A problem in comparative prime number theory
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A Tauberian theorem for the Ingham summation method
Vytas Zacharovas (2011)
Acta Arithmetica
Arithmetical Tauberian theorems
P. Erdös, A. Ingham (1964)
Acta Arithmetica
Asymptotics of counts of small components in random structures and models of coagulation-fragmentation
Boris L. Granovsky (2013)
ESAIM: Probability and Statistics
We establish necessary and sufficient conditions for the convergence (in the sense of finite dimensional distributions) of multiplicative measures on the set of partitions. The multiplicative measures depict distributions of component spectra of random structures and also the equilibria of classic models of statistical mechanics and stochastic processes of coagulation-fragmentation. We show that the convergence of multiplicative measures is equivalent to the asymptotic independence of counts of...
Correction to my paper «Sull'analogo della formula di Selberg nei corpi di funzioni»
Enrico Bombieri (1990)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
This Note completes and corrects a preceding Lincean Note by introducing through a tauberian theorem an appropriate condition which removes a counter-example provided by Dr. Zhang.
Ein Tauber-Satz mit Restglied für die Laplace-Transformation.
Albert Stadler (1989)
Commentarii mathematici Helvetici
Eine Anwendungen Tauberscher Sätze in der Zahlentheorie. A.
Wolfgang Schwarz (1965)
Journal für die reine und angewandte Mathematik
Einige Anwendungen Tauberscher Sätze in der Zahlentheorie. B.
Wolfgang Schwarz (1965)
Journal für die reine und angewandte Mathematik
Einige Anwendungen Tauberscher Sätze in der Zahlentheorie. C.
Wolfgang Schwarz (1967)
Journal für die reine und angewandte Mathematik
Ingham Tauberian theorem with an estimate for the error term.
Balanzario, E. P., Marmolejo-Olea, E. (2003)
International Journal of Mathematics and Mathematical Sciences
On some tauberian theorems related to the prime number theorem
A. Hildebrand, G. Tenenbaum (1994)
Compositio Mathematica
On Summatory Functions of Additive Functions and Regular Variation
Aleksandar Ivić (2002)
Publications de l'Institut Mathématique
On the Tauberian constant in the Ikehara theorem
Jiří Čížek (1999)
Czechoslovak Mathematical Journal
Oscillation of Mertens’ product formula
Harold G. Diamond, Janos Pintz (2009)
Journal de Théorie des Nombres de Bordeaux
Mertens’ product formula asserts thatas . Calculation shows that the right side of the formula exceeds the left side for . It was suggested by Rosser and Schoenfeld that, by analogy with Littlewood’s result on , this and a complementary inequality might change their sense for sufficiently large values of . We show this to be the case.
Solution to a problem of Bombieri
Andrew Granville (1993)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
We solve a problem of Bombieri, stated in connection with the «prime number theorem» for function fields.
Tauberian theorems for sum sets
P. Erdös, B. Gordon, L. Rubel, E. Straus (1964)
Acta Arithmetica
The prime number theorem for Beurling's generalized numbers. New cases
Jan-Christoph Schlage-Puchta, Jasson Vindas (2012)
Acta Arithmetica
The quickest proof of the prime number theorem
J. Littlewood (1971)
Acta Arithmetica
Two elementary proofs of Halász's theorem.
Karl-Heinz Indlekofer, Hédi Daboussi (1992)
Mathematische Zeitschrift
Volumes of symmetric spaces via lattice points.
Gillet, Henri, Grayson, Daniel R. (2006)
Documenta Mathematica
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