Results 51 to 60 of about 2,144,780 (355)
Torsion points and Galois representations on CM elliptic curves [PDF]
Pacific Journal of Mathematics, 2016 We prove several results on torsion points and Galois representations for complex multiplication (CM) elliptic curves over a number field containing the CM field.
Abbey Bourdon, P. L. Clark
semanticscholar +1 more source
Optimal Locally Repairable Codes Via Elliptic Curves [PDF]
IEEE Transactions on Information Theory, 2017 Constructing locally repairable codes achieving Singleton-type bound (we call them optimal codes in this paper) is a challenging task and has attracted great attention in the last few years. Tamo and Barg first gave a breakthrough result in this topic by
Xudong Li, Liming Ma, C. Xing
semanticscholar +1 more source
Bounds on 2-torsion in class groups of number fields and integral points on elliptic curves [PDF]
Journal of The American Mathematical Society, 2017 We prove the first known nontrivial bounds on the sizes of the 2-torsion subgroups of the class groups of cubic and higher degree number fields K K (the trivial bound being O ϵ ,
M. Bhargava +5 more
semanticscholar +1 more source
Mathematical Proceedings of the Cambridge Philosophical SocietyAbstract In the early 2000s, Ramakrishna asked the question: for the elliptic curve \[E\;:\; y^2 = x^3 - x,\] what is the density of primes p for which the Fourier coefficient $a_p(E)$ is a cube modulo p?
Koymans, Peter, Uttenthal, Peter Vang
openaire +4 more sources
FEBS Letters, EarlyView.Angiotensin II (AngII), a neuropeptide, interacts with amyloid‐β (Aβ), a key player in Alzheimer's disease. This study reveals that AngII reduces Aβ aggregation and membrane disruption in vitro. Biophysical assays and molecular modeling suggest AngII binds disordered Aβ forms, potentially modulating early amyloidogenic events and contributing to ...
Mohsen Habibnia +5 more
wiley +1 more source
A Feynman integral depending on two elliptic curves
Journal of High Energy Physics, 2022 We study a two-loop four-point function with one internal mass. This Feynman integral is one of the simplest Feynman integrals depending on two elliptic curves. We transform the associated differential equation into an ε-form. We study the entries of the
Hildegard Müller, Stefan Weinzierl
doaj +1 more source
Molecular Oncology, EarlyView.This study indicates that Merkel cell carcinoma (MCC) does not originate from Merkel cells, and identifies gene, protein & cellular expression of immune‐linked and neuroendocrine markers in primary and metastatic Merkel cell carcinoma (MCC) tumor samples, linked to Merkel cell polyomavirus (MCPyV) status, with enrichment of B‐cell and other immune cell
Richie Jeremian +10 more
wiley +1 more source
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Epilepsy is increasingly associated with immune dysregulation and inflammation. The T cell receptor (TCR), a key mediator of adaptive immunity, shows repertoire alterations in various immune‐mediated diseases. The unique TCR sequence serves as a molecular barcode for T cells, and clonal expansion accompanied by reduced overall TCR ...
Yong‐Won Shin +12 more
wiley +1 more source
Advanced Biology, EarlyView.The unrolling of the peltate leaves in Syngonium podophyllum is analyzed and quantified (left‐hand side to center). These measurements serve to verify a mathematical model for leaf unrolling based on the model used in Schmidt (2007). An additional formula for obtaining a layer mismatch from a prescribed radius is derived.
Michelle Modert +4 more
wiley +1 more source
Journal of Mathematical Cryptology, 2018 In 2004, Muzereau, Smart and Vercauteren [A. Muzereau, N. P. Smart and F. Vercauteren, The equivalence between the DHP and DLP for elliptic curves used in practical applications, LMS J. Comput. Math. 7 2004, 50–72] showed how to use a reduction algorithm
Kushwaha Prabhat
doaj +1 more source