Abstract: In this talk, we discuss the transcendence of special values of some Hurwitzzeta type series. Moreover, we find a linear independence criteria of these series undersome mild conditions. We also show that, for any a, b ∈ (0, 1) ∩ Q with a + b = 1, atleastone of the ζ(2k, a) or ζ(2k, b) must be transcendental.
SMS seminar room
Dr. Nabin Kumar Meher
Transcendence of Hurwitz zeta type series and related questions