TY - CPAPER
AU - Kamel Arifin Mohd Atan
T1 - Newton Polyhedra and Estimation to Exponential Sums
T2 - 2nd IMT-GT Regional Conference on Mathematics, Statistics and Their Applications 2006
DA - 2006///
PY - 2006
CY - Malaysia
AB - The classical Newton polygon is a device for computing the fractional power series expansions of algebraic functions. Newton gave a number of examples of this process in his ”Method of Fluxions” which amount to a general method. However, it was not till much later that Puiseux proved that every branch of a plane algebraic curve defined by a polynomial equation f(x, y) = 0 has an expansionin a neighbourhood of a point (x0, y0) on the curve. In practice, the integers a, b and q can be read off from the Newton polygon and the coefficients cj can be determined successively with ever-increasing labour.
ER -