdegree 3 and 4 defining elliptic curves. We extend this methodto include any equation f(u,v)=0 that defines a curve of genus
Stroeker, R.J., Tzanakis, N.
core
Quadratic Twists of Elliptic Curves [PDF]
, 2011 [[abstract]]Let E be an elliptic curve defined over Q, and for each square-free rational integer d, let E_d denote the the quadratic twist of E by d (in brief, the d-twist). The question concerning the rank rk(Ed(Q)) of the Mordell-Weil group E_d(Q) (the
廖宏銘, Liao, Hung-Min
core
Computing L-Invariants for the Symmetric Square of an Elliptic Curve [PDF]
, 2019 Let E be an elliptic curve over Q, and p≠2 a prime of good ordinary reduction. The p-adic L-function for Sym²E always vanishes at s = 1, even though the complex L-function does not have a zero there.
Gilmore, Hamish Julian +1 more
core +1 more source
Quantum Saturation of the Electro‐Optic Effect
Advanced Materials, EarlyView.At low temperatures, quantum fluctuations saturate the ferroelectric soft mode, suppressing thermal sensitivity in functional properties. By tuning the phase boundaries of ferroelectric materials to 0 K, large temperature insensitive electro‐optic effects are realized, establishing a pathway toward high‐efficiency optical modulation for quantum ...
Aiden Ross +7 more
wiley +1 more source
Millifluidic Synthesis of Core–Shell Resonators For Tunable Sonic BandGaps in Acoustic Metamaterials
Advanced Materials Interfaces, EarlyView.Millimeter‐scale core–shell acoustic resonators are fabricated by a gravity‐assisted dripping approach and incorporated into epoxy composites at controlled volume fractions. The resulting alumina–core resonator composites show tunable low‐frequency acoustic attenuation, demonstrating a scalable route for integrating locally resonant metamaterial units ...
Colton Steiner +5 more
wiley +1 more source
Determination of elliptic curves by their adjoint p-adic L-functions
Journal of Number Theory, 2015 Fix $p$ an odd prime. Let $E$ be an elliptic curve over $\mathbb{Q}$ with semistable reduction at $p$. We show that the adjoint $p$-adic $L$-function of $E$ evaluated at infinitely many integers prime to $p$ completely determines up to a quadratic twist the isogeny class of $E$.
openaire +3 more sources
Advanced Materials Interfaces, EarlyView.When exposed to light of a defined wavelength, the photoisomerization of azobenzene chromophores leads to polymer reorientation, generating stresses that result in solvent‐facilitated localized delamination of the film from the substrate. Additionally, blisters that form spontaneously when exposed to an aqueous environment can be manipulated via ...
James Robert Benson +4 more
wiley +1 more source
Cyclicity of elliptic curves over function fields [PDF]
, 2005 Let K be a global function field over a finite field F containing q elements. Let E be an elliptic curve defined over K. For a prime P in K we can reduce the elliptic curve mod P and get an elliptic curve over a finite extension of F. The group of points
Karabina, Koray
core +1 more source
Advanced Materials Technologies, EarlyView.A closed U‐shaped microfluidic platform symmetrically embeds a single, size‐controlled HT29 colorectal cancer spheroid within a GFP‐HUVEC‐laden fibrin matrix. HT29 spheroids are associated with hyper‐branched endothelial network remodeling, while vascularized co‐culture is accompanied by anisotropic protrusive growth and EMT‐like marker changes in the ...
G. Cretti +4 more
wiley +1 more source
New Formulae for Efficient Elliptic Curve Arithmetic [PDF]
, 2007 This paper is on efficient implementation techniques of Elliptic Curve Cryptography. In particular, we improve timings for Jacobi-quartic (3M+4S) and Hessian (7M+1S or 3M+6S) doubling operations.
Carter, Gary P. +2 more
core +1 more source