List questions from multiplicative-function

Published on 02 Apr 2021 - 4:46

337

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When multiplying two or more terms in an integral, can I calculate the terms seperately and then multiply?

Published on 09 Apr 2021 - 12:42

71

Views

Equivalence between convex combination and multiplicative form

Published on 26 Apr 2021 - 16:05

34

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totally multiplicative function

Published on 13 May 2021 - 10:16

109

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Do these multiplicative functions exist?

Published on 15 May 2021 - 14:51

221

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How would one motivate/know to introduce the Dirichlet character in the formula for the number of lattice points on a circle of radius $\sqrt N$

Published on 23 Feb 2026 - 9:13

84

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Factorials and Place Value

Published on 03 Sep 2021 - 7:44

92

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How to prove that a function on a quotient set $\mathbb{Z}/n\mathbb{Z}$ is well defined?

Published on 21 Mar 2026 - 23:52

391

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Prove that $f(n)=n^2$ where $f$ is a strictly increasing multiplicative function with $f(2)=4$.

Published on 18 Sep 2021 - 13:35

121

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Find the values of $f(2)$ for which $f$ cannot be a strictly increasing and completely multiplicative function

Published on 18 Sep 2021 - 18:35

83

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$f$ is multiplicative $\implies f^{-1}$ is multiplicative.

Published on 26 Mar 2026 - 4:31

236

Views

Why is it important that the $p$-adic absolute value satisfy multiplicativity?

Published on 17 Nov 2021 - 4:26

91

Views

Fast consecutive prime multiplication

Published on 13 Dec 2021 - 12:01

116

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Let $f:\Bbb{N}\to\Bbb{C}$ denotes the indicator function of squares. Express it in terms of Mobious function $\mu$.

Published on 26 Mar 2026 - 6:21

67

Views

Necessary and sufficient condition to be completely multiplicative

Published on 26 Mar 2026 - 6:10

List Question

Sums of divisors of a Jacobi symbol

When multiplying two or more terms in an integral, can I calculate the terms seperately and then multiply?

Equivalence between convex combination and multiplicative form

totally multiplicative function

Do these multiplicative functions exist?

How would one motivate/know to introduce the Dirichlet character in the formula for the number of lattice points on a circle of radius $\sqrt N$

Factorials and Place Value

How to prove that a function on a quotient set $\mathbb{Z}/n\mathbb{Z}$ is well defined?

Prove that $f(n)=n^2$ where $f$ is a strictly increasing multiplicative function with $f(2)=4$.

Find the values of $f(2)$ for which $f$ cannot be a strictly increasing and completely multiplicative function

$f$ is multiplicative $\implies f^{-1}$ is multiplicative.

Why is it important that the $p$-adic absolute value satisfy multiplicativity?

Fast consecutive prime multiplication

Let $f:\Bbb{N}\to\Bbb{C}$ denotes the indicator function of squares. Express it in terms of Mobious function $\mu$.

Necessary and sufficient condition to be completely multiplicative

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