C-polynomials and lc-functions: towards a generalization of the hurwitz zeta function

HIGHLIGHTS

• What: The authors examine the properties of and and the underlying features that connect them. The authors explore the correspondence between these mathematical concepts from a distinctive and comprehensive standpoint. The main idea behind this paper manifests in the fundamental identity (2.24) pertaining to the C-polynomials, the proof of which is provided in the subsequent Proposition 2.7. Motivated by this observation, the authors propose that the theory of the Hurwitz zeta function, initially developed through the study of Bernoulli polynomials, can be generalized by examining the properties of the C-polynomials Cf,n (x . . .
  

   

  

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