Question

Let $a,m,s,t$ be integers, with $m > 0$ and gcd$(a,m)=1$. Show that if $a^s \equiv a^t \pmod{m}$, then $s \equiv t \pmod{\text{ord}_m(a)}$.

score 17 · Answer 1 · 2024-03-20 17:22:28

Let $a,m,s,t$ be integers, with $m > 0$ and gcd$(a,m)=1$. Show that if $a^s \equiv a^t \pmod{m}$, then $s \equiv t \pmod{\text{ord}_m(a)}$.

score 17 · Answer 2 · 2026-03-13 06:03:36

17

Views

Chebyshev polynomials orthogonal with respect to different weight function?

Published on 13 Mar 2026 - 6:03

score 17 · Answer 3 · 2024-03-19 16:48:07

17

Views

Help Needed: Proving Equivalence of Inner Product and Parallelogram Law

Published on 19 Mar 2024 - 16:48

score 17 · Answer 4 · 2026-03-13 06:03:37

17

Views

Global Stability Difference Equation

Published on 13 Mar 2026 - 6:03

score 17 · Answer 5 · 2024-03-19 12:43:38

17

Views

Set of co-images form left ideal of ring

Published on 19 Mar 2024 - 12:43

score 17 · Answer 6 · 2024-03-19 11:20:56

17

Views

Properties of weak derivatives: Let $u\in W^{k,p}(U)$. Then, prove that $D^{\alpha}u \in W^{k-|\alpha|,p}.$

Published on 19 Mar 2024 - 11:20

score 17 · Answer 7 · 2026-02-23 15:13:24

17

Views

How do I find linearly dependent groups among vectors?

Published on 23 Feb 2026 - 15:13

score 17 · Answer 8 · 2026-03-13 06:04:18

17

Views

Expectation of throws of fair coin

Published on 13 Mar 2026 - 6:04

score 17 · Answer 9 · 2024-03-18 22:06:55

17

Views

Derivation of normal equation for linear regression parameters

Published on 18 Mar 2024 - 22:06

score 17 · Answer 10 · 2024-03-18 20:54:36

17

Views

Convergence of a Sequence and Analysis of Set Openness/Closedness in $\mathbf{R}^2$

Published on 18 Mar 2024 - 20:54

score 17 · Answer 11 · 2024-03-18 18:31:30

17

Views

Condition of function $f$ for non-only-positivity of its Fourier transform

Published on 18 Mar 2024 - 18:31

score 17 · Answer 12 · 2024-03-18 10:19:26

17

Views

Family of lattices defined by $\langle 1,\tau_n \rangle$ with vanishing imaginary part as $n\to\infty$

Published on 18 Mar 2024 - 10:19

score 17 · Answer 13 · 2026-03-13 07:29:40

17

Views

Solving equations in the moduli and conjugate of complex numbers

Published on 13 Mar 2026 - 7:29

score 17 · Answer 14 · 2026-03-13 07:29:41

17

Views

Understanding the formula of two-variable function's Probability Mass Function

Published on 13 Mar 2026 - 7:29

score 17 · Answer 15 · 2024-03-17 10:43:22

17

Views

Prove that MLEs of two independent samples are independent

Published on 17 Mar 2024 - 10:43

List Question

Let $a,m,s,t$ be integers, with $m > 0$ and gcd$(a,m)=1$. Show that if $a^s \equiv a^t \pmod{m}$, then $s \equiv t \pmod{\text{ord}_m(a)}$.

Chebyshev polynomials orthogonal with respect to different weight function?

Help Needed: Proving Equivalence of Inner Product and Parallelogram Law

Global Stability Difference Equation

Set of co-images form left ideal of ring

Properties of weak derivatives: Let $u\in W^{k,p}(U)$. Then, prove that $D^{\alpha}u \in W^{k-|\alpha|,p}.$

How do I find linearly dependent groups among vectors?

Expectation of throws of fair coin

Derivation of normal equation for linear regression parameters

Convergence of a Sequence and Analysis of Set Openness/Closedness in $\mathbf{R}^2$

Condition of function $f$ for non-only-positivity of its Fourier transform

Family of lattices defined by $\langle 1,\tau_n \rangle$ with vanishing imaginary part as $n\to\infty$

Solving equations in the moduli and conjugate of complex numbers

Understanding the formula of two-variable function's Probability Mass Function

Prove that MLEs of two independent samples are independent

Trending Questions

Popular # Hahtags

Popular Questions