On the zeros and singularities of p-adic trace functions

被引：1

作者：

Alexandru, Victor ^{[1
]}

Vajaitu, Marian ^{[2
]}

Zaharescu, Alexandru ^{[2
,3
]}

机构：

[1] Univ Bucharest, Dept Math, Bucharest, Romania

[2] Romanian Acad, Simion Stoilow Inst Math, Bucharest, Romania

[3] Univ Illinois, Dept Math, Altgeld Hall,1409 W Green St, Urbana, IL 61801 USA

来源：

COMMUNICATIONS IN ALGEBRA | 2021年 / 49卷 / 03期

关键词：

Krasner analytic functions; local fields; distributions; KRASNER ANALYTIC-FUNCTIONS; POLYNOMIALS;

D O I：

10.1080/00927872.2020.1825722

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a prime number p we consider C-p the topological completion of the algebraic closure of the field of p-adic numbers with respect to the usual p-adic absolute value. In this paper, we point out new connections between zeros and singularities of the trace functions associated with arbitrary elements of C-p.

引用

页码：967 / 978

页数：12

共 50 条

[1] P-ADIC ALGORITHMS AND THE COMPUTATION OF ZEROS OF P-ADIC L-FUNCTIONS
LAMPRECHT, K
ZIMMER, HG
[J]. LECTURE NOTES IN COMPUTER SCIENCE, 1985, 204 : 491 - 502
[2] Zeros of hypergeometric functions in the p-adic setting
Neelam Saikia
[J]. The Ramanujan Journal, 2023, 61 : 1339 - 1355
[3] Zeros of hypergeometric functions in the p-adic setting
Saikia, Neelam
[J]. RAMANUJAN JOURNAL, 2023, 61 (04): : 1339 - 1355
[4] ZEROS OF P-ADIC L-FUNCTIONS
WAGSTAFF, SS
[J]. MATHEMATICS OF COMPUTATION, 1975, 29 (132) : 1138 - 1143
[5] COMPUTATION OF THE ZEROS OF P-ADIC L-FUNCTIONS
ERNVALL, R
METSANKYLA, T
[J]. MATHEMATICS OF COMPUTATION, 1992, 58 (198) : 815 - 830
[6] ZEROS OF p-ADIC HYPERGEOMETRIC FUNCTIONS, p-ADIC ANALOGUES OF KUMMER'S AND PFAFF'S IDENTITIES
Saikia, Neelam
[J]. PACIFIC JOURNAL OF MATHEMATICS, 2020, 307 (02) : 491 - 510
[7] P-ADIC ZEROS OF POLYNOMIALS
LIPSHITZ, L
[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1988, 390 : 208 - 214
[8] ON ZEROS OF P-ADIC FORMS
LEWIS, DJ
MONTGOMERY, HL
[J]. MICHIGAN MATHEMATICAL JOURNAL, 1983, 30 (01) : 83 - 87
[9] ON P-ADIC ZEROS OF FORMS
BROWNAWELL, WD
[J]. JOURNAL OF NUMBER THEORY, 1984, 18 (03) : 342 - 349
[10] Zeros of p-adic forms
Heath-Brown, D. R.
[J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2010, 100 : 560 - 584

← 1 2 3 4 5 →