Differences between revisions 67 and 68
 ⇤ ← Revision 67 as of 2020-06-04 19:14:06 → Size: 48538 Editor: kcrisman Comment: ← Revision 68 as of 2020-06-14 09:10:48 → ⇥ Size: 48543 Editor: chapoton Comment: fixone Deletions are marked like this. Additions are marked like this. Line 88: Line 88: def _(N=(100,(2..2000))):    pretty_print(html("$\pi(x)$ and $x/(\log(x)-1)$ for $x < %s$"%N))    show(plot(prime_pi, 0, N, rgbcolor='red') + plot(x/(log(x)-1), 5, N, rgbcolor='blue')) def _(N=(100,list(range(2,2000)))):    pretty_print(html(r"$\pi(x)$ and $x/(\log(x)-1)$ for $x < %s$"%N))    show(plot(prime_pi, 0, N, color='red') + plot(x/(log(x)-1), 5, N, color='blue'))

# Integer Factorization

## Divisibility Poset

by William Stein ## Factor Trees

by William Stein More complicated demonstration using Mathematica: http://demonstrations.wolfram.com/FactorTrees/

## Factoring an Integer

by Timothy Clemans

Sage implementation of the Mathematica demonstration of the same name. http://demonstrations.wolfram.com/FactoringAnInteger/

# Prime Numbers

## Illustrating the prime number theorem

by William Stein ## Prime Spiral - Square FIXME

by David Runde ## Prime Spiral - Polar

by David Runde

Needs fix for show_factors # Modular Forms

## Computing modular forms

by William Stein ## Computing the cuspidal subgroup

by William Stein

ncols not working ## A Charpoly and Hecke Operator Graph

by William Stein # Modular Arithmetic

## Quadratic Residue Table FIXME

by Emily Kirkman  ## Cubic Residue Table FIXME

by Emily Kirkman # Cyclotomic Fields

## Gauss and Jacobi Sums in Complex Plane

by Emily Kirkman ## Exhaustive Jacobi Plotter

by Emily Kirkman # Elliptic Curves

## Adding points on an elliptic curve

by David Møller Hansen ## Plotting an elliptic curve over a finite field # Cryptography

## The Diffie-Hellman Key Exchange Protocol

by Timothy Clemans and William Stein # Other

## Continued Fraction Plotter

by William Stein

crows not working ## Computing Generalized Bernoulli Numbers

by William Stein (Sage-2.10.3) ## Fundamental Domains of SL_2(ZZ)

by Robert Miller # Multiple Zeta Values

by Akhilesh P.

## Computing Multiple Zeta values

### Word Input ### Composition Input ## Program to Compute Integer Relation between Multiple Zeta Values ## Word to composition ## Composition to Word ## Dual of a Word ## Shuffle product of two Words ## Shuffle Regularization at 0 ## Shuffle Regularization at 1 interact/number_theory (last edited 2020-06-14 09:10:48 by chapoton)