Enviar artigo por via de e-mail Double Character Sums with Intervals and Arbitrary Sets
- Autores: Shkredov I.D.1,2,3, Shparlinski I.E.4
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Afiliações:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Institute for Information Transmission Problems (Kharkevich Institute)
- Moscow Institute of Physics and Technology (State University)
- Department of Pure Mathematics
- Edição: Volume 303, Nº 1 (2018)
- Páginas: 239-258
- Seção: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175686
- DOI: https://doi.org/10.1134/S0081543818080199
- ID: 175686
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Resumo
We obtain a new bound on certain double sums of multiplicative characters which improves several previous results. This improvement comes from new bounds on the number of collinear triples in finite fields, which is a classical object of study in additive combinatorics.
Sobre autores
Ilya Shkredov
Steklov Mathematical Institute of Russian Academy of Sciences; Institute for Information Transmission Problems (Kharkevich Institute); Moscow Institute of Physics and Technology (State University)
Autor responsável pela correspondência
Email: ilya.shkredov@gmail.com
Rússia, ul. Gubkina 8, Moscow, 119991; Bol’shoi Karetnyi per. 19, str. 1, Moscow, 127051; Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141701
Igor Shparlinski
Department of Pure Mathematics
Autor responsável pela correspondência
Email: igor.shparlinski@unsw.edu.au
Austrália, Sydney, NSW, 2052
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