On Certain Generalizations of Rational and Irrational Equivariant Functions

Isra Al-Shbeil, Afis Saliu, Abbas Kareem Wanas and Adriana Cătaş
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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

Mathematics, 2022, vol. 10, issue 13, 1-18

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.

Keywords: rational equivariant functions; elliptic zeta functions; meromorphic function; Weierstrass ?-function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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