Posted in Problem of the Bi-Week on January 30, 2008 | Leave a Comment »
Here goes the problem:
03. PEN O53 (Schur Theorem) Suppose the set is partitioned into disjoint subsets . Show that if then at least one class contains three elements with the property that .
Next week, you will be presented two different solutions and several related results.
* Any comments are welcome! You [...]
Posted in Problem of the Bi-Week on January 28, 2008 | Leave a Comment »
We are glad to announce you that starting this week, Andrei Frimu is co-author of Problem of the bi-week.
Posted in PEN Solutions Archive on January 22, 2008 | 1 Comment »
02. PEN H15 (Balkan Mathematical Olympiad 1998) Prove that there are no integers and satisfying .
Here is the official solution file: PEN02S
You can also disscuss the problems here!
Acknowledgement. We would like to express our gratitude to Andrei Frimu who proofreaded the manuscript.
