Peter J. Bradshaw

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All published works

Action	Title	Year	Authors
+ PDF Chat	Growth in Sumsets of Higher Convex Functions	2023	Peter J. Bradshaw
+ PDF Chat	Higher Convexity and Iterated Second Moment Estimates	2022	Peter J. Bradshaw Brandon Hanson Misha Rudnev
+	Growth in Sumsets of Higher Convex Functions	2021	Peter J. Bradshaw
+	Higher Convexity and Iterated Second Moment Estimates	2021	Peter J. Bradshaw Brandon Hanson Misha Rudnev

Common Coauthors

Coauthor	Papers Together
Brandon Hanson	2
Misha Rudnev	2

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	On sums and products of integers	1983	Péter L. Erdős Endre Szemerédi	2
+ PDF Chat	On the size of $k$-fold sum and product sets of integers	2003	Jean Bourgain Mei-Chu Chang	2
+	Convexity and Sumsets	2000	György Elekes Melvyn B. Nathanson Imre Z. Ruzsa	2
+ PDF Chat	Few products, many h-fold sums	2018	Albert Bush Ernie Croot	2
+ PDF Chat	On the few products, many sums problem	2019	Thomas Brendan Murphy Misha Rudnev Ilya D. Shkredov Yuri Shteinikov	2
+	On sum sets of convex functions	2021	Sophie Stevens Audie Warren	2
+ PDF Chat	Higher Convexity and Iterated Sum Sets	2021	Brandon Hanson Oliver Roche‐Newton Misha Rudnev	2
+ PDF Chat	An update on the sum-product problem	2021	Misha Rudnev Sophie Stevens	2
+ PDF Chat	<i>h</i>-Fold Sums from a Set with Few Products	2010	Ernie Croot Derrick Hart	1
+	On Sumsets of Convex Sets	2011	Tomasz Schoen Ilya D. Shkredov	1
+	Extremal problems in discrete geometry	1983	Endre Szemerédi W. T. Trotter	1
+ PDF Chat	On sum-sets and product-sets of complex numbers	2005	József Solymosi	1
+	Expanders with Superquadratic Growth	2017	Antal Balog Oliver Roche‐Newton Dmitry Zhelezov	1
+	On distinct cross-ratios and related growth problems	2017	Misha Rudnev	1
+	On distinct consecutive $r$-differences	2017	Junxian Li George Shakan	1
+ PDF Chat	An Improved Sum-Product Bound for Quaternions	2019	Abdul Basit Ben Lund	1
+ PDF Chat	Convexity, superquadratic growth, and dot products	2023	Brandon Hanson Oliver Roche‐Newton Steven Senger	1
+	Convexity, Superquadratic Growth, and Dot Products	2021	Brandon Hanson Oliver Roche‐Newton Steven Senger	1
+ PDF Chat	Some new results on higher energies	2014	Ilya D. Shkredov	1
+ PDF Chat	On asymptotic formulae in some sum–product questions	2018	Ilya D. Shkredov	1
+ PDF Chat	On iterated product sets with shifts, II	2020	Brandon Hanson Oliver Roche‐Newton Dmitrii Zhelezov	1
+	Additive Properties of Slowly Increasing Convex Sets	2020	Konstantin Olmezov	1
+ PDF Chat	On Sum Sets and Convex Functions	2022	Sophie Stevens Audie Warren	1
+ PDF Chat	Higher Convexity and Iterated Second Moment Estimates	2022	Peter J. Bradshaw Brandon Hanson Misha Rudnev	1
+	An Elementary Analog of the Operator Method in Additive Combinatorics	2021	Konstantin Olmezov	1
+ PDF Chat	On Distinct Consecutive Differences	2021	Imre Z. Ruzsa George Shakan József Solymosi Endre Szemerédi	1
+ PDF Chat	New proofs of Plünnecke-type estimates for product sets in groups	2012	Giorgis Petridis	1
+ PDF Chat	Convexity and a sum-product type estimate	2012	Liangpan Li Oliver Roche‐Newton	1
+	Energy estimates in sum-product and convexity problems	2021	Akshat Mudgal	1
+ PDF Chat	A slight improvement to Garaev's sum product estimate	2008	Nets Hawk Katz Chun‐Yen Shen	1
+ PDF Chat	A Sum–Product Theorem in Function Fields	2013	Thomas F. Bloom Timothy G. F. Jones	1
+ PDF Chat	Combinatorial Complexity of Convex Sequences	2005	Alex Iosevich Sergeĭ Konyagin M. Rudnev V. Ten	1