Rapidly Convergent Series from Positive Term Series

On Absolutely Convergent Dirichlet Series

satisfying zZ\ \^A < °°, if and only if f is) is bounded away from zero in the half-plane 0-3:0. This discovery amounts to a determination of the spectrum of the Banach-algebra element associated with fis), and it thus makes available for the theory of ordinary Dirichlet series the well-known theorem of Gelfand on analytic functions of Banach-algebra elements (see §24D of [7]) and its generaliz...

On Cantor's Series with Convergent

Irrationality of quick convergent series

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On Faster Convergent Infinite Series

Recommended by Laszlo Toth Suffcient conditions, necessary conditions for faster convergent infinite series, faster τ-convergent infinite series are studied. The faster convergence of infinite series of Kummer's type is proved. Copyright q 2008 Dušan Hoí y et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distributi...

Rapidly Convergent Series for the Weierstrass Zeta-function and the Kronecker Function

We present expressions for the Weierstrass zeta-function and related elliptic functions by rapidly convergent series. These series arise as triple products in the A∞-category of an elliptic curve. 1. Formulas In this section we derive our formulas by classical means. In the next section we’ll explain how one can guess these formulas from the computation of certain triple products on elliptic cu...