Points on Elliptic Curve over finite fields (Record no. 48896)
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fixed length control field | 01641nam a2200265Ia 4500 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 160627s2015||||xx |||||||||||||| ||und|| |
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 |
Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Full call number | Accession Number | Uniform Resource Identifier | Koha item type |
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IMSc Library | HBNI Th85 | 71818 | http://www.imsc.res.in/xmlui/handle/123456789/370 | THESIS & DISSERTATION |