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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