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Mathematics Seminar

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

Title: 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.




Seminar Room, Mathematics Department, Chase Building, Dalhousie University