31. Another angle comes from Arakelov geometry, where Diophantine equations are studied using tools from complex geometry. 32. In 1936, he published a paper on the method of dating and analyzing texts using diophantine equations . 33. See Diophantine equation for integer roots. 34. These latter could be read quite directly as results on Diophantine equations , after the work of Axel Thue. 35. The polynomial has both unknowns and parameters because it refers to the general form of the diophantine equation . 36. Hilbert's tenth problem asks for an algorithm to determine whether a Diophantine equation has any solutions in integers. 37. :Diophantine equation # System of linear Diophantine equations may possibly be helpful in getting you started toward the answer. 38. :Diophantine equation # System of linear Diophantine equations may possibly be helpful in getting you started toward the answer. 39. Baker received the Fields medal in 1970 for both this work and his applications of it to Diophantine equations . 40. Fermat was interested only in integer solutions to his Diophantine equations , and he looked for all possible general solutions.
