ADDITIVE ENERGY AND THE METRIC POISSONIAN PROPERTY-Reference-Cited by-同舟云学术

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ADDITIVE ENERGY AND THE METRIC POISSONIAN PROPERTY

Published:2018-01 Issue:3 Volume:64 Page:679-700
ISSN:0025-5793
Container-title:Mathematika
language:en
Short-container-title:Mathematika

Author:

Bloom Thomas F.¹,Chow Sam²,Gafni Ayla³,Walker Aled⁴

Affiliation:

1. Heilbronn Institute for Mathematical ResearchDepartment of MathematicsUniversity of BristolUniversity WalkBristolBS8 1TWU.K.

2. Department of MathematicsUniversity of YorkHeslingtonYorkYO10 5DDU.K.

3. Department of Mathematics, 915 Hylan BuildingUniversity of RochesterRochesterNY14627U.S.A.

4. Andrew Wiles BuildingUniversity of OxfordRadcliffe Observatory Quarter, Woodstock RdOxfordOX2 6GGU.K.

Funder

National Science Foundation

Engineering and Physical Sciences Research Council

Publisher

Wiley

Subject

General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1112/S0025579318000207

Reference14 articles.

1. GCD sums from Poisson integrals and systems of dilated functions;Aistleitner C.;J. Eur. Math. Soc. (JEMS),2015

2. Additive energy and the Hausdorff dimension of the exceptional set in metric pair correlation problems

3. The Probabilistic Method

4. GCD sums and complete sets of square-free numbers

5. Large greatest common divisor sums and extreme values of the Riemann zeta function

Cited by 14 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Minimal gaps and additive energy in real-valued sequences;The Quarterly Journal of Mathematics;2023-01-19

2. On the correlations of $n^\alpha$ mod 1;Journal of the European Mathematical Society;2022-10-04

3. Remarks about inhomogeneous pair correlations;Mathematical Proceedings of the Cambridge Philosophical Society;2021-09-06

4. A pair correlation problem, and counting lattice points with the zeta function;Geometric and Functional Analysis;2021-05-08

5. On the pair correlations of powers of real numbers;Israel Journal of Mathematics;2021-04

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