• Corpus ID: 10901499

RATIONAL QUADRATIC FORMS AND THE LOCAL-GLOBAL PRINCIPLE

@inproceedings{Clark2007RATIONALQF,
  title={RATIONAL QUADRATIC FORMS AND THE LOCAL-GLOBAL PRINCIPLE},
  author={Pete L. Clark},
  year={2007}
}
As for most Diophantine equations, quadratic forms were first studied over the integers, meaning that the coefficients aij are integers and only integer values of x1, . . . , xn are allowed to be plugged in. At the end of the 19th century it was realized that by allowing the variables x1, . . . , xn to take rational values, one gets a much more satisfactory theory. (In fact one can study quadratic forms with coefficients and values in any field F . This point of view was developed by Witt in…