Theory of Generalized Bernoulli-Hurwitz Numbers for the Algebraic Functions of Cyclotomic Type
نویسنده
چکیده
This is an integral of a differential of first kind on C which does not vanish at ∞. The integral converges everywhere. If g = 0 the inverse funcion of (1.2) is −1/ sin(u). As is well-known, if g = 1 the inverse function of (1.2) is just the Weierstrass function ℘(u) with ℘(u) = 4℘(u) − 4 (or ℘(u) = 4℘(u) − 4). The Bernoulli numbers {B2n} are the coefficients of the Laurent expansion of −1/ sin(u) at u = 0:
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تاریخ انتشار 2003