Exponential sums on An, II

被引：2

作者：

Adolphson, A ^{[1
]}

Sperber, S

机构：

[1] Oklahoma State Univ, Dept Math, Stillwater, OK 74078 USA

[2] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2004年 / 356卷 / 01期

关键词：

exponential sum; p-adic cohomology; l-adic cohomology;

D O I：

10.1090/S0002-9947-03-03324-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a vanishing theorem for the p-adic cohomology of exponential sums on A(n). In particular, we obtain new classes of exponential sums on A(n) that have a single nonvanishing p-adic cohomology group. The dimension of this cohomology group equals a sum of Milnor numbers.

引用

页码：345 / 369

页数：25

共 50 条

[1] Purity of exponential sums on An, II
Rojas-Leon, Antonio
[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2007, 603 : 35 - 53
[2] On exponential sums with multiplicative coefficients, II
Bachman, G
[J]. ACTA ARITHMETICA, 2003, 106 (01) : 41 - 57
[3] Averages of short exponential sums, II
Zaharescu, A
[J]. ACTA ARITHMETICA, 2001, 100 (04) : 339 - 348
[4] The asymptotic distribution of exponential sums, II
Patterson, SJ
[J]. EXPERIMENTAL MATHEMATICS, 2005, 14 (01) : 87 - 98
[5] Estimation of exponential sums of polynomials of higher degrees II
Ye, YB
[J]. ACTA ARITHMETICA, 2000, 93 (03) : 221 - 235
[6] Sums of modulos of exponential sums
Fouvry, E
Michel, P
[J]. PACIFIC JOURNAL OF MATHEMATICS, 2003, 209 (02) : 261 - 288
[7] Exponential sums on An
Adolphson, A
Sperber, S
[J]. ISRAEL JOURNAL OF MATHEMATICS, 2000, 120 (1) : 3 - 21
[8] Exponential sums on An
Alan Adolphson
Steven Sperber
[J]. Israel Journal of Mathematics, 2000, 120 : 3 - 21
[9] EXPONENTIAL-SUMS AND THE RIEMANN ZETA-FUNCTION II
WATT, N
[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1989, 39 : 385 - 404
[10] On Cubic Exponential Sums and Gauss Sums
Proskurin N.V.
[J]. Journal of Mathematical Sciences, 2018, 234 (5) : 697 - 700

← 1 2 3 4 5 →