Results 11 to 20 of about 35 (34)

Average Analytic Ranks of Elliptic Curves over Number Fields

Forum of Mathematics, Sigma
We give a conditional bound for the average analytic rank of elliptic curves over an arbitrary number field. In particular, under the assumptions that all elliptic curves over a number field K are modular and have L-functions which satisfy the ...
Tristan Phillips
doaj   +1 more source

An Elementary Proof of the Mazur-Tate-Teitelbaum Conjecture for Elliptic Curves

We give an elementary proof of the Mazur-Tate-Teitelbaum conjecture for elliptic curves by using Kato’s element.Dedicated to Professor John Coates on the occasion of his sixtieth birthdayExtra Vol., John H.
小林, 真一, コバヤシ, シンイチ, Kobayashi, Shinichi   +2 more
core  

Genetic snapshots of the Rhizobium species NGR234 genome. [PDF]

Genome Biol, 2000
Viprey V, Rosenthal A, Broughton WJ, Perret X.   +3 more
europepmc   +1 more source

Variation of the reduction type of elliptic curves under small base change with wild ramification

Open Mathematics, 2003
Kida Masanari
doaj   +1 more source

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On elements of large order on elliptic curves and multiplicative dependent images of rational functions over finite fields

Illinois Journal of Mathematics, 2021
Jorge Mello, Igor Shparlinski, Bryce Kerr   +2 more
exaly  

Rubin's conjecture on local units in the anticyclotomic tower at inert primes

Annals of Mathematics, 2021
Ashay Burungale
exaly  

p-adic K-theory of elliptic curves

Duke Mathematical Journal, 1987
Christophe Soule
exaly  

Congruences with intervals and subgroups modulo a prime

Michigan Mathematical Journal, 2015
Igor Shparlinski, Marc Münsch
exaly  

Milnor $K$-groups attached to elliptic curves over a $p$-adic field

Functiones Et Approximatio, Commentarii Mathematici, 2016
Toshiro Hiranouchi
exaly  

On the p-adic realization of elliptic polylogarithms for CM-elliptic curves

Duke Mathematical Journal, 2002
Kenichi Bannai
exaly