A family of multiple integrals connected with relatives of the Dickman function

作者：Franze C S^*

来源：Journal of Number Theory, 2017, 179: 33-49.

DOI：10.1016/j.jnt.2017.03.008

• Dickman function
• Delay differential equation
• Multiple integrals
• Riemann zeta-function
• Dickman constants

In this paper we present an asymptotic expansion for a family of multiple integrals connected with relatives of the Dickman function. The coefficients of this expansion have a similar arithmetic structure as those appearing in Soundararajan's work on an analogous expansion for the Dickman function.

• 出版日期2017-10