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1. |
Record Nr. |
UNINA9910480710103321 |
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Autore |
Elliott P. D. T. A (Peter D. T. A.) |
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Titolo |
On the correlation of multiplicative and the sum of additive arithmetic functions / / P.D.T.A. Elliott |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 1994 |
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©1994 |
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ISBN |
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Descrizione fisica |
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1 online resource (102 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 112, Number 538 |
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Disciplina |
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Soggetti |
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Arithmetic functions |
Number theory |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"November 1994, Volume 112, Number 538 (second of 4 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""Contents""; ""Introduction""; ""1. Correlations of Multiplicative Functions""; ""1.1 Conjectures and Results""; ""1.2 Applications of Theorem 1.1""; ""2. The Method of the Stable Dual (1): Deriving the Approximate Functional Equations""; ""2.1 Background Philosophy""; ""2.2 Operator Norm Inequalities""; ""2.3 Deriving the Approximate Functional Equations""; ""3. The Method of the Stable Dual (2): Solving the Approximate Functional Equations""; ""4. Orthogonality of Operators and the Present Application of the Method to the Study of Correlations"" |
""5. Correlations: Main Lemma in the Proof of Theorem 1.1""""6. Correlations: Auxiliary Lemmas for the Proof of Theorem 1.1""; ""7. Correlations: An Approximate Functional Equation and Its Solution""; ""8. Correlations: Proof of the Main Lemma (completion)""; ""9. Correlations: Proof of Theorem 1.1""; ""10. Sums of Additive Functions""; ""10.1 Limits of Frequencies""; ""10.2 Auxiliary Results""; ""10.3 Proof of Theorem 10.1, Beginning""; ""10.4 Proof of Theorem 10.1, Continued""; ""10.5 Proof of Theorem 10.1, Necessity""; ""10.6 Proof of Theorem 10.1, Sufficiency"" |
""11. Afterwords: Further Possibilities""""References "" |
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2. |
Record Nr. |
UNISA996466824503316 |
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Titolo |
Dynamics of Small Solar System Bodies and Exoplanets [[electronic resource] /] / edited by Jean J. Souchay, Rudolf Dvorak |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2010 |
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ISBN |
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3-642-04458-1 |
1-280-38197-3 |
9786613559883 |
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Edizione |
[1st ed. 2010.] |
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Descrizione fisica |
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1 online resource (X, 518 p. 181 illus.) |
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Collana |
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Lecture Notes in Physics, , 0075-8450 ; ; 790 |
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Disciplina |
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Soggetti |
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Planetology |
Astrophysics |
Physics |
Space sciences |
Dynamics |
Ergodic theory |
Astrophysics and Astroparticles |
Mathematical Methods in Physics |
Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics) |
Dynamical Systems and Ergodic Theory |
Solar system |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Resonances: Models and Captures -- The Lyapunov Characteristic Exponents and Their Computation -- Asteroid Dynamical Families -- An Introduction to the Dynamics of Trojan Asteroids -- The Physics of Asteroids and Their Junction with Dynamics -- The Gaia Mission and the Asteroids -- Cometary Dynamics -- Dynamical Features of the Oort Cloud Comets -- An Introduction to Common Numerical Integration Codes Used in Dynamical Astronomy -- Dynamical Stability of Extra-Solar Planets. |
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Sommario/riassunto |
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This book offers an up-to-date overview of current research on Dynamics of Small Solar System Bodies and Exoplanets. In course-tested extensive chapters the authors cover topics of theoretical celestial mechanics, physics and dynamics of asteroids, comets, stability of exoplanets and numerical integration codes applied in dynamical astronomy. |
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