Points on varieties over finite fields in small boxes

Igor E. Shparlinski

doi:10.1090/conm/655/13235

Points on varieties over finite fields in small boxes

Igor E. Shparlinski^*

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution › peer-review

Abstract

We present a survey of some recent results about the distribution of rational points on varieties over finite fields. We are especially interested in the results which improve those based on purely algebraic geometry methods.

Original language	English
Title of host publication	SCHOLAR - a Scientific Celebration Highlighting Open Lines of Arithmetic Research
Editors	A. C. Cojocaru, C. David, F. Pappalardi
Place of Publication	Providence
Publisher	American Mathematical Society
Pages	209-233
Number of pages	25
ISBN (Print)	9781470414573
DOIs	https://doi.org/10.1090/conm/655/13235
Publication status	Published - 2015
Externally published	Yes
Event	SCHOLAR - a Scientific Celebration Highlighting Open Lines of Arithmetic Research Conference - Quebec, Canada Duration: 15 Oct 2013 → 17 Oct 2013

Publication series

Name	Contemporary Mathematics
Publisher	AMER MATHEMATICAL SOC
Volume	655
ISSN (Print)	0271-4132

Conference

Conference	SCHOLAR - a Scientific Celebration Highlighting Open Lines of Arithmetic Research Conference
Country/Territory	Canada
City	Quebec
Period	15/10/13 → 17/10/13

Keywords

Polynomial congruences
distribution of rational points
character sums
exponential sums

Access to Document

10.1090/conm/655/13235

Cite this

@inproceedings{72e9913da6a84598b8737c1db9649f3e,

title = "Points on varieties over finite fields in small boxes",

abstract = "We present a survey of some recent results about the distribution of rational points on varieties over finite fields. We are especially interested in the results which improve those based on purely algebraic geometry methods.",

keywords = "Polynomial congruences, distribution of rational points, character sums, exponential sums",

author = "Shparlinski, \{Igor E.\}",

year = "2015",

doi = "10.1090/conm/655/13235",

language = "English",

isbn = "9781470414573",

series = "Contemporary Mathematics",

publisher = "American Mathematical Society",

pages = "209--233",

editor = "Cojocaru, \{A. C.\} and C. David and F. Pappalardi",

booktitle = "SCHOLAR - a Scientific Celebration Highlighting Open Lines of Arithmetic Research",

address = "United States",

note = "SCHOLAR - a Scientific Celebration Highlighting Open Lines of Arithmetic Research Conference ; Conference date: 15-10-2013 Through 17-10-2013",

}

Shparlinski, IE 2015, Points on varieties over finite fields in small boxes. in AC Cojocaru, C David & F Pappalardi (eds), SCHOLAR - a Scientific Celebration Highlighting Open Lines of Arithmetic Research. Contemporary Mathematics, vol. 655, American Mathematical Society, Providence, pp. 209-233, SCHOLAR - a Scientific Celebration Highlighting Open Lines of Arithmetic Research Conference, Quebec, Canada, 15/10/13. https://doi.org/10.1090/conm/655/13235

Points on varieties over finite fields in small boxes. / Shparlinski, Igor E.
SCHOLAR - a Scientific Celebration Highlighting Open Lines of Arithmetic Research. ed. / A. C. Cojocaru; C. David; F. Pappalardi. Providence: American Mathematical Society, 2015. p. 209-233 (Contemporary Mathematics; Vol. 655).

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution › peer-review

TY - GEN

T1 - Points on varieties over finite fields in small boxes

AU - Shparlinski, Igor E.

PY - 2015

Y1 - 2015

N2 - We present a survey of some recent results about the distribution of rational points on varieties over finite fields. We are especially interested in the results which improve those based on purely algebraic geometry methods.

AB - We present a survey of some recent results about the distribution of rational points on varieties over finite fields. We are especially interested in the results which improve those based on purely algebraic geometry methods.

KW - Polynomial congruences

KW - distribution of rational points

KW - character sums

KW - exponential sums

UR - https://www.scopus.com/pages/publications/85106854409

U2 - 10.1090/conm/655/13235

DO - 10.1090/conm/655/13235

M3 - Conference proceeding contribution

SN - 9781470414573

T3 - Contemporary Mathematics

SP - 209

EP - 233

BT - SCHOLAR - a Scientific Celebration Highlighting Open Lines of Arithmetic Research

A2 - Cojocaru, A. C.

A2 - David, C.

A2 - Pappalardi, F.

PB - American Mathematical Society

CY - Providence

T2 - SCHOLAR - a Scientific Celebration Highlighting Open Lines of Arithmetic Research Conference

Y2 - 15 October 2013 through 17 October 2013

ER -

Points on varieties over finite fields in small boxes

Abstract

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Conference

Keywords

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