The Elementary Proof of the Prime Number Theorem: An Historical Perspective

Dorian Goldfeld

Type: Book-Chapter

Publication Date: 2004-01-01

Citations: 49

DOI: https://doi.org/10.1007/978-1-4419-9060-0_10

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+	From Quantum Systems to L-Functions: Pair Correlation Statistics and Beyond	2016	Owen Barrett F.W.K. Firk Steven J. Miller Caroline L. Turnage‐Butterbaugh
+ PDF Chat	Different Approaches to the Distribution of Primes	2010	Andrew Granville
+ PDF Chat	Ergodic Theory: Interactions with Combinatorics and Number Theory	2019	Thomas Ward
+ PDF Chat	A note on Linnik’s theorem on quadratic non-residues	2019	Paul Balister Béla Bollobás Jonathan D. Lee Robert Morris Oliver Riordan
+ PDF Chat	Pretentious multiplicative functions and the prime number theorem for arithmetic progressions	2013	Dimitris Koukoulopoulos
+ PDF Chat	On multiplicative functions which are small on average	2013	Dimitris Koukoulopoulos
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+	The Elementary Proof of the Prime	2009	Joel Spencer Ronald Graham
+	Sección a cargo de Ana Jeremías López y Leovigildo Alonso Tarrío	2008	Atle Selberg Fernando Chamizo Lorente
+	Two classic theorems from number theory: The Prime Number Theorem and Dirichlet's Theorem Senior Exercise in Mathematics	2006	Lee Kennard

Works Cited by This (13)

Action	Title	Year	Authors
+	ON THE REPRESENTATION OF A LARGER EVEN INTEGER AS THE SUM OF A PRIME AND THE PRODUCT OF AT MOST TWO PRIMES	1973	Chen Jing-Run
+	Handbuch der Lehre von der Verteilung der Primzahlen	1911	Edmund Landau
+ PDF Chat	Sur la distribution des zéros de la fonction $\zeta(s)$ et ses conséquences arithmétiques	1896	Jacques Hadamard
+	Erdõs on Graphs : His Legacy of Unsolved Problems	1999	Fan Chung Ronald Graham
+ PDF Chat	Elementary methods in the study of the distribution of prime numbers	1982	Harold G. Diamond
+ PDF Chat	On a New Method in Elementary Number Theory Which Leads to An Elementary Proof of the Prime Number Theorem	1949	P. Erdős
+	On Tchebycheff's Theory of the Totality of the Prime Numbers Comprised within Given Limits	1881	J.J. Sylvester
+	An Elementary Proof of the Prime-Number Theorem	1949	Atle Selberg
+	Etude sur les propriétés des fonctions entières et en particulier d'une fonction considérée par Riemann	1893	Jacques Hadamard
+	Mémoire sur les nombres premiers.	1852	Tchébichef