On a question of Mordell

  title={On a question of Mordell},
  author={Andrew R. Booker and Andrew V. Sutherland},
  journal={Proceedings of the National Academy of Sciences of the United States of America},
  • A. Booker, Andrew V. Sutherland
  • Published 2 July 2020
  • Mathematics, Medicine
  • Proceedings of the National Academy of Sciences of the United States of America
Significance A Diophantine equation is a polynomial equation to which one seeks solutions in integers. There is a notable disparity between the difficulty of stating Diophantine equations and that of solving them. This feature was formalized in the 20th century by Matiyasevich’s negative answer to Hilbert’s tenth problem: It is impossible to tell whether some Diophantine equations have solutions or not. One need not look very far to find examples whose status is unknown. A striking example was… 
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