List questions from analytic-number-theory

Published on 11 Apr 2026 - 16:28

37

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If $(a,m)=(b,m)=1$ and if $(\exp_m(a),\exp_m(b))=1$, prove that $\exp_m(ab)=\exp_m(a)\exp_m(b).$

Published on 10 May 2026 - 21:01

32

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To show a function is bounded by a function when x is large

Published on 13 Apr 2026 - 3:10

85

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Summatory function of Moebius and Euler's totient function over $y$-smooth numbers

Published on 10 Apr 2026 - 18:33

83

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Inferences about sign of a function from abscissa point

Published on 10 Apr 2026 - 20:13

317

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Partial Euler product

Published on 13 May 2026 - 16:38

233

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Lower Bound on the Sum of Reciprocal of LCM

Published on 09 Apr 2026 - 11:22

314

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Step by step derivation of Robin's inequality $\sigma(n) < e^\gamma n \log \log n$

Published on 15 Apr 2026 - 23:16

94

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Prove the series $\sum n^{-1-it}$ is diverge for all real $t$.

Published on 10 May 2026 - 18:29

220

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Why aren't holomorphic modular forms bounded?

Published on 14 May 2026 - 12:37

77

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"on average" in the Bombieri-Vinogradov theorem

Published on 15 Apr 2026 - 22:13

153

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How to generalize Newman's simplification of O-Tauberian theorem?

Published on 25 Apr 2026 - 16:01

109

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Effectiveness of Landau's Prime Ideal Theorem

Published on 13 Apr 2026 - 8:55

469

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$F(x) = L(1, \chi ) \log x + O(1)$

Published on 16 Apr 2026 - 7:23

208

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$\sum_{p \le x, p \equiv 3 \bmod 10} \frac{1}{p} = \frac{1}{4} \log\log(x)+A+O(\frac{1}{\log x})$

Published on 17 Apr 2026 - 6:34

List Question

Limit of a function, given the recurrence relation

If $(a,m)=(b,m)=1$ and if $(\exp_m(a),\exp_m(b))=1$, prove that $\exp_m(ab)=\exp_m(a)\exp_m(b).$

To show a function is bounded by a function when x is large

Summatory function of Moebius and Euler's totient function over $y$-smooth numbers

Inferences about sign of a function from abscissa point

Partial Euler product

Lower Bound on the Sum of Reciprocal of LCM

Step by step derivation of Robin's inequality $\sigma(n) < e^\gamma n \log \log n$

Prove the series $\sum n^{-1-it}$ is diverge for all real $t$.

Why aren't holomorphic modular forms bounded?

"on average" in the Bombieri-Vinogradov theorem

How to generalize Newman's simplification of O-Tauberian theorem?

Effectiveness of Landau's Prime Ideal Theorem

$F(x) = L(1, \chi ) \log x + O(1)$

$\sum_{p \le x, p \equiv 3 \bmod 10} \frac{1}{p} = \frac{1}{4} \log\log(x)+A+O(\frac{1}{\log x})$

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