View Proposal #280
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| ID | 280 |
|---|---|
| First Name | Theron |
| Last Name | Hitchman |
| Institution | University of Northern Iowa |
| Speaker Category | faculty |
| Title of Talk | Patterns and Structure in M-ary Partitions |
| Abstract | For a fixed natural number m, an m-ary partition of another number n is a way to write n as a sum of powers of m. For example 7= 3^0 + 3^1+3^1 is a 3-ary partition of 7. For each m, we can describe a sequence b_m(n) which counts the number of m-ary paritions of n, and this sequence has some some beautiful number theoretic properties. In joint work with James Sellers (Penn State) and Mac Roepke (UNI student), we describe and explain rich structure inside the m-ary partition sequences with a surprisingly straight-forward computation, and hint at other questions to come. |
| Subject area(s) | combinatorics, number theory, undergraduate research |
| Suitable for undergraduates? | Yes |
| Day Preference | |
| Computer Needed? | N |
| Bringing a laptop? | Y |
| Overhead Needed? | N |
| Software requests | |
| Special Needs | |
| Date Submitted | 10/5/2010 |
| Year | 2010 |