31. Lang then worked on the geometric analogues of class field theory and diophantine geometry. 32. Equations in the book are called Diophantine equations. 33. They contain lists of Pythagorean triples, which are particular cases of Diophantine equations. 34. Thus, ErdQs Diophantine graphs are exactly the Diophantine figures that cannot be extended. 35. Thus, ErdQs Diophantine graphs are exactly the Diophantine figures that cannot be extended. 36. For the number-theoretic applications, see glossary of arithmetic and Diophantine geometry. 37. It is not known whether Tsen rank and Diophantine dimension are equal in general. 38. Diophantine equations . talk ) 17 : 41, 7 March 2014 ( UTC)39. Sprindzuk's research deals with Diophantine approximation, Diophantine equations and transcendental numbers. 40. Sprindzuk's research deals with Diophantine approximation, Diophantine equations and transcendental numbers.