Results 61 to 70 of about 198,499,059 (216)

Multiplication polynomials and relative Manin-Mumford [PDF]

, 2015
After the introduction we prove in chapter 2 that the resultant of the standard multiplication polynomials $A_n,B_n$ of an elliptic curve in the form $y^2 = x^3+ax+b$ is
$(16\Delta)^{{n^2(n^2-1) \over 6}}$, where $\Delta=-(4a^3+27b^2)$ is the ...
Schmidt, Harry
core   +1 more source

L-functions of elliptic curves modulo integers

Journal of Number Theory
29 pages [previously 10 pages]. Expanded version of Chapter 3 of the PhD thesis of the author.
openaire   +2 more sources

Thickness‐Programmable Opto‐Memristive Dynamics in 6‐In Wafer‐Scale Atomic‐Layer‐Controlled WS2 for Reservoir Computing

Advanced Functional Materials, EarlyView.
A 6‐in wafer‐scale atomic‐layer‐controlled tungsten disulfide (WS2) is achieved by combining plasma‐assisted synthesis with three‐gas reactive ion etching. Precise layer control enables tunable band‐gap evolution and pulse‐history‐dependent opto‐memristive dynamics.
Seongho Kim, Muyoung Kim, Junhyung Cho, Yeonho Choi, Gunhyoung Kim, Eunseo Go, Sooji Byun, Minchul Roh, Hyunwoo Shim, Jinhyoung Lee, Byeong‐Seon An, Ki Seok Kim, Seungwoo Song, Min Sup Choi, Taesung Kim, Taehyun Park, Hocheon Yoo, Hyeong‐U Kim   +17 more
wiley   +1 more source

Moments of quadratic twists of elliptic curve L-functions over function fields [PDF]

, 2019
We calculate the first and second moments of L–functions in the family of quadratic twists of a fixed elliptic curve E over Fq[x], asymptotically in the limit as the degree of the twists tends to infinity.
Keating, J. P., Florea, A., Bui, Hung; id_orcid, Roditty-Gershon, E.   +3 more
core   +1 more source

An Overlooked Transport Mechanism in Organic Mixed Conductors

Advanced Functional Materials, EarlyView.
Electrical transport in organic mixed ionic‐electronic conductors is commonly described by ionic and electronic conduction. Here, eumelanin reveals that polarization‐assisted displacement currents constitute an additional transport component that coexists with conductive transport.
Natan L. Nozella, Victor Lopez‐Richard, Luiz A. Meneghetti Jr., Gabriel L. Nogueira, João V. Paulin, Carlos F. O. Graeff   +5 more
wiley   +1 more source

Modeling Early Metastatic Progression in Breast Cancer Using a Barrier‐Free, Perfusable Spheroid‐on‐a‐Chip Platform

Advanced Healthcare Materials, EarlyView.
Open‐port, barrier‐free microfluidic device for modeling early metastatic progression. A centrally positioned tumor spheroid releases invasive cells that migrate through the surrounding matrix and intravasate into endothelialized lateral channels.
Vira Sharko, Claudia Olaizola‐Rodrigo, Clara Bayona, Teodora Ranđelović, Rosa Monge, Estela Solanas, Sara Oliván, Ignacio Ochoa   +7 more
wiley   +1 more source

Upper bound for the height of S-integral points on elliptic curves [PDF]

, 2013
We establish new upper bounds for the height of the S-integral points of an elliptic curve. This bound is explicitly given in terms of the set $S$ of places of the number field K involved,but also in terms of the degree of K, as well as the rank, the ...
Surroca, Andrea, Bosser, Vincent, Andrea Surroca, Vincent Bosser   +3 more
core   +1 more source

Bioprinted Stiffness‑Tunable Pancreatic Microniches to Decode Early Tumor Initiation Mechanisms

Advanced Healthcare Materials, EarlyView.
Stiffness‐tunable GelMA microniches generated by microvalve bioprinting preserve wild‐type acinar identity while revealing a nonlinear, Kras‐dependent response to matrix mechanics. Intermediate stiffness promotes acinar‐to‐ductal metaplasia and proliferation, defining a permissive mechanical window.
Aurelien Mazet, Charles Handschin, Theo Desigaux, Nathalie Dusserre, Marie‐Laure Stachowicz, Shane Fennell, Malou Lea, Silvia Arcucci, Benoît Thibault, Jean‐Christophe Fricain, Julie Guillermet‐Guibert, Hugo Oliveira   +11 more
wiley   +1 more source

An analysis for chosen plaintext attack in elliptic curve cryptosystem based on second order lucas sequence [PDF]

, 2019
Elliptic Curve Cryptography is a cryptography based on the algebraic structure of elliptic curves over finite fields. The security of Elliptic Curve Cryptography depends on discrete logarithms that is much more difficult to challenge at equivalent key ...
Naning @ Zin, Fatin Hana, Yiu, Pang Hung, Sarbini, Izzatul Nabila, Koo, Lee Feng, Wong, Tze Jin   +4 more
core   +2 more sources

Iwasawa L-Functions of Elliptic Curves with Additive Reduction

Journal of Number Theory, 1995
Let \(A\) be an elliptic curve defined over a number field \(K\) and let \(p\) be an odd prime. Several authors have studied Iwasawa \(p\)-adic \(L\)-functions for \(A\) in the case where \(A\) has semistable reduction at the primes above \(p\), but little has been done in the case of additive reduction.
openaire   +1 more source