number-theoretic functions
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1: 27.20 Methods of Computation: Other Number-Theoretic Functions
§27.20 Methods of Computation: Other Number-Theoretic Functions
…2: 27.17 Other Applications
§27.17 Other Applications
…3: 27.5 Inversion Formulas
§27.5 Inversion Formulas
… ►The set of all number-theoretic functions with forms an abelian group under Dirichlet multiplication, with the function in (27.2.5) as identity element; see Apostol (1976, p. 129). …Generating functions yield many relations connecting number-theoretic functions. … ►
27.5.2
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4: 27.3 Multiplicative Properties
5: 27.8 Dirichlet Characters
§27.8 Dirichlet Characters
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27.8.4
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►If , then the characters satisfy the orthogonality relation
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27.8.6
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►A divisor of is called an induced modulus for if
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6: 27.10 Periodic Number-Theoretic Functions
§27.10 Periodic Number-Theoretic Functions
►If is a fixed positive integer, then a number-theoretic function is periodic (mod ) if … ►
27.10.3
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27.10.12