Elementary Continued Fractions for Linear Combinations of Zeta and L Values
Henri Cohen
TL;DR
This paper introduces elementary methods to generate infinitely many continued fractions for specific linear combinations of zeta and L values, expanding the tools available for studying these special constants.
Contribution
It provides a new elementary approach to construct continued fractions for Z-linear combinations of zeta and L values, which was not previously available.
Findings
Infinite continued fractions for certain Z-linear combinations of zeta and L values.
Elementary methods used for deriving these continued fractions.
Abstract
We show how to obtain infinitely many continued fractions for certain Z-linear combinations of zeta and L values. The methods are completely elementary.
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Taxonomy
TopicsAdvanced Mathematical Identities · Analytic Number Theory Research · History and Theory of Mathematics