Geodesic
On Complex Explicit Formulae Connected with the Möbius Function of an Elliptic Curve
Canadian mathematical bulletin, Tome 57 (2014) no. 2, pp. 381-389

Voir la notice de l'article provenant de la source Cambridge University Press

We study analytic properties function $m\left( z,\,E \right)$ , which is defined on the upper half-plane as an integral from the shifted $L$ -function of an elliptic curve. We show that $m\left( z,\,E \right)$ analytically continues to a meromorphic function on the whole complex plane and satisfies certain functional equation. Moreover, we give explicit formula for $m\left( z,\,E \right)$ in the strip $\left| \Im z \right|\,<\,2\pi$ .
DOI : 10.4153/CMB-2013-021-3
Mots-clés : 11M36, 11G40, L-function, Möbius function, explicit formulae, elliptic curve 
Łydka, Adrian. On Complex Explicit Formulae Connected with the Möbius Function of an Elliptic Curve. Canadian mathematical bulletin, Tome 57 (2014) no. 2, pp. 381-389. doi: 10.4153/CMB-2013-021-3
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