10182
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Lattice Points under a Hyperbola
Dirichlet's estimate for the number of lattice points under the hyperbola
in the first quadrant is given by
, where
is Euler's constant, which is 0.577216….
Contributed by:
Jay Warendorff
SNAPSHOTS
RELATED LINKS
Dirichlet Divisor Problem
(
Wolfram
MathWorld
)
Gauss's Circle Problem
(
Wolfram
MathWorld
)
Euler-Mascheroni Constant
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Lattice Points under a Hyperbola
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/LatticePointsUnderAHyperbola/
Contributed by:
Jay Warendorff
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
Dirichlet's Theorem
Jay Warendorff
Levy's Conjecture
Jay Warendorff
How Triple Powers of Integers Begin and End
Ed Pegg Jr
Discrete Number Theory Plots
Ed Pegg Jr
Resizable Number Theory Tables
Ed Pegg Jr
Number Theory Tables
Ed Pegg Jr
The Ulam Prime Spiral
Christopher Skiscim
Number Systems Using a Complex Base
Jarek Duda
Orbits of the Tent Function's Iterates
Bernard Vuilleumier
Gauss Map
Enrique Zeleny
Related Topics
College Mathematics
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+