Question

Is there a name for the number system that's like $\mathbb{Q}$ but without the cancellation law $ax/bx = a/b$?

score 81 · Answer 1 · 2019-10-08 05:46:45

81

Views

Is there a name for the number system that's like $\mathbb{Q}$ but without the cancellation law $ax/bx = a/b$?

Published on 08 Oct 2019 - 5:46

score 158 · Answer 2 · 2019-10-14 19:38:56

158

Views

Convergence of a Dirichlet series from divisors function and Ramanujan zeta identity

Published on 14 Oct 2019 - 19:38

score 182 · Answer 3 · 2026-03-25 11:16:21

182

Views

How does one obtain an expression for the Dirichlet series $g(s, \theta) = \sum_{n=1}^{\infty} \frac{\cos(n \theta)}{n^{s}} $?

Published on 25 Mar 2026 - 11:16

score 82 · Answer 4 · 2019-11-11 17:30:35

82

Views

On a proof of a lemma by Titchmarsh/Bohr and Landau

Published on 11 Nov 2019 - 17:30

score 236 · Answer 5 · 2019-11-15 00:37:10

236

Views

Does $\sum_{n=1}^\infty \frac{1}{\phi(n)^s}$ have a euler product?

Published on 15 Nov 2019 - 0:37

score 169 · Answer 6 · 2019-11-15 18:27:26

169

Views

How to calculate $ \sum_{n=1}^\infty\frac{3^{\omega(n)}\Omega(n)}{n^s} $?

Published on 15 Nov 2019 - 18:27

score 297 · Answer 7 · 2026-03-22 13:30:53

297

Views

Which functions do Dirichlet series represent?

Published on 22 Mar 2026 - 13:30

score 81 · Answer 8 · 2019-11-29 01:54:58

81

Views

Generalising Dirichlet Distribution to Dirichlet Process

Published on 29 Nov 2019 - 1:54

score 144 · Answer 9 · 2019-12-03 13:05:34

144

Views

Finding Dirichlet series of $C_n^2$ and $2^\frac{n}{d}$

Published on 03 Dec 2019 - 13:05

score 174 · Answer 10 · 2019-12-07 09:50:44

174

Views

Find Dirichlet series of $2^n$

Published on 07 Dec 2019 - 9:50

score 231 · Answer 11 · 2019-12-07 16:46:12

231

Views

Trouble Proving $\sum_{n=1}^\infty \frac{\mathrm{d}(n)^2}{n^s}=\frac{\zeta(s)^4}{\zeta(2s)}$

Published on 07 Dec 2019 - 16:46

score 110 · Answer 12 · 2019-12-09 04:38:20

110

Views

Why is $\zeta_m(s)=\prod\limits_\chi L(s,\chi).$ a Dirichlet series with positive coefficients?

Published on 09 Dec 2019 - 4:38

score 116 · Answer 13 · 2019-12-10 19:37:59

116

Views

Bounding Integral Involving Riemann Zeta

Published on 10 Dec 2019 - 19:37

score 146 · Answer 14 · 2019-12-13 13:49:42

146

Views

Value of infinite sum $\sum_{n=1}^\infty \frac{\sin n}{\sqrt{n}}$?

Published on 13 Dec 2019 - 13:49

score 834 · Answer 15 · 2020-01-01 04:11:00

834

Views

An entire function interpolating $\mu(n)$

Published on 01 Jan 2020 - 4:11

List Question

Is there a name for the number system that's like $\mathbb{Q}$ but without the cancellation law $ax/bx = a/b$?

Convergence of a Dirichlet series from divisors function and Ramanujan zeta identity

How does one obtain an expression for the Dirichlet series $g(s, \theta) = \sum_{n=1}^{\infty} \frac{\cos(n \theta)}{n^{s}} $?

On a proof of a lemma by Titchmarsh/Bohr and Landau

Does $\sum_{n=1}^\infty \frac{1}{\phi(n)^s}$ have a euler product?

How to calculate $ \sum_{n=1}^\infty\frac{3^{\omega(n)}\Omega(n)}{n^s} $?

Which functions do Dirichlet series represent?

Generalising Dirichlet Distribution to Dirichlet Process

Finding Dirichlet series of $C_n^2$ and $2^\frac{n}{d}$

Find Dirichlet series of $2^n$

Trouble Proving $\sum_{n=1}^\infty \frac{\mathrm{d}(n)^2}{n^s}=\frac{\zeta(s)^4}{\zeta(2s)}$

Why is $\zeta_m(s)=\prod\limits_\chi L(s,\chi).$ a Dirichlet series with positive coefficients?

Bounding Integral Involving Riemann Zeta

Value of infinite sum $\sum_{n=1}^\infty \frac{\sin n}{\sqrt{n}}$?

An entire function interpolating $\mu(n)$

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