Results 21 to 30 of about 130 (32)

Elliptic Reciprocity [PDF]

, 2016
The paper introduces the notions of an elliptic pair, an elliptic cycle and an elliptic list over a square free positive integer d. These concepts are related to the notions of amicable pairs of primes and aliquot cycles that were introduced by Silverman
Babinkostova, Liljana, Bombardier, Kevin M., Cole, Matthew M., Morrell, Thomas A., Scott, Cory B.   +4 more
core  

Elliptic nets and elliptic curves

, 2010
An elliptic divisibility sequence is an integer recurrence sequence associated to an elliptic curve over the rationals together with a rational point on that curve.
Ayad, Chandrasekharan, Everest, Frey, Katherine Stange, van der Poorten   +5 more
core   +1 more source

On the Birch-Swinnerton-Dyer quotients modulo squares

, 2006
Let A be an abelian variety over a number field K. An identity between the L-functions L(A/K_i,s) for extensions K_i of K induces a conjectural relation between the Birch-Swinnerton-Dyer quotients.
Birch, Coates, Cornut, Diem, Dokchitser, Dokchitser, Hachimori, Kolyvagin, Kramer, Milne, Nekovář, Nekovář, Rohrlich, Serre, Silverman, Tate, Tim Dokchitser, Vladimir Dokchitser   +17 more
core   +4 more sources

Congruences of models of elliptic curves

, 2013
Let O_K be a discrete valuation ring with field of fractions K and perfect residue field. Let E be an elliptic curve over K, let L/K be a finite Galois extension and let O_L be the integral closure of O_K in L.
Liu, Qing, Lu, Huajun
core   +3 more sources

Integral points on elliptic curves and explicit valuations of division polynomials

, 2014
Assuming Lang's conjectured lower bound on the heights of non-torsion points on an elliptic curve, we show that there exists an absolute constant C such that for any elliptic curve E/Q and non-torsion point P in E(Q), there is at most one integral ...
David, Ekedahl, Everest, Everest, Everest, Hall, Jr.,, Ingram, Katherine E. Stange, Lang, Schmidt, Silverman, Silverman, Silverman, Silverman, Sprindzuk, Stein, et. al.,   +15 more
core   +1 more source

On Kato's local epsilon-isomorphism Conjecture for rank one Iwasawa modules

, 2013
This paper contains a complete proof of Fukaya's and Kato's epsilon$-isomorphism conjecture in [23] for invertible \Lambda-modules (the case of V = V_0(r) where V_0 is unramified of dimension 1).
Berger, Bertrand, Bouganis, Breuning, Burns, Burns, Burns, Flach, Fukaya, Knudsen, Nekovář, Otmar Venjakob, Perrin-Riou, Tate, Yasuda   +14 more
core   +1 more source

Tate curves and UHF-algebras

, 2015
It is proved that (a stabilization of) the norm-closure of a self- adjoint representation of the twisted homogeneous coordinate ring of a Tate curve contains a copy of the UHF-algebra.Comment: to appear Indagationes ...
Blackadar, Carey, Cuntz, Effros, Glimm, Gouvêa, Igor V. Nikolaev, Murphy, Rørdam, Sklyanin, Smith, Stafford, Tate   +12 more
core   +1 more source

Local invariants of isogenous elliptic curves

, 2013
We investigate how various invariants of elliptic curves, such as the discriminant, Kodaira type, Tamagawa number and real and complex periods, change under an isogeny of prime degree p.
Dokchitser, Tim, Dokchitser, Vladimir
core  

On the vanishing of cohomologies of $p$-adic Galois representations associated with elliptic curves

, 2014
Let $K$ be a $p$-adic field and $E$ an elliptic curve over $K$ with potential good reduction. For some large Galois extensions $L$ of $K$ containing all $p$-power roots of unity, we show the vanishing of certain Galois cohomology groups of $L$ with ...
Dimabayao, Jerome T.
core  

Acoustic radiation from lined, unflanged ducts: Duct termination impedance program [PDF]

For abstract, see N75 ...
Beckemeyer, R. J., Sawdy, D. T.
core   +1 more source