id: 02370171
dt: j
an: 2007a.00295
au: Kehle, Paul E.
ti: Partitions. Numbers as more than the sums of their parts.
so: Consortium, No. 89, 26-31 (2005).
py: 2005
pu: COMAP (Consortium for Mathematics and Its Applications), Bedford, MA
la: EN
cc: F65
ut: number theory; number partitions; number sequences; number patterns
ci:
li:
ab: Authorâ€™s abstract: Despite the advice of his advisor that he choose a
more modest problem to solve for his dissertation, a young graduate
student at the University of Wisconsin has succeeded in explaining a
particularly perplexing and deep pattern in a numerical sequence. The
sequence represents the number of ways in which positive integers can
be expressed as the sums of other positive integers. Not counting the
years of study that prepared Karl Mahlburg for his chosen problem,
exploring, conjecturing, and proving theorems for the problem took
about one and a half years of intense concentration. He finally
succeeded in the spring of 2005, and his work is now attracting a lot
of attention in the mathematical community. His methods and results are
likely to have an impact on other problems in both pure and applied
areas of mathematics.
rv: