Mathematics Homework Help

Please do a POWERPOINT presentation and follow the guidlines in the attached file.

Please see attached for requirements. The project is on Ken Ono. Please see the general instructions and address the questions below.

Ken Ono generalized an idea of the famous south Indian mathematician Ramanujan. Read about the story of Ramanujan (in fact, there is a movie called the Genius of Srinivasa Ramanujan with Ken Ono in it), and tell us the congruences Ramanujan noticed for the partition function; e.g., 5 always divides p(5k + 4) = # of partitions of 5k + 4.

Did Ramanujan actually prove these congruences?

Tell us about the other congruences, and those recently found by Ono, et al. There are some articles on this which describe (in plain terms) what the idea was for deriving these new generalizations (e.g., in Scientific American).

Tell us what a q-series is and some examples of 1 how they encode combinatorial information [this is one place where you could use Mathematica!]