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What is Additive Energies On Spheres: Abstract about?

This paper investigates the additive properties of finite sets of lattice points on spheres in 3 and 4 dimensions, providing improved bounds for the additive energy of these sets. It presents a significant result that shows a threshold-breaking upper bound for the additive energy, enhancing previous findings by Bourgain and Demeter, and establishes connections to discrete restriction estimates. The methods employed combine incidence geometry and higher energy techniques, yielding results that advance unders

Author

Tirthankar Adhikari

Language

EN