Arithmetic Functions Integer Products by Elliott P D T A (15 results)

- Hardcover
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hardcover. Condition: Good. Ex-library book with stickers and/or stamps throughout.

- Hardcover
- First Edition
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Hardcover. Condition: Used-Good. 1st Edition. Cloth, no dj. Binding beginning to separate at front hinge, some gauze visible. Despite this flaw, text block is firm and clean, and volume is in otherwise very good condition.

Published by Springer, New York 1984
- Hardcover
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Hardcover. Condition: ex library-good. Die Grundlehren der mathematischen Wissenschaften/A Series of Comprehensive Studies in Mathematics 272. xv, 461 p. 24 cm. Yellow cloth. Ex library with labels on spine and rear pastedown, ink stamps on top edge and title. Spine and parts of boards faded. Dents in lower edges.

- Hardcover
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Condition: New. This is a Brand-new US Edition. This Item may be shipped from US or any other country as we have multiple locations worldwide.

- Softcover
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- Hardcover
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Condition: New. pp. 461.

- Hardcover
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Condition: New. pp. 461.

- Hardcover
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Condition: New. pp. 461.

- Softcover
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Paperback. Condition: Brand New. reprint edition. 461 pages. 9.25x6.10x1.00 inches. In Stock.

- Softcover
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More images- Softcover
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Taschenbuch. Condition: Neu. Arithmetic Functions and Integer Products | P. D. T. A. Elliott | Taschenbuch | Grundlehren der mathematischen Wissenschaften | 461 S. | Englisch | 2011 | Springer | EAN 9781461385509 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[…at]springer[dot]com | Anbieter: preigu.

- Softcover
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Every positive integer m has a product representation of the form where v, k and the ni are positive integers, and each Ei = ± I. A value can be given for v which is uniform in the m. A representation can be computed so that no ni exceeds a certain… fixed power of 2m, and the number k of terms needed does not exceed a fixed power of log 2m. Consider next the collection of finite probability spaces whose associated measures assume only rational values. Let hex) be a real-valued function which measures the information in an event, depending only upon the probability x with which that event occurs. Assuming hex) to be non negative, and to satisfy certain standard properties, it must have the form -A(x log x + (I - x) 10g(I -x'. Except for a renormalization this is the well-known function of Shannon. What do these results have in common They both apply the theory of arithmetic functions. The two widest classes of arithmetic functions are the real-valued additive and the complex-valued multiplicative functions. Beginning in the thirties of this century, the work of Erdos, Kac, Kubilius, Turan and others gave a discipline to the study of the general value distribution of arithmetic func tions by the introduction of ideas, methods and results from the theory of Probability. I gave an account of the resulting extensive and still developing branch of Number Theory in volumes 239/240 of this series, under the title Probabilistic Number Theory.

- Softcover
- Print on Demand
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Condition: new. Questo è un articolo print on demand.

Language: English
Published by Springer New York, Chapman And Hall/CRC Okt 2011 2011
- Softcover
- Print on Demand
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Every positive integer m has a product representation of the form where v, k and the ni are positive integers, and each Ei = ± I. A value can be given for v which is uniform in the m. A representation can be computed so that no ni e…xceeds a certain fixed power of 2m, and the number k of terms needed does not exceed a fixed power of log 2m. Consider next the collection of finite probability spaces whose associated measures assume only rational values. Let hex) be a real-valued function which measures the information in an event, depending only upon the probability x with which that event occurs. Assuming hex) to be non negative, and to satisfy certain standard properties, it must have the form -A(x log x + (I - x) 10g(I -x'. Except for a renormalization this is the well-known function of Shannon. What do these results have in common They both apply the theory of arithmetic functions. The two widest classes of arithmetic functions are the real-valued additive and the complex-valued multiplicative functions. Beginning in the thirties of this century, the work of Erdos, Kac, Kubilius, Turan and others gave a discipline to the study of the general value distribution of arithmetic func tions by the introduction of ideas, methods and results from the theory of Probability. I gave an account of the resulting extensive and still developing branch of Number Theory in volumes 239/240 of this series, under the title Probabilistic Number Theory. 484 pp. Englisch.

- Softcover
- Print on Demand
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Every positive integer m has a product representation of the form where v, k and the ni are positive integers, and each Ei = ± I. A value can be given for v which is uniform in the m. A representation can be computed so that no ni excee…ds a certain fixed power of 2m, and the number k of terms needed does not exceed a fixed power of log 2m. Consider next the collection of finite probability spaces whose associated measures assume only rational values. Let hex) be a real-valued function which measures the information in an event, depending only upon the probability x with which that event occurs. Assuming hex) to be non negative, and to satisfy certain standard properties, it must have the form -A(x log x + (I - x) 10g(I -x». Except for a renormalization this is the well-known function of Shannon. What do these results have in common They both apply the theory of arithmetic functions. The two widest classes of arithmetic functions are the real-valued additive and the complex-valued multiplicative functions. Beginning in the thirties of this century, the work of Erdos, Kac, Kubilius, Turan and others gave a discipline to the study of the general value distribution of arithmetic func tions by the introduction of ideas, methods and results from the theory of Probability. I gave an account of the resulting extensive and still developing branch of Number Theory in volumes 239/240 of this series, under the title Probabilistic Number Theory.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 484 pp. Englisch.