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A cyclotomic field problem is used to determine and understand how all rational primes (q) split in the integers of the given cyclotomic field F = Q(ζN).

What is a cyclotomic field?

A cyclotomic field can be defined as a number field that is typically obtained by adjoining the field of rational numbers with a complex root of unity to Q.

In number theory, a cyclotomic field problem is used to determine how all rational primes (q) split in the integers of the given cyclotomic field F = Q(ζN).

Where:

ζN is a root of unity of order N.

Furthermore, we can infer and logically deduce that a cyclotomic field is a very important mathematical expression which is used in number theory to analyze, depict, and understand how all rational primes (q) split in the integers.

Read more on cyclotomic field here: https://brainly.com/textbook-solutions/q-19-let-e-splitting-field-x-5-1

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