分野別セミナー

In this talk, we give bounds for the Tornheim double zeta function T ( s 1 , s 2 , s 3 ) when | t 1 | , | t 2 | , | t 3 | ≥ 1 , | t 1 + t 3 | , | t 2 + t 3 | ≥ 1 , | t 1 + t 2 + t 3 | ≥ 1 , σ 1 , σ 2 , σ 3 > − K and σ 1 + σ 2 , σ 2 + σ 3 , σ 3 + σ 1 > 1 − K , where K is a positive integer, by using bounds for the (bilateral) Hurwitz and periodic zeta (star) functions.