2023/10/01 by Reynolds, Robert
#33-01 #33-03 #33-04 #FOS: Mathematics #Number Theory (math.NT) #Primary 30E20
paper · doi:10.48550/arxiv.2310.04543
An extension of two finite trigonometric series is studied to derive closed form formulae involving the Hurwitz-Lerch zeta function. The trigonometric series involves angles with a geometric series involving the powers of 3. These closed formulae are used to derive composite finite series involving special functions, trigonometric functions and fundamental constants. A short table summarizing some interesting results is produced.