Successive Differences and Accumulations of the Jacobi Symbol

Render modular results of successive accumulations or differences for Jacobi symbols for the range -59 to 59. The Jacobi symbol extends the Legendre symbol, allowing a generalization of Gauss's celebrated quadratic reciprocity theorem.

SNAPSHOTS

  • [Snapshot]
  • [Snapshot]
  • [Snapshot]

DETAILS

A number is called a quadratic residue modulo if there is a positive integer such that . The Jacobi symbol is 0 for numbers and with a common factor, 1 if is a quadratic residue modulo , and -1 otherwise. The Jacobi symbol reduces to the Legendre symbol if is an odd prime .
    • 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 »

Files require Wolfram CDF Player or Mathematica.