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In this dissertation, the relation between Selmer groups over some number fields of certain elliptic curves induced by a rational 3-isogeny and the 3-part of the ideal class groups of some associated number fields is studied. The results obtained in this direction are then applied to study various classical problems in number theory. One of these is a Diophantine problem related to the rational cube sums: which integers can be written as a sum of cubes of two rational numbers? Let
Author: Santiago Esperanza Amin
ISBN-13: 9798227435835
Publisher: Independent Publisher
Language: English
Published: 10/30/2024
Pages: 102
Format: Paperback
Weight: 0.57lbs
Size: 11.00h x 8.50w x 0.21d
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