Goal -- Separate precision from approximation for power series. Include precision types that give information about the valuations for ALL coefficients (not just the first n). Write functions for solving p-adic differential equations.
Type -- speed improvements, precision handling, advanced functionality
Priority -- Medium-Low
Difficulty -- Medium-Hard
Prerequisites -- polynomial precision
Background -- Take a look at this book: Kedlaya, Kiran. p-adic Differential Equations, Cambridge Studies in Advanced Mathematics 125, Cambridge Univ. Press, 2010.
Contributors --
Progress - not started
Related Tickets --
Discussion
Tasks
- Write precision classes for power series, analogous to those for polynomials.
Write a subclass of PowerSeries_poly to take advantage of these precision structures. Implement nontrivial power series functionality using an approximation and the precision object.
Implement cool stuff for p-adic differential equations.
