Functions and Analysis

2306 Submissions

[2] viXra:2306.0098 [pdf] submitted on 2023-06-16 14:25:18

The Series Limit of Sum_k Cos(a Log K)/[k Log k]

Authors: Richard J. Mathar
Comments: 7 Pages.

The slowly converging series sum_{k>=2} cos(a log k)/[k log k] is evaluated numerically for a=1/2, 1, 3/2, ..., 4. After some initial terms, the infinite tail of the sum is replaced by the integral of the associated interpolating function, an Exponential Integral, and the "second form" of the Euler-Maclaurin corrections is derived from the analytic equations for higher order derivatives.
Category: Functions and Analysis

[1] viXra:2306.0018 [pdf] submitted on 2023-06-03 01:17:39

Lineal Systems Identification

Authors: Enrique Domínguez Pinos
Comments: 6 Pages. In Spanish

Review of current methods and new method proposal.
Category: Functions and Analysis