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On Certain Generalizations of Rational and Irrational Equivariant Functions

Author

Listed:
  • Isra Al-Shbeil

    (Department of Mathematics, Faculty of Science, The University of Jordan, Amman 11942, Jordan)

  • Afis Saliu

    (Department of Mathematics, University of the Gambia, Birkama Campus, MDI Road, Kanifing P.O. Box 3530, The Gambia)

  • Abbas Kareem Wanas

    (Department of Mathematics, College of Science, University of Al-Qadisiyah, Al Diwaniyah 58801, Iraq)

  • Adriana Cătaş

    (Department of Mathematics and Computer Science, University of Oradea, 1 University Street, 410087 Oradea, Romania)

Abstract

In this paper, we address the case of a particular class of function referred to as the rational equivariant functions. We investigate which elliptic zeta functions arising from integrals of power of ℘ , where ℘ is the Weierstrass ℘ -function attached to a rank two lattice of C , yield rational equivariant functions. Our concern in this survey is to provide certain examples of rational equivariant functions. In this sense, we establish a criterion in order to determine the rationality of equivariant functions derived from ratios of modular functions of low weight. Modular forms play an important role in number theory and many areas of mathematics and physics.

Suggested Citation

  • Isra Al-Shbeil & Afis Saliu & Abbas Kareem Wanas & Adriana Cătaş, 2022. "On Certain Generalizations of Rational and Irrational Equivariant Functions," Mathematics, MDPI, vol. 10(13), pages 1-18, June.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:13:p:2247-:d:849039
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