When taken at an argument of cosine this man's namesake 'associate functions' form a component of spherical harmonics.
The Landau problem of proving that a prime exists between n-squared and quantity "n plus one squared" is known as this man's namesake conjecture. Along with Gauss, this man lends his name to an algorithmic process that uses four parameters to quickly calculate the value of pi to a large number of decimal places. His namesake symbol names a construct modulo a prime number 'p' that is equal to one if an arbitrary number 'a' is a quadratic residue of p. When taken at an argument of cosine this man's namesake 'associate functions' form a component of spherical harmonics. His namesake transform involves finding the maximum value of 'x' times a derivative minus its antiderivative and can be used to obtain the Lagrangian from the Hamiltonian. FTP, identify this early 19th century French mathematician who should not be confused with Laplace or Laguerre.
The Landau problem of proving that a prime exists between n-squared and quantity "n plus one squared" is known as this man's namesake conjecture.
Adrien-Marie Legendre