# Number Theory Seminar

Presented by : Christophe Vignat (Universit\’e d'Orsay and Tulane University)

Topic : Finite generating functions for the sum of digits sequence

Abstract: I will show some results about finite generating functions

associated with the sequence {s_b(n)}, where s_b(n) is the sum of the

digits of the representation in base $b$ of the integer $n$. This

sequence was extensively studied by J.-P. Allouche and J. Shallit - see

for example their book "Automatic Sequences, Theory, Applications,

Generalizations".

Our generalizations include some Lambert series and infinite products

related to the sequence s_b(n). This is joint work with T. Wakhare.

#### Category

Department of Mathematics and Statistics

#### Time

Starts:

Ends:

#### Location

Seminar Room #227, Chase Building