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The American Mathematical Monthly Volume 104, 1997 - Issue 8
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Original Articles

Newman's Short Proof of the Prime Number Theorem

D. ZagierMax-Planck-Institut für Mathematik Gottfried-Claren-Straße 26 D-53225Bonn, [email protected]
Pages 705-708 | Published online: 10 Apr 2018

Citations (16)

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Read on this site (2)

Mohamed El Boujnouni. (2021) A study of prime numbers distribution based on support vector domain description. Journal of Information and Optimization Sciences 42:4, pages 865-882.
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Frits Beukers, Florian Luca & Frans Oort. (2012) Power Values of Divisor Sums. The American Mathematical Monthly 119:5, pages 373-380.
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Articles from other publishers (14)

Han-Lin Li, Shu-Cherng Fang & Way Kuo. (2024) The Periodic Table of Primes. SSRN Electronic Journal.
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Pedro Rosa, André Souto & José Cecílio. (2023) Light-SAE: A Lightweight Authentication Protocol for Large-Scale IoT Environments Made With Constrained Devices. IEEE Transactions on Network and Service Management 20:3, pages 2428-2441.
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Charles H. C. Little, Kee L. Teo & Bruce van BruntCharles H. C. Little, Kee L. Teo & Bruce van Brunt. 2022. An Introduction to Infinite Products. An Introduction to Infinite Products 193 228 .
Florian K. Richter. (2021) A new elementary proof of the Prime Number Theorem. Bulletin of the London Mathematical Society 53:5, pages 1365-1375.
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Paul Pollack & Akash Singha RoyPaul Pollack & Akash Singha Roy. 2021. Steps into Analytic Number Theory. Steps into Analytic Number Theory 159 166 .
Vicente Jara-Vera & Carmen Sánchez-Ávila. (2020) New Proof That the Sum of the Reciprocals of Primes Diverges. Mathematics 8:9, pages 1414.
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Gregory Debruyne & Jasson Vindas. (2019) Complex Tauberian theorems for Laplace transforms with local pseudofunction boundary behavior. Journal d'Analyse Mathématique 138:2, pages 799-833.
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Mohammad Ardeshir, Erfan Khaniki & Mohsen Shahriari. (2019) A Counterexample to Polynomially Bounded Realizability of Basic Arithmetic. Notre Dame Journal of Formal Logic 60:3.
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Gregory Debruyne & Jasson Vindas. (2018) Optimal Tauberian constant in Ingham’s theorem for Laplace transforms. Israel Journal of Mathematics 228:2, pages 557-586.
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Markus Hartlapp. (2018) A quantified Tauberian theorem for the Laplace-Stieltjes transform. Archiv der Mathematik 111:1, pages 71-83.
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Andrew R. Booker. 2016. The Once and Future Turing. The Once and Future Turing 34 52 .
. 2016. The Once and Future Turing. The Once and Future Turing 1 3 .
Andrzej Białynicki-Birula & Mariusz Skałba. 2016. Lectures on Number Theory. Lectures on Number Theory.
John Harrison. (2009) Formalizing an Analytic Proof of the Prime Number Theorem. Journal of Automated Reasoning 43:3, pages 243-261.
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