Bibliography D

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H. Davenport (2000)
Multiplicative Number Theory,

3 edition, Graduate Texts in Mathematics, Vol. 74, Springer-Verlag.

Note: Revised and with a preface by Hugh L. Montgomery

External Links: ISBN 0-387-95097-4, MathReview, ZentralBlatt

Cited by: §27.12
H. T. Davis (1933)
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Principia Press.

External Links: ZentralBlatt

Cited by: §5.1
N. G. de Bruijn (1961)
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2 edition, Bibliotheca Mathematica, Vol. IV, North-Holland Publishing Co..

External Links: MathReview, ZentralBlatt

Cited by: §2.2
C. de la Vallée Poussin (1896)
Recherches analytiques sur la théorie des nombres premiers. Deuxième partie. Les fonctions de Dirichlet et les nombres premiers de la forme linéaire $Mx+N$ ,

Ann. Soc. Sci. Bruxelles20, pp. 281–397 (French).

Note: Reprinted in Collected works/Oeuvres scientifiques, Vol. I, pp. 309–425, Académie Royale de Belgique, Brussels, 2000.

External Links: MathReview, ZentralBlatt

Cited by: §27.11, §27.2(i)
C. de la Vallée Poussin (1896)
Recherches analytiques sur la théorie des nombres premiers. Première partie. La fonction $\zeta(s)$ de Riemann et les nombres premiers en général, suivi d'un Appendice sur des réflexions applicables à une formule donnée par Riemann,

Ann. Soc. Sci. Bruxelles20, pp. 183–256 (French).

Note: Reprinted in Collected works/Oeuvres scientifiques, Vol. I, pp. 223–296 Académie Royale de Belgique, Brussels, 2000.

External Links: MathReview, ZentralBlatt

Cited by: §27.11, §27.2(i)
A. de-Shalit and I. Talmi (1963)
Nuclear Shell Theory,

Academic Press.

Note: Reprinted by Dover Publications Inc., New York, 2004.

External Links: ISBN 0-486-43933-X

Cited by: §34.12, §34.3(i), §34.3(iv), §34.4, §34.5(i), §34.5(vi), §34.6, §34.7(i), §34.7(vi)
M. Deléglise and J. Rivat (1996)
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External Links: ISSN 0025-5718, Document, MathReview (Andrew Granville), ZentralBlatt

Cited by: §27.18
L. E. Dickson (1919)
History of the Theory of Numbers (3 volumes),

Carnegie Institution of Washington.

Note: Reprinted by Chelsea Publishing Co., New York, 1966.

External Links: MathReview, ZentralBlatt

Cited by: §27.21
R. B. Dingle (1973)
Asymptotic Expansions: Their Derivation and Interpretation,

Academic Press.

External Links: MathReview, ZentralBlatt

Cited by: §2.11(v)
P. G. L. Dirichlet (1849)
Über die Bestimmung der mittleren Werthe in der Zahlentheorie,

Abhandlungen der Königlich Preussischen Akademie der Wissenschaften von 1849, pp. 69–83 (German).

Note: Reprinted in G. Lejeune Dirichlet's Werke, Bände II, pp. 49–66, Reimer, Berlin, 1897 and with corrections in G. Lejeune Dirichlet's Werke, AMS Chelsea Publishing Series, Providence, RI, 1969.

External Links: ISBN 0-8284-0225-6, Link, MathReview

Cited by: §27.11
R. McD. Dodds and G. Wiechers (1972)
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Comput. Phys. Comm.4 (2), pp. 268–274.

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Cited by: §34.15

G. Doetsch (1955)
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Birkhäuser Verlag (German).

External Links: MathReview (I. I. Hirschman), ZentralBlatt

Cited by: §2.5(i)
P. G. Drazin and W. H. Reid (1981)
Hydrodynamic Stability,

Cambridge University Press.

Note: Cambridge Monographs on Mechanics and Applied Mathematics

External Links: ISBN 0-521-22798-4, MathReview (Adelina Georgescu), ZentralBlatt

Cited by: §9.13(ii), §9.13(ii), §9.16
B. I. Dunlap and B. R. Judd (1975)
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J. Mathematical Phys.16, pp. 318–319.

External Links: Document, MathReview (M. J. Westwater)

Cited by: §34.5(vi)
T. M. Dunster, D. A. Lutz and R. Schäfke (1993)
Convergent Liouville-Green expansions for second-order linear differential equations, with an application to Bessel functions,

Proc. Roy. Soc. London Ser. A440, pp. 37–54.

External Links: ISSN 0962-8444, FullText, MathReview (W. Balser), ZentralBlatt

Cited by: §2.8(i)
T. M. Dunster (1990)
Uniform asymptotic solutions of second-order linear differential equations having a double pole with complex exponent and a coalescing turning point,

SIAM J. Math. Anal.21 (6), pp. 1594–1618.

External Links: ISSN 0036-1410, Document, MathReview (F. W. J. Olver), ZentralBlatt

Cited by: §2.8(vi)
T. M. Dunster (1994)
Uniform asymptotic solutions of second-order linear differential equations having a simple pole and a coalescing turning point in the complex plane,

SIAM J. Math. Anal.25 (2), pp. 322–353.

External Links: ISSN 0036-1410, Document, MathReview (H. C. Howard), ZentralBlatt

Cited by: §2.8(vi)
T. M. Dunster (1996)
Asymptotic solutions of second-order linear differential equations having almost coalescent turning points, with an application to the incomplete gamma function,

Proc. Roy. Soc. London Ser. A452, pp. 1331–1349.

External Links: ISSN 0962-8444, FullText, MathReview, ZentralBlatt

Cited by: §2.8(vi)
T. M. Dunster (1996)
Asymptotics of the generalized exponential integral, and error bounds in the uniform asymptotic smoothing of its Stokes discontinuities,

Proc. Roy. Soc. London Ser. A452, pp. 1351–1367.

External Links: ISSN 0962-8444, FullText, MathReview (Alexander Tovbis), ZentralBlatt

Cited by: §2.11(iii)
T. M. Dunster (1996)
Error bounds for exponentially improved asymptotic solutions of ordinary differential equations having irregular singularities of rank one,

Methods Appl. Anal.3 (1), pp. 109–134.

External Links: ISSN 1073-2772, Pdf, MathReview (Roderick Wong), ZentralBlatt

Cited by: §2.11(v)
T. M. Dunster (1997)
Error analysis in a uniform asymptotic expansion for the generalised exponential integral,

J. Comput. Appl. Math.80 (1), pp. 127–161.

External Links: ISSN 0377-0427, Document, MathReview (Eberhard Wagner), ZentralBlatt

Cited by: §2.11(iii)
T. M. Dunster (2001)
Convergent expansions for solutions of linear ordinary differential equations having a simple turning point, with an application to Bessel functions,

Stud. Appl. Math.107 (3), pp. 293–323.

External Links: ISSN 0022-2526, Document, MathReview, ZentralBlatt

Cited by: §2.8(i)
T. M. Dunster (2004)
Convergent expansions for solutions of linear ordinary differential equations having a simple pole, with an application to associated Legendre functions,

Stud. Appl. Math.113 (3), pp. 245–270.

External Links: ISSN 0022-2526, Document, MathReview (Wolfgang Bühring)

Cited by: §2.8(i)