Results 51 to 60 of about 2,536,804 (344)
Elliptic Combinatorics and Markov Processes [PDF]
, 2012 We present combinatorial and probabilistic interpretations of recent results in the theory of elliptic special functions (due to, among many others, Frenkel, Turaev, Spiridonov, and Zhedanov in the case of univariate functions, and Rains in the ...
Betea, Dan Dumitru
core +1 more source
A heuristic for boundedness of ranks of elliptic curves [PDF]
Journal of the European Mathematical Society (Print), 2016 We present a heuristic that suggests that ranks of elliptic curves over the rationals are bounded. In fact, it suggests that there are only finitely many elliptic curves of rank greater than 21.
Jennifer Park +3 more
semanticscholar +1 more source
An ECDLP-Based Verifiable Multi-Secret Sharing Scheme [PDF]
Mathematics Interdisciplinary Research, 2020 Secret sharing is an important issue in cryptography which has many applications. In a secret sharing scheme, a secret is shared by a dealer among several participants in such a way that any authorized subset of participants can recover the secret ...
Khadijeh Eslami, Mojtaba Bahramian
doaj +1 more source
Some Families of Elliptic Curves
, 2023 Elliptic curves, intricate mathematical structures, form a nexus between number theory, alge- braic geometry, and cryptography. This paper offers a thorough exploration of these curves, delving into their foundational properties, historical origins, and ...
Shah, Sudev
core
Weyl groups and elliptic solutions of the WDVV equations [PDF]
, 2010 A functional ansatz is developed which gives certain elliptic solutions of the Witten-Dijkgraaf-Verlinde-Verlinde (or WDVV) equations. This ansatz is based on the elliptic trilogarithm function introduced by Beilinson and Levin. For this to be a solution
Ian A. B. Strachan +2 more
core +1 more source
COHERENT SYSTEMS ON ELLIPTIC CURVES [PDF]
International Journal of Mathematics, 2005 In this paper we consider coherent systems (E,V) on an elliptic curve which are α-stable with respect to some value of a parameter α. We show that the corresponding moduli spaces, if non-empty, are smooth and irreducible of the expected dimension. Moreover we give precise conditions for non-emptiness of the moduli spaces.
Lange, Herbert, Newstead, P. E.
openaire +3 more sources
Molecular characterization of covRS mutations in M1UK Streptococcus pyogenes
FEBS Open Bio, EarlyView.Group A Streptococcus (GAS) acquires covRS mutations driving a hypervirulent bacterial state, frequently associated with invasive disease‐like necrotizing fasciitis. We demonstrate that the newly emerged M1UK GAS lineage can also acquire these mutations.
Jarrad Pritchard +12 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
Counting points on elliptic curves
, 2023 Using relatively elementary terminology, we will discuss a natural question on the number of rational points on an elliptic curve.
Oliver, T., Wuthrich, C.
core +1 more source
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. Clark
semanticscholar +1 more source