Rational points on elliptic curves John Tate, Joseph H. Silverman
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K

Name: Institution: Rational Points on Elliptic Curves. A very good book written on the subject is "Rational points on Elliptic Curves" by Silverman and Tate. Kovacs - On a generalization of a Theorem of Erdos E. Website / Blog: www.math.rutgers.edu/~tunnell/math574.html. Challenge 4 is a large rational function calculating the "multiply-by-m" map of a point on an elliptic curve. Akhil Mathew - August 17, 2009. In Chapter 1: Rational Points on Elliptic Curves, the authors state two propositions: Proposition 1.1. Of the sum-of-digits-function for complex bases G. Grekos - Extremal problems about additive bases K. If you're interested in algebraic geometry from an elementary point of view, Tate and Silverman's Rational Points on Elliptic Curves is also worth checking out. There is no integral solution (x,y,z) to x^4 + y^4 = z^4 satisfying xyz eq 0. Position: Location: Field of Science: Science - Math - Number Theory - Elliptic Curves and Modular Forms. The first thing that we should do here is to reduce this equation to the Weierstrass normal form. Coffee will be available in room 5212 from 11.30 12.00 Nigel Watt (Edinburgh) " A mean-square bound for Dirichlet's L-function" LUNCH 2.30 Mike Bennett (Ann Arbor) "Simultaneous Pell equations and ranks of elliptic curves" TEA 4.00 ..