11086
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Hardy and Ramanujan's Asymptotic Formula for the Partition Numbers
This Demonstration plots the partition function (red) against Hardy and Ramanujan's asymptotic formula for
(blue),
.
Contributed by:
Jon Perry
THINGS TO TRY
Slider Zoom
Gamepad Controls
Automatic Animation
SNAPSHOTS
RELATED LINKS
Partition Function P
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Hardy and Ramanujan's Asymptotic Formula for the Partition Numbers
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/HardyAndRamanujansAsymptoticFormulaForThePartitionNumbers/
Contributed by:
Jon Perry
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
The Number of Partitions with a Given Largest Part
Jon Perry
An Approximation to the n-th Prime Number
Jon Perry
Ramanujan's Strange Formula for Pi
Allan Zea
A Remarkable Formula Of Ramanujan
Juan Luis Varona
Euler's Generating Function for the Partition Numbers
George Beck
Geometric Proof of the Tetrahedral Number Formula
Jim Delany
A Geometric Proof of the Square Pyramidal Number Formula
Okay Arik
Second Hardy-Littlewood Conjecture
Michael Schreiber
Wallis Formula
Michael Schreiber
The Prime-Product Ratio of Ramanujan
Raghavendra Ugare
Related Topics
Number Theory
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+