Grimm, David2015-09-282015-09-282015-09-28201510.4171/Cmh/356https://infoscience.epfl.ch/handle/20.500.14299/119175WOS:000355752300004We show that the transcendence degree of a real function field over an arbitrary real base field is a strict lower bound for its Pythagoras number and a weak lower bound for all its higher Pythagoras numbers.Pythagoras numberreal function fieldsvaluationstext::journal::journal article::research article