On a divisor problem related to the Epstein Zeta-Function, III

Guangshi Lü (1) , Jie Wu (2) , Wenguang Zhai (3)

1 Shandong University
2 IECN - Institut Élie Cartan de Nancy
3 CUMT - China University of Mining and Technology

In this paper we study the mean square of the error term ∆ * k (Q, x) in a divisor problem related to the Epstein zeta-function. An asymptotic formula has been obtained when k = 2.

Domaines: Théorie des nombres [math.NT]

Guangshi Lü, Jie Wu, Wenguang Zhai. On a divisor problem related to the Epstein Zeta-Function, III. Quarterly Journal of Mathematics, 2012, 63 (4), pp.953-963. ⟨hal-01278402⟩