Incomplete Kloosterman sums to prime power modules
Конференцијски прилог (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
We prove that for prime p, p → +∞, integer r ! 4 and q = pr an
incomplete Kloosterman sum of length N to modulus q can be estimated non-trivially (with
power-saving factor) for very small N, namely, for N ≫ (q log q)1/(r−1)
.
Кључне речи:
Kloosterman sums / inverse residues / Karatsuba’s method / powerful modulesИзвор:
Bulletin T.CLIV de l’Académie serbe des sciences et des arts, 2021, 73-92Издавач:
- Beograd : Académie Serbe des sciences et des arts
Напомена:
- Bulletin t. 154 de l'Académie serbe des sciences et des arts. Classe des sciences mathématiques et naturelles. Sciences mathematiques no 46
TY - CONF AU - Korolev, M. A. AU - Rezvyakova, I. S. PY - 2021 UR - https://dais.sanu.ac.rs/123456789/13284 AB - We prove that for prime p, p → +∞, integer r ! 4 and q = pr an incomplete Kloosterman sum of length N to modulus q can be estimated non-trivially (with power-saving factor) for very small N, namely, for N ≫ (q log q)1/(r−1) . PB - Beograd : Académie Serbe des sciences et des arts C3 - Bulletin T.CLIV de l’Académie serbe des sciences et des arts T1 - Incomplete Kloosterman sums to prime power modules SP - 73 EP - 92 UR - https://hdl.handle.net/21.15107/rcub_dais_13284 ER -
@conference{ author = "Korolev, M. A. and Rezvyakova, I. S.", year = "2021", abstract = "We prove that for prime p, p → +∞, integer r ! 4 and q = pr an incomplete Kloosterman sum of length N to modulus q can be estimated non-trivially (with power-saving factor) for very small N, namely, for N ≫ (q log q)1/(r−1) .", publisher = "Beograd : Académie Serbe des sciences et des arts", journal = "Bulletin T.CLIV de l’Académie serbe des sciences et des arts", title = "Incomplete Kloosterman sums to prime power modules", pages = "73-92", url = "https://hdl.handle.net/21.15107/rcub_dais_13284" }
Korolev, M. A.,& Rezvyakova, I. S.. (2021). Incomplete Kloosterman sums to prime power modules. in Bulletin T.CLIV de l’Académie serbe des sciences et des arts Beograd : Académie Serbe des sciences et des arts., 73-92. https://hdl.handle.net/21.15107/rcub_dais_13284
Korolev MA, Rezvyakova IS. Incomplete Kloosterman sums to prime power modules. in Bulletin T.CLIV de l’Académie serbe des sciences et des arts. 2021;:73-92. https://hdl.handle.net/21.15107/rcub_dais_13284 .
Korolev, M. A., Rezvyakova, I. S., "Incomplete Kloosterman sums to prime power modules" in Bulletin T.CLIV de l’Académie serbe des sciences et des arts (2021):73-92, https://hdl.handle.net/21.15107/rcub_dais_13284 .