Bibliographic Details
| Title: |
Values of certain Dirichlet series and higher derivative formulas of trigonometric functions. |
| Authors: |
Lanphier, Dominic1 (AUTHOR) dominic.lanphier@wku.edu, Lin, Allen2 (AUTHOR) allenees@mit.edu |
| Superior Title: |
International Journal of Number Theory. May2024, Vol. 20 Issue 4, p995-1016. 22p. |
| Subject Terms: |
*DIRICHLET series, *INFINITE series (Mathematics), *ARITHMETIC series, *BERNOULLI numbers, *EULER'S numbers, *TRIGONOMETRIC functions |
| Abstract: |
We determine new values of certain Dirichlet series and related infinite series. These formulas extend results of several authors. To obtain these results we apply recent expansions of higher derivative formulas of trigonometric functions. We also investigate the transcendentality of values of these series and arithmetic relations of the values of certain related infinite series. [ABSTRACT FROM AUTHOR] |
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| Database: |
Academic Search Premier |
