Question

Exercise 34 from Needham Visual Complex Analysis 1. Cyclotomic polynomial for the pth (p prime )root of unity

score 116 · Answer 1 · 2026-03-22 17:12:33

116

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Exercise 34 from Needham Visual Complex Analysis 1. Cyclotomic polynomial for the pth (p prime )root of unity

Published on 22 Mar 2026 - 17:12

score 164 · Answer 2 · 2026-03-22 15:21:36

164

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Smallest prime $p$ which every integer $< n$ is a primitive root $\mod p$

Published on 22 Mar 2026 - 15:21

score 113 · Answer 3 · 2026-03-20 11:20:56

113

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On multiplicative and additive properties of cyclotomic polynomials

Published on 20 Mar 2026 - 11:20

score 69 · Answer 4 · 2026-03-23 06:20:39

69

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Showing two different definitions of a primitive root are the same

Published on 23 Mar 2026 - 6:20

score 695 · Answer 5 · 2026-03-23 03:05:07

695

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Prove $\sum\limits_{j=1}^{p-1} j\left(\frac{j}{p}\right) = 0 $ for an odd prime $p$ with $p\equiv 1\text{ mod } 4$

Published on 23 Mar 2026 - 3:05

score 81 · Answer 6 · 2026-03-22 22:48:54

81

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must a primitive root be invertible?

Published on 22 Mar 2026 - 22:48

score 1.9k · Answer 7 · 2026-03-22 23:18:56

1.9k

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Efficient algorithms for Primitive roots where time-complexity is $\leq O(\sqrt{n})$

Published on 22 Mar 2026 - 23:18

score 64 · Answer 8 · 2026-03-22 19:12:07

64

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Question related to N-th cyclotomic polynomial, principal N-th root of unity and residue class of X

Published on 22 Mar 2026 - 19:12

score 395 · Answer 9 · 2026-03-23 07:10:27

395

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How to show the $p$ minus primitive root is also a primitive root for $p \equiv1 \pmod {4}$

Published on 23 Mar 2026 - 7:10

score 128 · Answer 10 · 2026-03-22 23:49:58

128

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Find a primitive root of (a) $U(\mathbb{Z}/121\mathbb{Z})$, and (b) $U(\mathbb{Z}/18\mathbb{Z})$

Published on 22 Mar 2026 - 23:49

score 76 · Answer 11 · 2026-03-22 19:26:14

76

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How to calculate the cardinality of following set

Published on 22 Mar 2026 - 19:26

score 1.4k · Answer 12 · 2026-03-25 02:31:35

1.4k

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Primitive Roots mod a prime number

Published on 25 Mar 2026 - 2:31

score 746 · Answer 13 · 2026-03-25 02:31:35

746

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Determine if a number is a primitive root

Published on 25 Mar 2026 - 2:31

score 125 · Answer 14 · 2026-03-25 02:31:34

125

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When does a prime divide the sum of its primitive roots?

Published on 25 Mar 2026 - 2:31

score 56 · Answer 15 · 2026-03-25 02:31:35

56

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Why the result is not $0$?

Published on 25 Mar 2026 - 2:31

List Question

Exercise 34 from Needham Visual Complex Analysis 1. Cyclotomic polynomial for the pth (p prime )root of unity

Smallest prime $p$ which every integer $< n$ is a primitive root $\mod p$

On multiplicative and additive properties of cyclotomic polynomials

Showing two different definitions of a primitive root are the same

Prove $\sum\limits_{j=1}^{p-1} j\left(\frac{j}{p}\right) = 0 $ for an odd prime $p$ with $p\equiv 1\text{ mod } 4$

must a primitive root be invertible?

Efficient algorithms for Primitive roots where time-complexity is $\leq O(\sqrt{n})$

Question related to N-th cyclotomic polynomial, principal N-th root of unity and residue class of X

How to show the $p$ minus primitive root is also a primitive root for $p \equiv1 \pmod {4}$

Find a primitive root of (a) $U(\mathbb{Z}/121\mathbb{Z})$, and (b) $U(\mathbb{Z}/18\mathbb{Z})$

How to calculate the cardinality of following set

Primitive Roots mod a prime number

Determine if a number is a primitive root

When does a prime divide the sum of its primitive roots?

Why the result is not $0$?

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