Question

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

score 82 · Answer 1 · 2026-03-25 14:36:45

82

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 25 Mar 2026 - 14:36

score 159 · Answer 2 · 2026-03-25 14:34:29

159

Views

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

Published on 25 Mar 2026 - 14:34

score 183 · Answer 3 · 2026-05-11 03:17:36

183

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 11 May 2026 - 3:17

score 83 · Answer 4 · 2026-03-25 14:36:47

83

Views

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

Published on 25 Mar 2026 - 14:36

score 239 · Answer 5 · 2026-04-11 21:22:55

239

Views

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

Published on 11 Apr 2026 - 21:22

score 170 · Answer 6 · 2026-03-25 14:36:47

170

Views

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

Published on 25 Mar 2026 - 14:36

score 298 · Answer 7 · 2026-04-09 04:27:19

298

Views

Which functions do Dirichlet series represent?

Published on 09 Apr 2026 - 4:27

score 82 · Answer 8 · 2026-03-25 14:32:41

82

Views

Generalising Dirichlet Distribution to Dirichlet Process

Published on 25 Mar 2026 - 14:32

score 145 · Answer 9 · 2026-03-25 14:34:41

145

Views

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

Published on 25 Mar 2026 - 14:34

score 175 · Answer 10 · 2026-03-25 14:33:16

175

Views

Find Dirichlet series of $2^n$

Published on 25 Mar 2026 - 14:33

score 233 · Answer 11 · 2026-05-10 15:47:56

233

Views

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

Published on 10 May 2026 - 15:47

score 111 · Answer 12 · 2026-03-25 14:34:39

111

Views

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

Published on 25 Mar 2026 - 14:34

score 117 · Answer 13 · 2026-03-25 14:37:39

117

Views

Bounding Integral Involving Riemann Zeta

Published on 25 Mar 2026 - 14:37

score 147 · Answer 14 · 2026-03-25 14:34:29

147

Views

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

Published on 25 Mar 2026 - 14:34

score 835 · Answer 15 · 2026-03-25 14:28:48

835

Views

An entire function interpolating $\mu(n)$

Published on 25 Mar 2026 - 14:28

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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