WOLFRAM|DEMONSTRATIONS PROJECT

Successive Differences and Accumulations of the Jacobi Symbol

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index of Jacobi modulus
3
prime Legendre moduli
include even Jacobi moduli
prime inputs
successive
pairwise accumulations
differences
accumulation
identity
gray negative range
render modulus
2
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.