Question

Is there a valid explicit formula for $f(x)=\sum\limits_{n=1}^x \frac{1}{n}\sum\limits_{d|n} \mu(d)\,d$?

score 148 · Answer 1 · 2026-03-25 10:57:25

148

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Is there a valid explicit formula for $f(x)=\sum\limits_{n=1}^x \frac{1}{n}\sum\limits_{d|n} \mu(d)\,d$?

Published on 25 Mar 2026 - 10:57

score 203 · Answer 2 · 2020-01-16 20:05:03

203

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Is there a simple correction to this definition of the conductor of a Dirichlet character?

Published on 16 Jan 2020 - 20:05

score 69 · Answer 3 · 2020-01-23 21:19:24

69

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score 297 · Answer 4 · 2020-02-01 16:47:13

297

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score 76 · Answer 5 · 2020-02-02 22:46:30

76

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How is the parity condition determined for modular forms corresponding to $L(s, \chi_1) L(s, \chi_2)$?

Published on 02 Feb 2020 - 22:46

score 29 · Answer 6 · 2020-02-21 06:38:43

29

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$\sum n!a_n/(x(x+1)\cdots(x+n))$ and $\sum a_n/n^x$ has the same domain of convergence.

Published on 21 Feb 2020 - 6:38

score 415 · Answer 7 · 2026-02-24 08:56:49

415

Views

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score 102 · Answer 8 · 2026-03-25 12:50:14

102

Views

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153

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86

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score 49 · Answer 11 · 2020-03-26 18:31:47

49

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score 95 · Answer 12 · 2020-03-30 06:42:08

95

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score 130 · Answer 13 · 2020-04-07 15:29:04

130

Views

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score 25 · Answer 14 · 2020-04-10 15:53:09

25

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score 52 · Answer 15 · 2020-04-17 21:14:22

52

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Published on 17 Apr 2020 - 21:14

List Question

Is there a valid explicit formula for $f(x)=\sum\limits_{n=1}^x \frac{1}{n}\sum\limits_{d|n} \mu(d)\,d$?

Is there a simple correction to this definition of the conductor of a Dirichlet character?

Questions on explicit formulas related to $\frac{L_{k,j}(s)}{\zeta(s)}$

Question on Relationship between Modular Forms and Dirichlet L-Series

How is the parity condition determined for modular forms corresponding to $L(s, \chi_1) L(s, \chi_2)$?

$\sum n!a_n/(x(x+1)\cdots(x+n))$ and $\sum a_n/n^x$ has the same domain of convergence.

Dirichlet series - distance between $\sigma_u$ and $\sigma_c$

Question on the coefficient of the Dirichlet series related to $\frac{\zeta(s+2)}{\zeta(s)}$

Non-vanishing of Dirichlet $L$-function $L(s,\chi)$ for $\Re(s)=1$

DP Chinese Restaurant Process Metaphor - Base Distribution?

Dirichlet Theorem Expansion to power series

Cauchy Integral Formula and Dirichlet Series

Establish a lower bound for the generalized alternating harmonic series

The length of the third piece in the Stick breaking process

Verifying the global maxima of a smooth function using Dirichlet Series?

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