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The Hardy—Littlewood circle method

2009
One of the most significant all-purpose tools available in the study of rational points on higher-dimensional algebraic varieties is the Hardy—Littlewood circle method. In this chapter we will illustrate the power of this technique both as a theoretical tool and as a heuristic tool.
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Final Proof of the Goldbach Conjecture: Hardy-Littlewood Circle Method with Exponential Sums

A Complete Analytic Proof of the Goldbach Conjecture Using Circle Method and Sieve Theory This paper presents a full resolution of the Goldbach Conjecture, proving that every even integer greater than 2 is the sum of two prime numbers. The proof integrates classical and modern techniques from analytic number theory to construct a seamless argument ...
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A New Application of the Hardy-Littlewood-Kloosterman Method

Proceedings of the London Mathematical Society, 1962
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Regularity and continuity of commutators of the Hardy–Littlewood maximal function

Mathematische Nachrichten, 2020
Feng Liu, Qingying Xue, Pu Zhang
exaly  

Choquard-type equations with Hardy–Littlewood–Sobolev upper-critical growth

Advances in Nonlinear Analysis, 2019
Daniele Cassani, Jianjun Zhang
exaly  

On nonlocal Choquard equations with Hardy–Littlewood–Sobolev critical exponents

Journal of Mathematical Analysis and Applications, 2017
Minbo Yang
exaly  

Sharp estimates of p-adic hardy and Hardy-Littlewood-Pólya operators

Acta Mathematica Sinica, English Series, 2012
Zunwei Fu, Qingyan Wu
exaly  

Hardy–Littlewood–Sobolev type inequalities associated with the Weinstein operator

Integral Transforms and Special Functions, 2020
Néjib Ben Salem
exaly  

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