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Towers of function fields and iterated means

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1 Author(s)
Sole, P. ; CNRS, Univ. des Sci. et Tech. de Lille Flandres Artois, Villeneuve d''Ascq, France

Towers of function fields meeting the Drinfeld-Vladut bound with equality were constructed by Gorcal-Stichtenoth (1995, 1996). Modular uniformizations thereof were pointed out by Elkies (1996). We connect this fact to hypergeometric analogs of the arithmetic-geometric mean and related theta series identities discovered by Borweins and Garven

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Information Theory, IEEE Transactions on  (Volume:46 ,  Issue: 4 )