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Sinopsis
Classically developed as a tool for partial differential equations, the analysis of operators known as pseudodifferential analysis is here regarded as a possible help in questions of arithmetic. The operators which make up the main subject of the book can be characterized in terms of congruence arithmetic. They enjoy a Eulerian structure, and are applied to the search for new conditions equivalent to the Riemann hypothesis. These consist in the validity of certain parameter-dependent estimates for a class of Hermitian forms of finite rank. The Littlewood criterion, involving sums of Möbius coefficients, and the Weil so-called explicit formula, which leads to his positivity criterion, fit within this scheme, using in the first case Weyl's pseudodifferential calculus, in the second case Fuchs'.
The book should be of interest to people looking for new possible approaches to the Riemann hypothesis, also to newperspectives on pseudodifferential analysis and on the way it combines with modular form theory. Analysts will have no difficulty with the arithmetic aspects, with which, save for very few exceptions, no previous acquaintance is necessary.
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Classically developed as a tool for partial differential equations, the analysis of operators known as pseudodifferential analysis is here regarded as a possible help in questions of arithmetic. The operators which make up the main subject of the book can be characterized in terms of congruence arithmetic. They enjoy a Eulerian structure, and are applied to the search for new conditions equivalent to the Riemann hypothesis. These consist in the validity of certain parameter-dependent estimates for a class of Hermitian forms of finite rank. The Littlewood criterion, involving sums of Möbius coeffcients, and the Weil so-called explicit formula, which leads to his positivity criterion, fit within this scheme, using in the first case Weyl's pseudodifferential calculus, in the second case Fuchs'.
The book should be of interest to people looking for new possible approaches to the Riemann hypothesis, also to new perspectives on pseudodifferential analysis and on the way it combines with modular form theory. Analysts will have no diffculty with the arithmetic aspects, with which, save for very few exceptions, no previous acquaintance is necessary.
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Pseudodifferential Methods in Number Theory.
Publicado por
Cham, Birkhäuser., 2018
ISBN 10: 331992706X
ISBN 13: 9783319927060
Antiguo o usado
Tapa blanda
Librería: Universitätsbuchhandlung Herta Hold GmbH, Berlin, Alemania
Calificación del vendedor: 4 de 5 estrellas
VI, 171 p. Softcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Pseudo-Differential Operators, Theory and Applications. Volume 13. Sprache: Englisch. Nº de ref. del artículo: 7576GB
Cantidad disponible: 3 disponibles
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Pseudodifferential Methods in Number Theory
Librería: Books Puddle, New York, NY, Estados Unidos de America
Calificación del vendedor: 4 de 5 estrellas
Condición: New. Nº de ref. del artículo: 26375763509
Cantidad disponible: 1 disponibles
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Pseudodifferential Methods in Number Theory
Librería: Majestic Books, Hounslow, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Condición: New. Nº de ref. del artículo: 370281962
Cantidad disponible: 1 disponibles
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Pseudodifferential Methods in Number Theory (Pseudo-Differential Operators, 13)
Librería: Ria Christie Collections, Uxbridge, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Condición: New. In. Nº de ref. del artículo: ria9783319927060_new
Cantidad disponible: Más de 20 disponibles
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Pseudodifferential Methods in Number Theory
Publicado por
Springer International Publishing Jul 2018, 2018
ISBN 10: 331992706X
ISBN 13: 9783319927060
Nuevo
Taschenbuch
Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Classically developed as a tool for partial differential equations, theanalysis of operators known as pseudodifferential analysis is here regardedas a possible help in questions of arithmetic. The operators which make upthe main subject of the book can be characterized in terms of congruencearithmetic.They enjoy a Eulerian structure, and are applied to the searchfor new conditions equivalent to the Riemann hypothesis. These consist inthe validity of certain parameter-dependent estimates for a class of Hermitianforms of finite rank. The Littlewood criterion, involving sums ofMöbius coefficients, and the Weil so-called explicit formula, which leads tohis positivity criterion, fit within this scheme, using in the first case Weyl'spseudodifferential calculus, in the second case Fuchs'.The book should beof interest to people looking for new possible approaches to the Riemannhypothesis, also to new perspectives on pseudodifferential analysis and onthe way it combines with modular form theory. Analysts will have no difficulty with the arithmetic aspects, with which, save for very few exceptions,no previous acquaintance is necessary. 180 pp. Englisch. Nº de ref. del artículo: 9783319927060
Cantidad disponible: 2 disponibles
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Pseudodifferential Methods in Number Theory
Publicado por
Springer International Publishing, 2018
ISBN 10: 331992706X
ISBN 13: 9783319927060
Nuevo
Kartoniert / Broschiert
Librería: moluna, Greven, Alemania
Calificación del vendedor: 5 de 5 estrellas
Kartoniert / Broschiert. Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Explores a new approach to the Riemann hypothesisExplains the link between the theory of modular distributions and the classical one of modular formsIncludes previously unpublished material Explores a new approach t. Nº de ref. del artículo: 224214929
Cantidad disponible: Más de 20 disponibles
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Pseudodifferential Methods in Number Theory
Librería: Biblios, Frankfurt am main, HESSE, Alemania
Calificación del vendedor: 5 de 5 estrellas
Condición: New. Nº de ref. del artículo: 18375763519
Cantidad disponible: 1 disponibles
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Pseudodifferential Methods in Number Theory
Librería: Chiron Media, Wallingford, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
PF. Condición: New. Nº de ref. del artículo: 6666-IUK-9783319927060
Cantidad disponible: 10 disponibles
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Pseudodifferential Methods in Number Theory (Pseudo-Differential Operators)
Librería: Follow Books, SOUTHFIELD, MI, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Condición: New. New Book. Nº de ref. del artículo: 331992706X-TUX
Cantidad disponible: 2 disponibles
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Pseudodifferential Methods in Number Theory
Publicado por
Springer International Publishing, Springer International Publishing Jul 2018, 2018
ISBN 10: 331992706X
ISBN 13: 9783319927060
Nuevo
Taschenbuch
Librería: buchversandmimpf2000, Emtmannsberg, BAYE, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. Neuware -Classically developed as a tool for partial differential equations, the analysis of operators known as pseudodifferential analysis is here regarded as a possible help in questions of arithmetic. The operators which make up the main subject of the book can be characterized in terms of congruence arithmetic. They enjoy a Eulerian structure, and are applied to the search for new conditions equivalent to the Riemann hypothesis. These consist in the validity of certain parameter-dependent estimates for a class of Hermitian forms of finite rank. The Littlewood criterion, involving sums of Möbius coefficients, and the Weil so-called explicit formula, which leads to his positivity criterion, fit within this scheme, using in the first case Weyl's pseudodifferential calculus, in the second case Fuchs'.The book should be of interest to people looking for new possible approaches to the Riemann hypothesis, also to newperspectives on pseudodifferential analysis and on the way it combines with modular form theory. Analysts will have no difficulty with the arithmetic aspects, with which, save for very few exceptions, no previous acquaintance is necessary.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 180 pp. Englisch. Nº de ref. del artículo: 9783319927060
Cantidad disponible: 2 disponibles