Мақаланы E-mail арқылы жіберу Double Character Sums with Intervals and Arbitrary Sets
- Авторлар: Shkredov I.D.1,2,3, Shparlinski I.E.4
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Мекемелер:
- 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
- Шығарылым: Том 303, № 1 (2018)
- Беттер: 239-258
- Бөлім: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175686
- DOI: https://doi.org/10.1134/S0081543818080199
- ID: 175686
Дәйексөз келтіру
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Рұқсат берілді
Тек жазылушылар үшін
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.
Авторлар туралы
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)
Хат алмасуға жауапты Автор.
Email: ilya.shkredov@gmail.com
Ресей, 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
Хат алмасуға жауапты Автор.
Email: igor.shparlinski@unsw.edu.au
Австралия, Sydney, NSW, 2052
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