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![Image for the paper "Some applications of representation theory to the sum–product phenomenon"](/media/dofllwnkcbd05noc.jpeg)
![Image for the paper "Some applications of representation theory to the sum–product phenomenon"](/media/dofllwnkcbd05noc.jpeg)
![Image for the paper "Some applications of representation theory to the sum–product phenomenon"](/media/dofllwnkcbd05noc.jpeg)
LCP
![Image for the paper "Some applications of representation theory to the sum–product phenomenon"](/media/dofllwnkcbd05noc.jpeg)
![Image for the paper "Some applications of representation theory to the sum–product phenomenon"](/media/dofllwnkcbd05noc.jpeg)
![Image for the paper "Some applications of representation theory to the sum–product phenomenon"](/media/dofllwnkcbd05noc.jpeg)
![Image for the paper "Some applications of representation theory to the sum–product phenomenon"](/media/dofllwnkcbd05noc.jpeg)
![Image for the paper "Some applications of representation theory to the sum–product phenomenon"](/media/dofllwnkcbd05noc.jpeg)
![Image for the paper "Some applications of representation theory to the sum–product phenomenon"](/media/dofllwnkcbd05noc.jpeg)
![Image for the paper "Some applications of representation theory to the sum–product phenomenon"](/media/dofllwnkcbd05noc.jpeg)
![Image for the paper "Some applications of representation theory to the sum–product phenomenon"](/media/dofllwnkcbd05noc.jpeg)
![Image for the paper "Some applications of representation theory to the sum–product phenomenon"](/media/dofllwnkcbd05noc.jpeg)
![Image for the paper "Some applications of representation theory to the sum–product phenomenon"](/media/dofllwnkcbd05noc.jpeg)
![Image for the paper "Some applications of representation theory to the sum–product phenomenon"](/media/dofllwnkcbd05noc.jpeg)
![Image for the paper "Some applications of representation theory to the sum–product phenomenon"](/media/dofllwnkcbd05noc.jpeg)
Representation for sum-product
In our paper, we introduce a new method for estimating incidences via representation theory. We obtain several applications to various sums with multiplicative characters and to Zaremba's conjecture from number theory.
Submitted (2023)