Short Kloosterman sums with weights

被引：14

作者：

Korolev, M. A. ^{[1
]}

机构：

[1] Russian Acad Sci, VA Steklov Math Inst, Moscow 117901, Russia

来源：

MATHEMATICAL NOTES | 2010年 / 88卷 / 3-4期

关键词：

Kloosterman sum with weight; prime number; Euler function; Mobius function; square-free number;

D O I：

10.1134/S0001434610090105

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain a new estimate for Kloosterman sums with weights in which the number of summands is significantly less than any arbitrarily small fixed power of the modulus.

引用

页码：374 / 385

页数：12

共 10 条

[1] Kloosterman double sums
Karatsuba, AA
[J]. MATHEMATICAL NOTES, 1999, 66 (5-6) : 565 - 569
[2] Analogues of Kloosterman sums
Karatsuba, AA
[J]. IZVESTIYA MATHEMATICS, 1995, 59 (05) : 971 - 981
[3] Fractional parts of functions of a special form
Karatsuba, AA
[J]. IZVESTIYA MATHEMATICS, 1995, 59 (04) : 721 - 740
[4] KARATSUBA AA, 1997, TATRA MT MATH PUBL, V11, P89
[5] KARATSUBA AA, 1994, RUSSIAL ACAD SCI DOK, V48, P452
[6] KARATSUBA AA, 1996, RUSSIAN ACAD SCI DOK, V54, P541
[7] Incomplete Kloosterman sums and their applications
Korolev, MA
[J]. IZVESTIYA MATHEMATICS, 2000, 64 (06) : 1129 - 1152
[8] Remarks in Mr. D. N. Lehmer's essay in Vol. 22 of this journal, S. 293-335
Landau, E
[J]. AMERICAN JOURNAL OF MATHEMATICS, 1904, 26 : 209 - 222
[9] Prakhar K., 1957, PRIMZAHLVERTEILUNG
[10] [No title captured]

← 1 →