Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772484 | Journal of Number Theory | 2018 | 27 Pages |
Abstract
We develop a method which allows one to directly infer the closed-form representation of the truncated sum from the closed form of the series for a significant class of series involving central binomial coefficients. In particular, we collect various known such series whose closed-form representation involves polylogarithms Lid(x)=âk=1âxk/kd, and after supplementing them with some new ones we obtain closed-forms modulo p for the corresponding truncated sums, in terms of finite polylogarithms £d(x)=âk=1pâ1xk/kd.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Sandro Mattarei, Roberto Tauraso,