Dept. Math, Hokkaido Univ. EPrints Server

Elliptic Bernoulli Functions And Their Identities

Preprint Series # 743
Machide, Tomoya Elliptic Bernoulli Functions And Their Identities. (2005);

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We introduce an elliptic analogue of the Bernoulli functions, which we call elliptic Bernoulli functions. They are defined by using the modified generating function of the elliptic polylogarithms. By degeneration of the elliptic Bernoulli functions, we obtain standard properties and new identities for the Bernoulli functions.

Item Type:Preprint
Subjects:11-xx NUMBER THEORY
ID Code:1058