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 Comparison of $p$-adic theta functions Bull. Korean Math. Soc. 2001 Vol. 38, No. 3, 427-434 Sung Sik Woo Ewha Women's University Abstract : In this paper we investigate how $p$-adic $\theta$-functions of N\'eron and Tate are related. As a result, we show that the $p$-adic theta function defined by N\'eron and that defined by Tate are differ by an analytic function whose values are units. Keywords : Neron's $p$-adic $\theta$-function, Tate's $p$-adic theta function MSC numbers : 14K15 Downloads: Full-text PDF