Question

Prove that $f(n)=n$, $\forall n \in \mathbb N$ for the strictly increasing multiplicative function

score 598 · Answer 1 · 2026-04-15 16:29:42

598

Views

Prove that $f(n)=n$, $\forall n \in \mathbb N$ for the strictly increasing multiplicative function

Published on 15 Apr 2026 - 16:29

score 83 · Answer 2 · 2026-04-10 20:58:21

83

Views

What is Dubikajtis Theorem?

Published on 10 Apr 2026 - 20:58

score 55 · Answer 3 · 2026-04-12 08:43:40

55

Views

Are there any solutions to this functional/differential equation involving an infinite series?

Published on 12 Apr 2026 - 8:43

score 53 · Answer 4 · 2026-04-15 22:17:05

$P(x)$ is Polynomial with real coefficients & $P^n(x)$ is equal to $P(P(...(P(x))...)$ that the number of $P$ is $n$

score 62 · Answer 5 · 2026-04-16 13:56:17

I tried substituting some values of $x$. I also know that $f(x)=x$ is a solution to the function but I am just not able to systematically prove it.

score 51 · Answer 6 · 2026-04-14 20:52:16

51

Views

I am unable to solve the functional equation, or find the necessary relation for this specific question.

Published on 14 Apr 2026 - 20:52

score 286 · Answer 7 · 2026-04-16 11:50:25

286

Views

Find all functions $f :\mathbb{N_0} \to \mathbb{N_0}$ such that $f(f(n)) = n + k$ for any $n \in \mathbb{N_0}$ and $k$ is a positive integer.

Published on 16 Apr 2026 - 11:50

score 70 · Answer 8 · 2026-04-12 16:54:18

70

Views

Find constant in system of function equations

Published on 12 Apr 2026 - 16:54

score 131 · Answer 9 · 2026-04-16 04:24:40

131

Views

Fermat's Last Theorem (FLT) in standard model space corresponding to an infinite Blaschke product

Published on 16 Apr 2026 - 4:24

score 61 · Answer 10 · 2026-04-14 19:39:39

61

Views

Is there a standard name for this Generalized logarithm construction

Published on 14 Apr 2026 - 19:39

score 175 · Answer 11 · 2026-03-28 15:19:06

175

Views

Solving Linear delay differential equation initial value problem

Published on 28 Mar 2026 - 15:19

score 437 · Answer 12 · 2026-04-16 14:32:37

437

Views

Find the function $ f$: $\mathbb R^+$ $\to$ $\mathbb R^+$ satisfying: $ f(2f(x)+2y) = f(2x+y) +y $

Published on 16 Apr 2026 - 14:32

score 98 · Answer 13 · 2026-04-12 19:24:49

98

Views

Calculating $f(x)$

Published on 12 Apr 2026 - 19:24

score 221 · Answer 14 · 2026-04-15 03:59:55

221

Views

Find all functions taking rationals to rationals satisfying $f(x+f(y))=f(x)f(y)$

Published on 15 Apr 2026 - 3:59

score 77 · Answer 15 · 2026-04-11 06:48:44

77

Views

Multiple Chain Rule with Implicit parameters

Published on 11 Apr 2026 - 6:48

List Question

Prove that $f(n)=n$, $\forall n \in \mathbb N$ for the strictly increasing multiplicative function

What is Dubikajtis Theorem?

Are there any solutions to this functional/differential equation involving an infinite series?

$P(x)$ is Polynomial with real coefficients & $P^n(x)$ is equal to $P(P(...(P(x))...)$ that the number of $P$ is $n$

I tried substituting some values of $x$. I also know that $f(x)=x$ is a solution to the function but I am just not able to systematically prove it.

I am unable to solve the functional equation, or find the necessary relation for this specific question.

Find all functions $f :\mathbb{N_0} \to \mathbb{N_0}$ such that $f(f(n)) = n + k$ for any $n \in \mathbb{N_0}$ and $k$ is a positive integer.

Find constant in system of function equations

Fermat's Last Theorem (FLT) in standard model space corresponding to an infinite Blaschke product

Is there a standard name for this Generalized logarithm construction

Solving Linear delay differential equation initial value problem

Find the function $ f$: $\mathbb R^+$ $\to$ $\mathbb R^+$ satisfying: $ f(2f(x)+2y) = f(2x+y) +y $

Calculating $f(x)$

Find all functions taking rationals to rationals satisfying $f(x+f(y))=f(x)f(y)$

Multiple Chain Rule with Implicit parameters

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