Results 21 to 30 of about 2,736 (131)

Rankin–Selberg L-functions and the reduction of CM elliptic curves [PDF]

Research in the Mathematical Sciences, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Sheng-Chi, Masri, Riad, Young, Matthew P.   +2 more
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The p-Adic L-Functions of Modular Elliptic Curves [PDF]

, 2001
The arithmetic theory of elliptic curves enters the new century with some of its major secrets intact. Most notably, the Birch and Swinnerton-Dyer conjecture, which relates the arithmetic of an elliptic curve to the analytic behaviour of its associated L-series, is still unproved in spite of important advances in the last decades, some of which are ...
M. Bertolini, H. Darmon
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Independence of the Zeros of Elliptic Curve L-Functions over Function Fields [PDF]

International Mathematics Research Notices, 2016
The Linear Independence hypothesis (LI), which states roughly that the imaginary parts of the critical zeros of Dirichlet L-functions are linearly independent over the rationals, is known to have interesting consequences in the study of prime number races, as was pointed out by Rubinstein and Sarnak.
Cha, Byungchul, Fiorilli, Daniel, Jouve, Florent   +2 more
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The distribution of central values of elliptic curve L-functions

Journal of Number Theory, 2015
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Hinkel, Dustin, Young, Matthew P.
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From Fibonacci Anyons to B-DNA and Microtubules via Elliptic Curves

Quantum Reports
By imposing finite order constraints on Fibonacci anyon braid relations, we construct the finite quotient G=Z5⋊2I, where 2I is the binary icosahedral group.
Michel Planat
doaj   +1 more source

An elliptic curve test of the L-Functions Ratios Conjecture

Journal of Number Theory, 2011
35 pages, version 1.2.
Huynh, Duc Khiem, Miller, Steven J., Morrison, Ralph   +2 more
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L-functions of elliptic curves modulo integers

Journal of Number Theory
29 pages [previously 10 pages]. Expanded version of Chapter 3 of the PhD thesis of the author.
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Iwasawa L-Functions of Elliptic Curves with Additive Reduction

Journal of Number Theory, 1995
Let \(A\) be an elliptic curve defined over a number field \(K\) and let \(p\) be an odd prime. Several authors have studied Iwasawa \(p\)-adic \(L\)-functions for \(A\) in the case where \(A\) has semistable reduction at the primes above \(p\), but little has been done in the case of additive reduction.
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Non-vanishing of Artin-twisted L-functions of Elliptic Curves [PDF]

, 2012
11 ...
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Squares in a certain sequence related to L -functions of elliptic curves

Finite Fields and Their Applications, 2013
Abstract Let L ( s , E ) = ∑ n ⩾ 1 a n n − s be the L -series corresponding to an elliptic curve E defined over Q and satisfying certain technical conditions. We prove that the set of positive integers n such that n 2 − a n 2 + 1 = □ has asymptotic density 0.
Luca, Florian, Yalciner, Aynur
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