Neumann addition theorem
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21: 27.15 Chinese Remainder Theorem
§27.15 Chinese Remainder Theorem
►The Chinese remainder theorem states that a system of congruences , always has a solution if the moduli are relatively prime in pairs; the solution is unique (mod ), where is the product of the moduli. ►This theorem is employed to increase efficiency in calculating with large numbers by making use of smaller numbers in most of the calculation. …By the Chinese remainder theorem each integer in the data can be uniquely represented by its residues (mod ), (mod ), (mod ), and (mod ), respectively. …These numbers, in turn, are combined by the Chinese remainder theorem to obtain the final result , which is correct to 20 digits. …22: 8.15 Sums
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8.15.2
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23: 19.11 Addition Theorems
§19.11 Addition Theorems
…24: 14.12 Integral Representations
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Neumann’s Integral
…25: 1.10 Functions of a Complex Variable
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Picard’s Theorem
… ►§1.10(iv) Residue Theorem
… ►In addition, … ►Rouché’s Theorem
… ►Lagrange Inversion Theorem
…26: 4.21 Identities
27: 1.12 Continued Fractions
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Pringsheim’s Theorem
… ►Van Vleck’s Theorem
… ►The continued fraction converges iff, in addition, …28: 14.30 Spherical and Spheroidal Harmonics
29: Bibliography S
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Sturm oscillation and comparison theorems.
In Sturm-Liouville theory,
pp. 29–43.
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Szegő’s Theorem and Its Descendants. Spectral Theory for Perturbations of Orthogonal Polynomials.
M. B. Porter Lectures, Princeton University Press, Princeton, NJ.
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Staudt and arithmetical properties of Bernoulli numbers.
Historia Sci. (2) 5 (1), pp. 69–74.
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