Legendre symbol
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1—10 of 41 matching pages
1: 27.9 Quadratic Characters
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►For an odd prime , the Legendre symbol
is defined as follows.
If divides , then the value of is .
…The Legendre symbol
, as a function of , is a Dirichlet character (mod ).
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27.9.2
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27.9.3
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2: 27.1 Special Notation
3: 19.15 Advantages of Symmetry
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►These reduction theorems, unknown in the Legendre theory, allow symbolic integration without imposing conditions on the parameters and the limits of integration (see §19.29(ii)).
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4: 34.3 Basic Properties: Symbol
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§34.3(vii) Relations to Legendre Polynomials and Spherical Harmonics
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34.3.19
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34.3.21
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5: 14.6 Integer Order
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14.6.5
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6: 19.12 Asymptotic Approximations
7: Errata
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Chapters 10 Bessel Functions, 18 Orthogonal Polynomials, 34 3j, 6j, 9j Symbols
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Equation (14.8.3)
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Equation (14.8.9)
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14.8.3
The symbol has been corrected to be .
Reported by Mark Ashbaugh on 2022-02-08
14.8.9
The symbol has been corrected to be .
Reported by Mark Ashbaugh on 2022-02-08
8: 10 Bessel Functions
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9: 18 Orthogonal Polynomials
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