On an Evaluation Method for Zeta Constants Based on a Number Theoretic Approach

IF 0.5 4区计算机科学 Q4 COMPUTER SCIENCE, THEORY & METHODS

Problems of Information Transmission Pub Date : 2021-10-07 DOI:10.1134/s0032946021030054

Karatsuba, E. A.

引用次数: 0

Abstract

New formulas for zeta constants are obtained based on a number theoretic approach that is used in proving irrationality of some classical constants. Using these formulas, one can approximate zeta constants and their combinations by rational fractions and construct a new efficient evaluation method for them.

查看原文本刊更多论文

基于数论方法的Zeta常数求值方法

用数论方法证明了一些经典常数的无理性，得到了zeta常数的新公式。利用这些公式，可以用有理分式近似zeta常数及其组合，并构造了一种新的有效的zeta常数求值方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Problems of Information Transmission 工程技术-计算机：理论方法

CiteScore

2.00

自引率

25.00%

发文量

审稿时长

>12 weeks

期刊介绍： Problems of Information Transmission is of interest to researcher in all fields concerned with the research and development of communication systems. This quarterly journal features coverage of statistical information theory; coding theory and techniques; noisy channels; error detection and correction; signal detection, extraction, and analysis; analysis of communication networks; optimal processing and routing; the theory of random processes; and bionics.