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math.NT2025
Contour Integrations and Parity Results of Hurwitz-type Cyclotomic Euler Sums
Hongyuan Rui
In this paper, we investigate the parity of three class of Hurwitz-type cyclotomic Euler sums using the methods of contour integration and residue computation, and derive explicit…
math.NT2025
Contour Integrations and Parity Results of Cyclotomic Euler Sums and Multiple Polylogarithm Function
Hongyuan Rui, Ce Xu
In this paper, we define extended trigonometric functions via series and employ the method of contour integration to investigate the parity of certain cyclotomic Euler sums and mul…