Points on Elliptic Curve over finite fields (Record no. 48896)

000 -LEADER
fixed length control field 01641nam a2200265Ia 4500
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
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080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER
Universal Decimal Classification number HBNI Th85
100 ## - MAIN ENTRY--AUTHOR NAME
Personal name Sumit Giri
Relator term author
245 ## - TITLE STATEMENT
Title Points on Elliptic Curve over finite fields
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Year of publication 2015
300 ## - PHYSICAL DESCRIPTION
Number of Pages 87p.
502 ## - DISSERTATION NOTE
Dissertation note 2015
502 ## - DISSERTATION NOTE
Degree Type Ph.D
502 ## - DISSERTATION NOTE
Name of granting institution HBNI
520 3# - SUMMARY, ETC.
Summary, etc This thesis is divided into two parts. In the first part,the main topic of interest, the title of this thesis is studied. While the second part studies a problem related to additive representation function related to sum-set. In this thesis, the average of K*(N) over (N less than or equal to x ) , is computed. This asymptotic result improves an earlier result significantly and checks the consistency of the conditional result with other unconditional ones. Further, this work investigates the distribution of ME(N), that is the probability of the event { ME(N) = l } for a fixed integer l and N. For that purpose, taking an average of the indicator function of the event { ME(N) = l } over a class C of curves and prove that ME(N) follows a Poisson distribution on average with a mean equals to the average of ME(N) over the same class C. The second part of the thesis, discusses a problem in additive number theory.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Mathematics
653 10 - INDEX TERM--UNCONTROLLED
Uncontrolled term Additive number theory
653 10 - INDEX TERM--UNCONTROLLED
Uncontrolled term Elliptic Curves
653 10 - INDEX TERM--UNCONTROLLED
Uncontrolled term Finite Fields
653 10 - INDEX TERM--UNCONTROLLED
Uncontrolled term HBNI Th85
720 1# - ADDED ENTRY--UNCONTROLLED NAME
Thesis Advisor Balasubramanian, R.
Relator term Thesis advisor [ths]
856 ## - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://www.imsc.res.in/xmlui/handle/123456789/370
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type THESIS & DISSERTATION
Holdings
Withdrawn status Lost status Damaged status Not for loan Current library Full call number Accession Number Uniform Resource Identifier Koha item type
        IMSc Library HBNI Th85 71818 http://www.imsc.res.in/xmlui/handle/123456789/370 THESIS & DISSERTATION
The Institute of Mathematical Sciences, Chennai, India

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