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Duality in analytic number theory

Elliott, P. D. T. A.

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Duality in analytic number theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	Duality in analytic number theory/ P.D.T.A. Elliott.
Author:	Elliott, P. D. T. A.
Published:	Cambridge :Cambridge University Press, : 1997.,
Description:	xviii, 341 p. :ill., digital ;24 cm.
Notes:	Title from publishers bibliographic system (viewed on 22 Dec 2011).
[NT 15003449]:	0. Duality and Fourier analysis -- 1. Background philosophy -- 2. Operator norm inequalities -- 3. Dual norm inequalities -- 4. Exercises: Including the Large Sieve -- 5. The method of the stable dual (1): Deriving the approximate functional equations -- 6. The method of the stable dual (2): Solving the approximate functional equations -- 7. Exercises: Almost linear, Almost exponential -- 8. Additive functions of the class [actual symbol not reproducible]. A first application of the method -- 9. Multiplicative functions of the class [actual symbol not reproducible]: First Approach -- 10. Multiplicative functions of the class [actual symbol not reproducible]: Second Approach -- 11. Multiplicative functions of the class [actual symbol not reproducible]: Third Approach -- 12. Exercises: Why the form? -- 13. Theorems of Wirsing and Halasz -- 14. Again Wirsing's Theorem -- 15. Exercises: The prime number theorem -- 16. Finitely distributed additive functions.
Subject:	Number theory. -
Online resource:	https://doi.org/10.1017/CBO9780511983405
ISBN:	9780511983405

Duality in analytic number theory
Elliott, P. D. T. A.

Duality in analytic number theory[electronic resource] /P.D.T.A. Elliott. - Cambridge :Cambridge University Press,1997. - xviii, 341 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;122. - Cambridge tracts in mathematics ;122..

Title from publishers bibliographic system (viewed on 22 Dec 2011).

Includes bibliographical references (pages 321-332) and indexes.

0. Duality and Fourier analysis -- 1. Background philosophy -- 2. Operator norm inequalities -- 3. Dual norm inequalities -- 4. Exercises: Including the Large Sieve -- 5. The method of the stable dual (1): Deriving the approximate functional equations -- 6. The method of the stable dual (2): Solving the approximate functional equations -- 7. Exercises: Almost linear, Almost exponential -- 8. Additive functions of the class [actual symbol not reproducible]. A first application of the method -- 9. Multiplicative functions of the class [actual symbol not reproducible]: First Approach -- 10. Multiplicative functions of the class [actual symbol not reproducible]: Second Approach -- 11. Multiplicative functions of the class [actual symbol not reproducible]: Third Approach -- 12. Exercises: Why the form? -- 13. Theorems of Wirsing and Halasz -- 14. Again Wirsing's Theorem -- 15. Exercises: The prime number theorem -- 16. Finitely distributed additive functions.

ISBN: 9780511983405Subjects--Topical Terms:

515832
Number theory.

LC Class. No.: QA241 / .E437 1997

Dewey Class. No.: 512.73

Duality in analytic number theory
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020 $a 9780521560887 $q (hardback)
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041 0 $a eng
050 4 $a QA241 $b .E437 1997
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100 1 $a Elliott, P. D. T. A. $q (Peter D. T. A.) $3 3470498
245 1 0 $a Duality in analytic number theory $h [electronic resource] / $c P.D.T.A. Elliott.
260 $a Cambridge : $b Cambridge University Press, $c 1997.
300 $a xviii, 341 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge tracts in mathematics ; $v 122
500 $a Title from publishers bibliographic system (viewed on 22 Dec 2011).
504 $a Includes bibliographical references (pages 321-332) and indexes.
505 0 $a 0. Duality and Fourier analysis -- 1. Background philosophy -- 2. Operator norm inequalities -- 3. Dual norm inequalities -- 4. Exercises: Including the Large Sieve -- 5. The method of the stable dual (1): Deriving the approximate functional equations -- 6. The method of the stable dual (2): Solving the approximate functional equations -- 7. Exercises: Almost linear, Almost exponential -- 8. Additive functions of the class [actual symbol not reproducible]. A first application of the method -- 9. Multiplicative functions of the class [actual symbol not reproducible]: First Approach -- 10. Multiplicative functions of the class [actual symbol not reproducible]: Second Approach -- 11. Multiplicative functions of the class [actual symbol not reproducible]: Third Approach -- 12. Exercises: Why the form? -- 13. Theorems of Wirsing and Halasz -- 14. Again Wirsing's Theorem -- 15. Exercises: The prime number theorem -- 16. Finitely distributed additive functions.
650 0 $a Number theory. $3 515832
650 0 $a Duality theory (Mathematics) $3 666707
830 0 $a Cambridge tracts in mathematics ; $v 122. $3 3470499
856 4 0 $u https://doi.org/10.1017/CBO9780511983405