Artículos relacionados a Probabilistic Number Theory I: Mean-Value Theorems:...
Probabilistic Number Theory I: Mean-Value Theorems: 239 (Grundlehren der mathematischen Wissenschaften) - Tapa blanda
Sinopsis
In 1791 Gauss made the following assertions (collected works, Vol. 10, p.ll, Teubner, Leipzig 1917): Primzahlen unter a ( = 00 ) a la Zahlen aus zwei Factoren lla· a la (warsch.) aus 3 Factoren 1 (lla)2a --- 2 la et sic in info In more modern notation, let 1tk(X) denote the number of integers not exceeding x which are made up of k distinct prime factors, k = 1, 2, .... Then his assertions amount to the asymptotic estimate x (log log X)k-l ( ) 1tk X '" --"';"'-"---"::--:-'-,- (x-..oo). log x (k-1)! The case k = 1, known as the Prime Number Theorem, was independently established by Hadamard and de la Vallee Poussin in 1896, just over a hundred years later. The general case was deduced by Landau in 1900; it needs only an integration by parts. Nevertheless, one can scarcely say that Probabilistic Number Theory began with Gauss. In 1914 the Indian original mathematician Srinivasa Ramanujan arrived in England. Six years of his short life remained to him during which he wrote, amongst other things, five papers and two notes jointly with G. H. Hardy.
"Sinopsis" puede pertenecer a otra edición de este libro.
Reseña del editor
In 1791 Gauss made the following assertions (collected works, Vol. 10, p.ll, Teubner, Leipzig 1917): Primzahlen unter a ( = 00 ) a la Zahlen aus zwei Factoren lla· a la (warsch.) aus 3 Factoren 1 (lla)2a --- 2 la et sic in info In more modern notation, let 1tk(X) denote the number of integers not exceeding x which are made up of k distinct prime factors, k = 1, 2, .... Then his assertions amount to the asymptotic estimate x (log log X)k-l ( ) 1tk X '" --"';"'-"---"::--:-'-,- (x-..oo). log x (k-1)! The case k = 1, known as the Prime Number Theorem, was independently established by Hadamard and de la Vallee Poussin in 1896, just over a hundred years later. The general case was deduced by Landau in 1900; it needs only an integration by parts. Nevertheless, one can scarcely say that Probabilistic Number Theory began with Gauss. In 1914 the Indian original mathematician Srinivasa Ramanujan arrived in England. Six years of his short life remained to him during which he wrote, amongst other things, five papers and two notes jointly with G. H. Hardy.
"Sobre este título" puede pertenecer a otra edición de este libro.
Comprar nuevo
Ver este artículo
EUR 85,55
EUR 11,00 gastos de envío desde Alemania a España
Destinos, gastos y plazos de envíoOtras ediciones populares con el mismo título
Resultados de la búsqueda para Probabilistic Number Theory I: Mean-Value Theorems:...
Imagen del vendedor
Probabilistic Number Theory I
Publicado por
Springer New York Nov 2011, 2011
ISBN 10: 1461299918
ISBN 13: 9781461299912
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 -In 1791 Gauss made the following assertions (collected works, Vol. 10, p.ll, Teubner, Leipzig 1917): Primzahlen unter a ( = 00 ) a la Zahlen aus zwei Factoren lla a la (warsch.) aus 3 Factoren 1 (lla)2a --- 2 la et sic in info In more modern notation, let 1tk(X) denote the number of integers not exceeding x which are made up of k distinct prime factors, k = 1, 2, . Then his assertions amount to the asymptotic estimate x (log log X)k-l ( ) 1tk X '' --'';''-'---'::--:-'-,- (x-.oo). log x (k-1)! The case k = 1, known as the Prime Number Theorem, was independently established by Hadamard and de la Vallee Poussin in 1896, just over a hundred years later. The general case was deduced by Landau in 1900; it needs only an integration by parts. Nevertheless, one can scarcely say that Probabilistic Number Theory began with Gauss. In 1914 the Indian original mathematician Srinivasa Ramanujan arrived in England. Six years of his short life remained to him during which he wrote, amongst other things, five papers and two notes jointly with G. H. Hardy. 420 pp. Englisch. Nº de ref. del artículo: 9781461299912
Cantidad disponible: 2 disponibles
Imagen del vendedor
Probabilistic Number Theory I
Librería: moluna, Greven, Alemania
Calificación del vendedor: 5 de 5 estrellas
Condición: New. Nº de ref. del artículo: 4192335
Cantidad disponible: Más de 20 disponibles
Imagen de archivo
Probabilistic Number Theory I: Mean-Value Theorems (Grundlehren der mathematischen Wissenschaften)
Librería: Ria Christie Collections, Uxbridge, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Condición: New. In. Nº de ref. del artículo: ria9781461299912_new
Cantidad disponible: Más de 20 disponibles
Imagen del vendedor
Probabilistic Number Theory I : Mean-Value Theorems
Publicado por
Springer New York, Springer New York, 2011
ISBN 10: 1461299918
ISBN 13: 9781461299912
Nuevo
Taschenbuch
Librería: AHA-BUCH GmbH, Einbeck, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - In 1791 Gauss made the following assertions (collected works, Vol. 10, p.ll, Teubner, Leipzig 1917): Primzahlen unter a ( = 00 ) a la Zahlen aus zwei Factoren lla a la (warsch.) aus 3 Factoren 1 (lla)2a --- 2 la et sic in info In more modern notation, let 1tk(X) denote the number of integers not exceeding x which are made up of k distinct prime factors, k = 1, 2, . Then his assertions amount to the asymptotic estimate x (log log X)k-l ( ) 1tk X '' --'';''-'---'::--:-'-,- (x-.oo). log x (k-1)! The case k = 1, known as the Prime Number Theorem, was independently established by Hadamard and de la Vallee Poussin in 1896, just over a hundred years later. The general case was deduced by Landau in 1900; it needs only an integration by parts. Nevertheless, one can scarcely say that Probabilistic Number Theory began with Gauss. In 1914 the Indian original mathematician Srinivasa Ramanujan arrived in England. Six years of his short life remained to him during which he wrote, amongst other things, five papers and two notes jointly with G. H. Hardy. Nº de ref. del artículo: 9781461299912
Cantidad disponible: 1 disponibles
Imagen de archivo
Probabilistic Number Theory I: Mean-Value Theorems
Publicado por
Springer-Verlag New York Inc., 2011
ISBN 10: 1461299918
ISBN 13: 9781461299912
Nuevo
Paperback / softback
Librería: THE SAINT BOOKSTORE, Southport, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Paperback / softback. Condición: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 670. Nº de ref. del artículo: C9781461299912
Cantidad disponible: Más de 20 disponibles
Imagen del vendedor
Probabilistic Number Theory I
Publicado por
Springer New York, Springer New York Nov 2011, 2011
ISBN 10: 1461299918
ISBN 13: 9781461299912
Nuevo
Taschenbuch
Librería: buchversandmimpf2000, Emtmannsberg, BAYE, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. This item is printed on demand - Print on Demand Titel. Neuware -In 1791 Gauss made the following assertions (collected works, Vol. 10, p.ll, Teubner, Leipzig 1917): Primzahlen unter a ( = 00 ) a la Zahlen aus zwei Factoren lla a la (warsch.) aus 3 Factoren 1 (lla)2a --- 2 la et sic in info In more modern notation, let 1tk(X) denote the number of integers not exceeding x which are made up of k distinct prime factors, k = 1, 2, . Then his assertions amount to the asymptotic estimate x (log log X)k-l ( ) 1tk X '' --'';''-'---'::--:-'-,- (x-.oo). log x (k-1)! The case k = 1, known as the Prime Number Theorem, was independently established by Hadamard and de la Vallee Poussin in 1896, just over a hundred years later. The general case was deduced by Landau in 1900; it needs only an integration by parts. Nevertheless, one can scarcely say that Probabilistic Number Theory began with Gauss. In 1914 the Indian original mathematician Srinivasa Ramanujan arrived in England. Six years of his short life remained to him during which he wrote, amongst other things, five papers and two notes jointly with G. H. Hardy.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 420 pp. Englisch. Nº de ref. del artículo: 9781461299912
Cantidad disponible: 1 disponibles
Imagen de archivo
Probabilistic Number Theory I: Mean-Value Theorems (Grundlehren der mathematischen Wissenschaften)
Librería: Lucky's Textbooks, Dallas, TX, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Condición: New. Nº de ref. del artículo: ABLIING23Mar2716030030919
Cantidad disponible: Más de 20 disponibles
Imagen de archivo
Probabilistic Number Theory I: Mean-Value Theorems (Grundlehren der mathematischen Wissenschaften)
Librería: Best Price, Torrance, CA, Estados Unidos de America
Calificación del vendedor: 4 de 5 estrellas
Condición: New. SUPER FAST SHIPPING. Nº de ref. del artículo: 9781461299912
Cantidad disponible: 1 disponibles
Imagen de archivo
Probabilistic Number Theory I: Mean-Value Theorems (Grundlehren der mathematischen Wissenschaften, 239)
Librería: Mispah books, Redhill, SURRE, Reino Unido
Calificación del vendedor: 4 de 5 estrellas
Paperback. Condición: Like New. Like New. book. Nº de ref. del artículo: ERICA77314612999186
Cantidad disponible: 1 disponibles