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

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

Recently by the theory of modular forms and the Riemann zeta-function, Lü improved the estimates for the error term in a divisor problem related to the Epstein zeta-function established by Sankaranarayanan. In this short note, we are able to further sharpen some results of Sankaranarayanan and of Lü, and to establish corresponding Ω-estimates.

Domaines: Théorie des nombres [math.NT]

Guangshi Lü, Jie Wu, Wenguang Zhai. On a divisor problem related to the Epstein Zeta-Function, II. Journal of Number Theory, 2011, 132, pp.1734-1742. ⟨hal-01277992⟩