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Mathematics of the USSR-Sbornik, 1992, Volume 71, Issue 1, Pages 41–50
DOI: https://doi.org/10.1070/SM1992v071n01ABEH001389 (Mi sm1217) 		 
This article is cited in 13 scientific papers (total in 13 papers)

On primitive elements in finite fields and on elliptic curves

I. E. Shparlinski

Kotel'nikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences
English version PDF (471 kB) Citations (13)
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DOI: https://doi.org/10.1070/SM1992v071n01ABEH001389
Abstract: An asymptotic formula for the number of primitive polynomials of the form $f(x)+a$, $a=1,\dots,h$, where $f(x)\in F_p[x]$, is obtained, “on the average” over all polynomials $f$ of fixed degree, and an estimate for the number of “sparse” factorable polynomials is also obtained.
Received: 15.05.1989
Russian version:
Matematicheskii Sbornik, 1990, Volume 181, Number 9, Pages 1196–1206
Bibliographic databases:
UDC: 519.716
MSC: Primary 11T06, 11N45; Secondary 11G20, 11T55, 11Y40
Language: English
Original paper language: Russian
Citation: I. E. Shparlinski, “On primitive elements in finite fields and on elliptic curves”, Mat. Sb., 181:9 (1990), 1196–1206; Math. USSR-Sb., 71:1 (1992), 41–50
Citation in format AMSBIB
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\paper On~primitive elements in finite fields and on elliptic curves
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\pages 1196--1206
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\jour Math. USSR-Sb.
\yr 1992
\vol 71
\issue 1
\pages 41--50
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  • https://doi.org/10.1070/SM1992v071n01ABEH001389
  • https://www.mathnet.ru/eng/sm/v181/i9/p1196
    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1989–1990 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:571
    Russian version PDF:162
    English version PDF:17
    References:50
    First page:1
     
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