2013/02/18 by Yasushi Komori, Kohji Matsumoto, Hirofumi Tsumura
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Arithmetic zeta function #Function (biology) #Integer (computer science) #Lie algebra #Mathematics #Prime zeta function #Pure mathematics #Riemann zeta function #Simple (philosophy) #Type (biology) #math.NT #msc:11M41 #msc:17B20 #msc:40B05
paper · pdf · doi:10.1017/s0017089514000160
published as Glasgow Math. J. 57 (2015), 107-130
arxiv created 2013/02/18 · openalex publication_date 2014/08/22 · arxiv updated 2016/04/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Abstract We study the values of the zeta-function of the root system of type G 2 at positive integer points. In our previous work we considered the case when all integers are even, but in the present paper we prove several theorems which include the situation when some of the integers are odd. The underlying reason why we may treat such cases, including odd integers, is also discussed.