## The Annals of Mathematical Statistics

- Ann. Math. Statist.
- Volume 42, Number 6 (1971), 2064-2073.

### On the Continuity Properties of $L$ Functions

#### Abstract

A necessary and sufficient condition is obtained for an $L$ function to have a continuous derivative of the $k$th order. Other results concerning the continuity properties of infinitely divisible distribution functions are also obtained.

#### Article information

**Source**

Ann. Math. Statist., Volume 42, Number 6 (1971), 2064-2073.

**Dates**

First available in Project Euclid: 27 April 2007

**Permanent link to this document**

https://projecteuclid.org/euclid.aoms/1177693075

**Digital Object Identifier**

doi:10.1214/aoms/1177693075

**Mathematical Reviews number (MathSciNet)**

MR305456

**Zentralblatt MATH identifier**

0227.60014

**JSTOR**

links.jstor.org

#### Citation

Wolfe, Stephen James. On the Continuity Properties of $L$ Functions. Ann. Math. Statist. 42 (1971), no. 6, 2064--2073. doi:10.1214/aoms/1177693075. https://projecteuclid.org/euclid.aoms/1177693075