He lends his name to the Diophantine equation a x squared plus b x squared plus c x squared equals zero, whose solutions he categorized.  
He lends his name to the Diophantine equation a x squared plus b x squared plus c x squared equals zero, whose solutions he categorized.  His namesake conjecture, also known as the third Landau problem, states that there is a prime number between n squared and n+1 squared for any integer n.  His namesake duplication formula applies to the gamma function, and his namesake symbol is useful in quadratic reciprocity problems.  His namesake polynomials can be found via the Rodrigues formula, and arise when finding the solutions of Laplace's equation in spherical coordinates. FTP, name this French mathematician whose namesake transformation takes the Langrangian to the Hamiltonian.
He lends his name to the Diophantine equation a x squared plus b x squared plus c x squared equals zero, whose solutions he categorized.  
Adrien-Marie {Legendre}