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* [[/PadicRootAlgorithm]] -- Implement Panayi's p-adic root finding algorithm. |
We'll be drawing our projects from the following sources.
The wiki page for enhancements to p-adics in Sage.
The list of open p-adic tickets on Trac.
- Computational projects proposed by participants on Sunday afternoon.
Sunday Project Proposals
/PowerSeries -- separate precision from arithmetic, come up with applications that it will be used for: power series that converge in a particular p-adic disc. Modules over these rings.
/Factoring -- work on factoring of polynomials over local fields.
/Templates -- templates for elements of p-adic fields.
/SymbolicIntegration -- symbolic integration over p-adics. p-adic Igusa zeta functions. Get rational functions in a symbolic p. Look at Denef's webpage.
/LogarithmsForExt -- logarithms and exponentials for p-adic extension fields.
/FunctionFields -- Hess' automorphism algorithm for finding isomorphisms between function fields.
/WittVectors -- Witt vectors over general rings.
/HilbertSymbols -- General Hilbert symbols for p-adic fields.
/Completions -- Completions of number fields.
/LinearAlgebra -- think. then implement.
Inversion -- Speed up inversion.
/PadicRootAlgorithm -- Implement Panayi's p-adic root finding algorithm.