Number of $A+B \neq C$ solutions in abelian groups and application to counting independent sets in hypergraphs

Aliaksei Semchankau^ab, Dmitry Shabanov^cd, Ilya Shkredov<sup>bef

a</sup> Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Department of Dynamical Systems Theory, Leninskie Gory, 1, Moscow, Russia
^b Steklov Mathematical Institute of Russian Academy of Sciences, Gubkina 8, Moscow, Russia
^c Moscow Institute of Physics and Technology, Laboratory of Combinatorial and Geometric Structures, Institutskiy per. 9, Dolgoprudny, Moscow Region, Russia
^d HSE University, Faculty of Computer Science, Myasnitskaya Str. 20, Moscow, Russia
^e IITP RAS, Bolshoy Karetny per. 19, Moscow, Russia
^f Moscow Institute of Physics and Technology, Institutskiy per. 9, Dolgoprudny, Moscow Region, Russia

Поступила в редакцию: 29.12.2020
Принята в печать: 19.09.2021

Язык публикации: английский

DOI: 10.1016/j.ejc.2021.103453

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