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The Uniformity Conjecture in Additive Combinatorics
SIAM Journal on Discrete Mathematics ( IF 0.9 ) Pub Date : 2021-03-04 , DOI: 10.1137/20m1367672 Ilya Shkredov , Jozsef Solymosi
SIAM Journal on Discrete Mathematics ( IF 0.9 ) Pub Date : 2021-03-04 , DOI: 10.1137/20m1367672 Ilya Shkredov , Jozsef Solymosi
SIAM Journal on Discrete Mathematics, Volume 35, Issue 1, Page 307-321, January 2021.
In this paper we show examples for applications of the Bombieri--Lang conjecture in additive combinatorics, giving bounds on the cardinality of sumsets of squares and higher powers of integers.
中文翻译:
加性组合学中的均匀性猜想
SIAM 离散数学杂志,第 35 卷,第 1 期,第 307-321 页,2021
年1 月。在本文中,我们展示了 Bombieri--Lang 猜想在加法组合学中的应用示例,给出了平方和和更高的和集的基数的界限整数的幂。
更新日期:2021-03-04
In this paper we show examples for applications of the Bombieri--Lang conjecture in additive combinatorics, giving bounds on the cardinality of sumsets of squares and higher powers of integers.
中文翻译:
加性组合学中的均匀性猜想
SIAM 离散数学杂志,第 35 卷,第 1 期,第 307-321 页,2021
年1 月。在本文中,我们展示了 Bombieri--Lang 猜想在加法组合学中的应用示例,给出了平方和和更高的和集的基数的界限整数的幂。