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  1. What is a primitive polynomial? - Mathematics Stack Exchange

    Jul 31, 2010 · 9 What is a primitive polynomial? I was looking into some random number generation algorithms and 'primitive polynomial' came up a sufficient number of times that I decided to look into …

  2. Finding a primitive root of a prime number

    May 16, 2023 · How would you find a primitive root of a prime number such as 761? How do you pick the primitive roots to test? Randomly? Thanks

  3. When are Idempotents elements of a semisimple algebra primitive

    Jun 26, 2024 · 1 Based on the comments, a primitive central idempotent is a central idempotent that cannot be written as a sum of two central orthogonal idempotents. If we define that a primitive …

  4. algebraic number theory - Proving Dirichlet character is primitive ...

    Sep 29, 2023 · Proving Dirichlet character is primitive Ask Question Asked 2 years, 4 months ago Modified 2 years, 4 months ago

  5. Ackermann Function primitive recursive - Mathematics Stack Exchange

    The only information that i can find on the wikipedia page is [Ackermann's function] grows faster than any primitive recursive function and is therefore not primitive recursive Which isn't a good example of …

  6. number theory - Given 2 is a primitive root mod 19, find all solutions ...

    Mar 23, 2019 · Could you please help me solve the following problem? 2 is a primitive root mod 19. Using this information, find all solutions to x^12 ≡ 7 (mod 19) and x^12 ≡ 6 (mod 19) I think I would …

  7. Ian Stewart, Definition for Primitive Root of Unity

    Sep 25, 2025 · Def 1: A primitive $n$ -th root of unity is an $n$ -th root of 1 that is not an $m$ -th root of 1 for any proper divisor $m$ of $n$. This definition seems different from what I have seen elsewhere.

  8. Basis of primitive nth Roots in a Cyclotomic Extension?

    Another method to show the "only if " direction is to use the fact that the trace of $\zeta_n$ is equal to zero if n is not square free, while by definition, the trace of $\zeta_n$ in this case is exactly the same …

  9. abstract algebra - Primitive and Induced Dirichlet Characters ...

    Apr 5, 2021 · The one called "Introduction to analytic number theory", Chapter $8$ on Dirichlet characters, induced moduli and primitive characters.

  10. Primitive subgroup of $ SU_n - Mathematics Stack Exchange

    Jun 9, 2022 · Wow! this is a beautiful proof of the fact that every primitive finite subgroup of $ SU_n $ is contained in a maximal finite subgroup of $ SU_n $. Earlier I claimed that a finite subgroup of $ SU_n …