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Duality in analytic number theory

Elliott, P. D. T. A.

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Duality in analytic number theory

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Duality in analytic number theory/ P.D.T.A. Elliott.
作者:	Elliott, P. D. T. A.
出版者:	Cambridge :Cambridge University Press, : 1997.,
面頁冊數:	xviii, 341 p. :ill., digital ;24 cm.
附註:	Title from publishers bibliographic system (viewed on 22 Dec 2011).
內容註:	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.
標題:	Number theory. -
電子資源:	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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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.
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650 0 $a Duality theory (Mathematics) $3 666707
830 0 $a Cambridge tracts in mathematics ; $v 122. $3 3470499
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