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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1985 Volume 127(169), Number 1(5), Pages 131–141 (Mi sm1962)

This article is cited in 1 paper

Transcendence of analytic parameters of rational elliptic modules

N. V. Dubovitskaya


Abstract: The author considers rational elliptic modules over an algebraically closed complete extension $K\supset\mathbf F_q(T)$ and proves that $e(1)$ is transcendental over $\mathbf F_q(T)$ for modules of rank $m<q$. Transcendence of the periods of the lattices corresponding to rational modules of the form $\varphi(t)=T\mathscr F^0+a\mathscr F^m$ is also proved.
Bibliography: 3 titles

UDC: 511.66

MSC: Primary 11J89; Secondary 11J81, 11Q25, 11G25

Received: 26.03.1984


 English version:
Mathematics of the USSR-Sbornik, 1986, 55:1, 133–143

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