sums of squares

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1: 20.12 Mathematical Applications

… ►For applications of ${\theta }_3(0,q)$ to problems involving sums of squares of integers see §27.13(iv), and for extensions see Estermann (1959), Serre (1973, pp. 106–109), Koblitz (1993, pp. 176–177), and McKean and Moll (1999, pp. 142–143). …

2: 10.65 Power Series

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§10.65(iii) Cross-Products and Sums of Squares

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3: 22.6 Elementary Identities

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§22.6(i) Sums of Squares

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4: 10.67 Asymptotic Expansions for Large Argument

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§10.67(ii) Cross-Products and Sums of Squares in the Case $\nu =0$

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5: 20.7 Identities

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§20.7(i) Sums of Squares

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6: Bibliography M

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Infinite families of exact sums of squares formulas, Jacobi elliptic functions, continued fractions, and Schur functions. Ramanujan J. 6 (1), pp. 7–149.

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External Links:

Document, ZentralBlatt

Referenced by:

§27.13(iv).

Encodings:

BibTeX

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New infinite families of exact sums of squares formulas, Jacobi elliptic functions, and Ramanujan’s tau function. Proc. Nat. Acad. Sci. U.S.A. 93 (26), pp. 15004–15008.

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External Links:

ISSN 0027-8424, MathReview (Ken Ono), ZentralBlatt

Referenced by:

§27.13(iv).

Encodings:

BibTeX

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On the representation of numbers as a sum of $2r$ squares. Quarterly Journal of Math. 48, pp. 93–104.

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External Links:

ZentralBlatt

Referenced by:

§27.13(iv).

Encodings:

BibTeX

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7: 10.49 Explicit Formulas

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§10.49(iv) Sums or Differences of Squares

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8: Guide to Searching the DLMF

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Table 1: Query Examples

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Query	Matching records contain
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trigonometric^2 + trig$^2	any sum of the squares of two trigonometric functions such as ${\sin }^{2}z+{\cos }^{2}z$.
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9: Bibliography E

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On the representations of a number as a sum of three squares. Proc. London Math. Soc. (3) 9, pp. 575–594.

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External Links:

Document, MathReview (S. Chowla), ZentralBlatt

Referenced by:

§20.12(i).

Encodings:

BibTeX

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10: Bibliography G

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Representations of Integers as Sums of Squares. Springer-Verlag, New York.

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External Links:

ISBN 0-387-96126-7, MathReview (Harvey Cohn), ZentralBlatt

Referenced by:

§27.13(iv).

Encodings:

BibTeX

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