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DC Field | Value | Language |
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dc.contributor.author | Malgorzata Wieczorek | - |
dc.contributor.author | Tomasz Jedrzejak | - |
dc.date.accessioned | 2024-02-27T06:01:18Z | - |
dc.date.available | 2024-02-27T06:01:18Z | - |
dc.date.issued | 2014 | - |
dc.identifier.uri | http://gnanaganga.inflibnet.ac.in:8080/jspui/handle/123456789/6855 | - |
dc.description.abstract | We consider the elliptic curves Eu : y 2 = x 3 + ux2 - 16x and their quadratic twists E~ by a square free integer n, where u 2 + 64 = Pl ... pz, (p; are primes). When l :::, 2, n = l(mod 4) and all prime divisors of n are congruent to 3 modulo 4 we give a complete description of sizes of Selmer groups of E~ in terms of number of even partitions of some graphs. If n is even or l > 2, we give some conditions for twists of rank zero. We deduce also that E~ has rank zero for a positive proportion of squarefreed integers n with a fixed number of prime divisors. | - |
dc.publisher | Journal of the Ramanujan Mathematical Society | - |
dc.title | Partitions of Graphs and Selmer Groups of Elliptic Curves of Neumann-Setzer Type | - |
dc.vol | Vol 29 | - |
dc.issued | No 1 | - |
Appears in Collections: | Articles to be qced |
Files in This Item:
File | Size | Format | |
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Partitions of graphs and Selmer groups of elliptic.pdf Restricted Access | 681.26 kB | Adobe PDF | View/Open Request a copy |
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