JOURNAL ARTICLE

Values of certain Dirichlet series and higher derivative formulas of trigonometric functions.

  • Published In: International Journal of Number Theory, 2024, v. 20, n. 4. P. 995 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Lanphier, Dominic; Lin, Allen 3 of 3

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]

Additional Information

  • Source:International Journal of Number Theory. 2024/05, Vol. 20, Issue 4, p995
  • Document Type:Article
  • Subject Area:Mathematics
  • Publication Date:2024
  • ISSN:1793-0421
  • DOI:10.1142/S1793042124500519
  • Accession Number:177204643
  • Copyright Statement:Copyright of International Journal of Number Theory is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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