Отправить статью по E-mail Double Character Sums with Intervals and Arbitrary Sets
- Авторы: Shkredov I.D.1,2,3, Shparlinski I.E.4
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Учреждения:
- 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
- Выпуск: Том 303, № 1 (2018)
- Страницы: 239-258
- Раздел: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175686
- DOI: https://doi.org/10.1134/S0081543818080199
- ID: 175686
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Аннотация
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.
Об авторах
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)
Автор, ответственный за переписку.
Email: ilya.shkredov@gmail.com
Россия, 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
Автор, ответственный за переписку.
Email: igor.shparlinski@unsw.edu.au
Австралия, Sydney, NSW, 2052
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