SHTUKAS AND JACOBI SUMS

被引：22

作者：

THAKUR, DS

机构：

[1] School of Mathematics, University of Minnesota, Minneapolis, 55455, MN

来源：

INVENTIONES MATHEMATICAE | 1993年 / 111卷 / 03期

关键词：

D O I：

10.1007/BF01231298

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show how the analogues of Jacobi sums, in the context of function fields, introduced and studied in [T1, T2, T3] can be obtained from shtukas introduced and studied in [D2, D3, M]. We apply this to obtain some results on the prime factorization of analogues of Gauss sums and to prove an analogue of the Gross-Koblitz formula for general function field, generalizing the results in [T2]. For this purpose, we also introduce and interpolate a new analogue of gamma function.

引用

页码：557 / 570

页数：14

共 50 条

[1] On a generalization of Jacobi sums
Rojas-Leon, Antonio
[J]. FINITE FIELDS AND THEIR APPLICATIONS, 2022, 77
[2] RECIPROCITY FOR JACOBI SUMS
HELOU, C
[J]. JOURNAL OF NUMBER THEORY, 1993, 44 (02) : 214 - 221
[3] On the pure Jacobi sums
Akiyama, S
[J]. ACTA ARITHMETICA, 1996, 75 (02) : 97 - 104
[4] JACOBI SUMS AS GROSSENCHARAKTERE
WEIL, A
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1952, 73 (NOV) : 487 - 495
[5] Congruences for Jacobi sums
Evans, R
[J]. JOURNAL OF NUMBER THEORY, 1998, 71 (01) : 109 - 120
[6] RECIPROCITY AND JACOBI SUMS
MUSKAT, JB
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1967, 20 (02) : 275 - &
[7] A NOTE ON JACOBI SUMS
KIDA, M
ONO, T
[J]. PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1993, 69 (02) : 32 - 34
[8] On the distribution of Jacobi sums
Lu, Qing
Zheng, Weizhe
Zheng, Zhiyong
[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2018, 741 : 67 - 86
[9] On the uniform distribution of Gauss sums and Jacobi sums
Katz, NM
Zheng, ZY
[J]. ANALYTIC NUMBER THEORY, VOL. 2 - PROCEEDINGS OF A CONFERENCE IN HONOR OF HEINI HALBERSTAM, 1996, 139 : 537 - 558
[10] SUMS OF GAUSS, JACOBI, AND JACOBSTHAL
BERNDT, BC
EVANS, RJ
[J]. JOURNAL OF NUMBER THEORY, 1979, 11 (03) : 349 - 398

← 1 2 3 4 5 →