Articles liés à Probabilistic Number Theory I: Mean-Value Theorems
Synopsis
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.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
Acheter neuf
Afficher cet article
EUR 85,55
EUR 11 expédition depuis Allemagne vers France
Destinations, frais et délaisAutres éditions populaires du même titre
Résultats de recherche pour Probabilistic Number Theory I: Mean-Value Theorems
Image fournie par le vendeur
Probabilistic Number Theory I
Edité par
Springer New York Nov 2011, 2011
ISBN 10 : 1461299918
ISBN 13 : 9781461299912
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : 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. N° de réf. du vendeur 9781461299912
Quantité disponible : 2 disponible(s)
Image fournie par le vendeur
Probabilistic Number Theory I
Edité par
Springer New York, 2011
ISBN 10 : 1461299918
ISBN 13 : 9781461299912
Neuf
Couverture souple
Vendeur : moluna, Greven, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Etat : New. N° de réf. du vendeur 4192335
Quantité disponible : Plus de 20 disponibles
Image d'archives
Probabilistic Number Theory I: Mean-Value Theorems (Grundlehren der mathematischen Wissenschaften)
Vendeur : Ria Christie Collections, Uxbridge, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
Etat : New. In. N° de réf. du vendeur ria9781461299912_new
Quantité disponible : Plus de 20 disponibles
Image fournie par le vendeur
Probabilistic Number Theory I
Edité par
Springer New York, Springer New York Nov 2011, 2011
ISBN 10 : 1461299918
ISBN 13 : 9781461299912
Neuf
Taschenbuch
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : 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. N° de réf. du vendeur 9781461299912
Quantité disponible : 1 disponible(s)
Image fournie par le vendeur
Probabilistic Number Theory I : Mean-Value Theorems
Edité par
Springer New York, Springer New York, 2011
ISBN 10 : 1461299918
ISBN 13 : 9781461299912
Neuf
Taschenbuch
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : 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. N° de réf. du vendeur 9781461299912
Quantité disponible : 1 disponible(s)
Image d'archives
Probabilistic Number Theory I: Mean-Value Theorems
Edité par
Springer-Verlag New York Inc., 2011
ISBN 10 : 1461299918
ISBN 13 : 9781461299912
Neuf
Paperback / softback
Vendeur : THE SAINT BOOKSTORE, Southport, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
Paperback / softback. Etat : New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 670. N° de réf. du vendeur C9781461299912
Quantité disponible : Plus de 20 disponibles
Image d'archives
Probabilistic Number Theory I: Mean-Value Theorems (Grundlehren der mathematischen Wissenschaften)
Vendeur : Lucky's Textbooks, Dallas, TX, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
Etat : New. N° de réf. du vendeur ABLIING23Mar2716030030919
Quantité disponible : Plus de 20 disponibles
Image d'archives
Probabilistic Number Theory I: Mean-Value Theorems (Grundlehren der mathematischen Wissenschaften, 239)
Edité par
Springer, 2011
ISBN 10 : 1461299918
ISBN 13 : 9781461299912
Ancien ou d'occasion
Paperback
Vendeur : Mispah books, Redhill, SURRE, Royaume-Uni
Évaluation du vendeur 4 sur 5 étoiles
Paperback. Etat : Like New. Like New. book. N° de réf. du vendeur ERICA77314612999186
Quantité disponible : 1 disponible(s)