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Lower bounds for moments of L-functions. [PDF]

open access: yesProc Natl Acad Sci U S A, 2005
Rudnick Z, Soundararajan K.
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Profiles of solutions to an integral system related to the weighted Hardy-Littlewood-Sobolev inequality (Progress in Variational Problems : Variational Methods in the Study of Evolution Equations)

open access: yesProfiles of solutions to an integral system related to the weighted Hardy-Littlewood-Sobolev inequality (Progress in Variational Problems : Variational Methods in the Study of Evolution Equations)
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An Introduction to the Circle Method of Hardy, Littlewood, and Ramanujan

The Journal of Geometric Analysis, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Higher order derivative tests for exponential sums incorporating the Discrete Hardy–Littlewood method

Acta Mathematica Hungarica, 2011
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A problem considered by Friedlander & Iwaniec and the discrete Hardy-Littlewood method

Mathematica Slovaca, 2017
AbstractFollowing Friedlander & Iwaniec [FRIEDLANDER, J. B.—IWANIEC, H.:Summation formulae for coefficients of L-functions,Canad. J. Math.57(2005), 494—505], the objective of this note are the coefficientsanof the Dirichlet series forL(s,χ1)L(s,χ2)L(s,χ3) whereχ1,χ2,χ3are primitive Dirichlet characters with modulesD1,D2,D3. For∑n≤xan$\sum\limits_{n\
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Certain analogues of the Hardyh-Litlewood problem and density methods

Journal of Soviet Mathematics, 1984
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The Hardy-Littlewood method

1996
Abstract The Hardy-Littlewood method is simplest when there is only one condition defining the counting function on the left, and only the integration over a on the right. It has a divide-and-conquer structure.
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