A maximal extension of the Bloom-Maynard bound for sets with no square differences

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1977

Earlier work this paper cites.

T. Kamae, M. Mendès France, van der Corput’s difference theorem , Israel J. Math. 31

1978

Earlier work this paper cites.

A. Sárközy, On difference sets of sequences of integers I , Acta. Math. Hungar. 31

1978

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J. Pintz, W. L. Steiger, E. Szemerédi, On sets of natural numbers whose difference set contains no squares , J. London Math. Soc. 37

1988

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A. Balog, J. Pelikán, J. Pintz, E. Szemerédi, Difference sets without κ \kappa -th powers , Acta Math. Hungar. 65

1994

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J. Lucier, Intersective sets given by a polynomial , Acta Arithmetica 123

2006

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N. Lyall, À. Magyar, Polynomial configurations in difference sets , J. Number Theory 129

2009

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H. Iwaniec, E. Kowalski, Analytic Number Theory , Colloquium Publications 53

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A. Rice, Improvements and extensions of two theorems of Sárközy , Ph.D. thesis, University of Georgia, 2012

2012

Later among the works it cites.

A. Rice, A maximal extension of the best-known bounds for the Furstenberg-Sárközy Theorem , Acta Arith. 187

2019

Later among the works it cites.

T. Bloom and J. Maynard, A new upper bound for sets with no square differences , Compositio Math. 158

2022

Later among the works it cites.