Identities involving trigonometric, zeta and partition functions

Authors

  • Mateus Alegri Federal University of Sergipe
  • Robson Da Silva Universidade Federal de Sao Paulo
  • Wagner Ferreira Santos Universidade Federal de Sergipe - UFS

DOI:

https://doi.org/10.55016/ojs/cdm.v20i2.77546

Abstract

Using well-known trigonometric functions, we establish identities involving the multiple zeta function and the multiple lambda function. Furthermore, we derive new identities by applying classical trigonometric relations. Some of these results are expressed in terms of colored partitions, highlighting connections between partition theory and special functions.

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Published

2025-10-28

Issue

Section

Articles