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Average Analytic Ranks of Elliptic Curves over Number Fields
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
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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 +2 more
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Genetic snapshots of the Rhizobium species NGR234 genome. [PDF]
Viprey V +3 more
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Variation of the reduction type of elliptic curves under small base change with wild ramification
Kida Masanari
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Rubin's conjecture on local units in the anticyclotomic tower at inert primes
Annals of Mathematics, 2021Ashay A Burungale
exaly
Congruences with intervals and subgroups modulo a prime
Michigan Mathematical Journal, 2015Marc Münsch, Igor E Shparlinski
exaly
Highly ramified pencils of elliptic curves in characteristic 2
Duke Mathematical Journal, 1997Ernst-Ulrich Gekeler
exaly

