IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i15p1744-d600538.html
   My bibliography  Save this article

Multiple Dedekind Type Sums and Their Related Zeta Functions

Author

Listed:
  • Abdelmejid Bayad

    (Laboratoire de Mathématiques et Modélisation ďÉvry (LAMME), Université Paris-Saclay, CNRS (UMR 8071), Bâtiment I.B.G.B.I., 23 Boulevard de France, CEDEX, 91037 Evry, France)

  • Yilmaz Simsek

    (Department of Mathematics, Faculty of Arts and Science, University of Akdeniz, Antalya 07058, Turkey)

Abstract

The main purpose of this paper is to use the multiple twisted Bernoulli polynomials and their interpolation functions to construct multiple twisted Dedekind type sums. We investigate some properties of these sums. By use of the properties of multiple twisted zeta functions and the Bernoulli functions involving the Bernoulli polynomials, we derive reciprocity laws of these sums. Further developments and observations on these new Dedekind type sums are given.

Suggested Citation

  • Abdelmejid Bayad & Yilmaz Simsek, 2021. "Multiple Dedekind Type Sums and Their Related Zeta Functions," Mathematics, MDPI, vol. 9(15), pages 1-19, July.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:15:p:1744-:d:600538
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/15/1744/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/15/1744/
    Download Restriction: no
    ---><---

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:9:y:2021:i:15:p:1744-:d:600538. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.