Distribution of polynomial discriminants modulo a prime

被引：0
|
作者：
Igor E. Shparlinski
机构：
[1] University of New South Wales,Department of Pure Mathematics
来源：
Archiv der Mathematik | 2015年 / 105卷
关键词：
11T06; 11T23; Discriminant; Character sums;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We obtain bounds of sums of additive characters with discriminants of polynomials over finite fields. We use these bounds to study the distribution of discriminants modulo a prime p.
引用
收藏
页码：251 / 259
页数：8
相关论文
共 50 条
  • [1] Distribution of polynomial discriminants modulo a prime
    Shparlinski, Igor E.
    ARCHIV DER MATHEMATIK, 2015, 105 (03) : 251 - 259
  • [2] STATISTICAL DISTRIBUTION OF ROOTS OF A POLYNOMIAL MODULO PRIME POWERS
    Kitaoka, Yoshiyuki
    NUMBER THEORY: PLOWING AND STARRING THROUGH HIGH WAVE FORMS, 2015, 11 : 75 - 94
  • [3] The Tutte polynomial modulo a prime
    Goodall, AJ
    ADVANCES IN APPLIED MATHEMATICS, 2004, 32 (1-2) : 293 - 298
  • [4] A POLYNOMIAL FORM FOR LOGARITHMS MODULO A PRIME
    WELLS, AL
    IEEE TRANSACTIONS ON INFORMATION THEORY, 1984, 30 (06) : 845 - 846
  • [5] Noisy polynomial interpolation modulo prime powers?
    Karpinski, Marek
    Shparlinski, Igor E.
    JOURNAL OF COMPLEXITY, 2021, 64
  • [6] Quantitative Hilbert Irreducibility and Almost Prime Values of Polynomial Discriminants
    Anderson, Theresa C.
    Gafni, Ayla
    Lemke Oliver, Robert J.
    Lowry-Duda, David
    Shakan, George
    Zhang, Ruixiang
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2023, 2023 (03) : 2188 - 2214
  • [7] Quantitative Hilbert Irreducibility and Almost Prime Values of Polynomial Discriminants
    Anderson, Theresa C.
    Gafni, Ayla
    Lemke Oliver, Robert J.
    Lowry-Duda, David
    Shakan, George
    Zhang, Ruixiang
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2021,
  • [8] Solvability of systems of polynomial congruences modulo a large prime
    Huang, MD
    Wong, YC
    COMPUTATIONAL COMPLEXITY, 1999, 8 (03) : 227 - 257
  • [9] Solvability of systems of polynomial congruences modulo a large prime
    M.-D. Huang
    Y.-C. Wong
    computational complexity, 1999, 8 : 227 - 257
  • [10] Solving systems of polynomial congruences modulo a large prime
    Huang, MD
    Wong, YC
    37TH ANNUAL SYMPOSIUM ON FOUNDATIONS OF COMPUTER SCIENCE, PROCEEDINGS, 1996, : 115 - 124
12345