Remarks on the Coefficients of Inverse Cyclotomic Polynomials

Abstract

Cyclotomic polynomials play an imporant role in discrete mathematics. Recently, inverse cyclotomic polynomials have been defined and investigated. In this paper, we present some recent advances related to the coefficients of inverse cyclotomic polynomials, including a practical recursive formula for their calculation and numerical simulations.

Keywords

• cyclotomic polynomials
• inverse cyclotomic polynomials
• coefficients
• recurrence formula
• integral formula
• Möbius function