18.785F17 Number Theory I Assignments: Problem Set 9
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چکیده
These problems are related to the material covered in Lectures 17–19. Your solutions are to be written up in latex (you can use the latex source for the problem set as a template) and submitted as a pdf-file via e-mail to Collaboration is permitted/encouraged, but you must identify your collaborators, and any references you consulted. If therearenone,write“Sources consulted: none”atthetopofyourproblemset. The first person to spot each non-trivial typo/error in any of the problem sets or lecture notes will receive 1-5 points of extra credit.
منابع مشابه
18.785F17 Number Theory I Lecture 18 Notes: Dirichlet L-functions, Primes in Arithmetic Progressions
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18.785F17 Number Theory I Lecture 3 Notes: Properties of Dedekind Domains
Definition 3.4. The ideal group IA of a noetherian domain A is the group of invertible fractional ideals. Note that, despite the name, elements of IA need not be ideals. Every nonzero principal fractional ideal (x) is invertible (since (x)−1 = (x−1)), and a product of principal fractional ideals is principal (since (x)(y) = (xy)), as is the unit ideal (1), thus the set of nonzero principal frac...
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تاریخ انتشار 2017