On translation invariant quadratic forms
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Thu, 30/05 16:00 |
Eugen Keil (Bristol) |
Number Theory Seminar  |
L3 |
| Solutions to translation invariant linear forms in dense sets (for example: k-term arithmetic progressions), have been studied extensively in additive combinatorics and number theory. Finding solutions to translation invariant quadratic forms is a natural generalization and at the same time a simple instance of the hard general problem of solving diophantine equations in unstructured sets. In this talk I will explain how to modify the classical circle method approach to obtain quantitative results for quadratic forms with at least 17 variables. | |||