List questions from analytic-number-theory

Published on 29 Mar 2026 - 13:46

86

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If f(k) is the least number such that none of [f(k), f(k)+1,...f(k)+k-1] are k power free, how fast does f(k) grow?

Published on 08 Sep 2015 - 10:37

449

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A particular cases of second Hardy-Littlewood conjecture

Published on 08 Sep 2015 - 13:35

237

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Ramanujan Theta Function Identity

Published on 10 Apr 2026 - 20:02

130

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Estimate for a specific series

Published on 11 Sep 2015 - 12:00

498

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Computing the tail of the zeta function $\sum_{n>x}n^{-s}$

Published on 30 Mar 2026 - 20:52

77

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A basic question on real multiplicative character

Published on 11 Sep 2015 - 21:19

57

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Why is $M(x)=\frac{1}{x}\sum_{n\leq x}\mu(n)=o(1)$ ($x\to\infty$) equivalent to the Prime Number Theorem

Published on 12 Sep 2015 - 20:18

48

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Simplifying an expression involving log using euler's constant $\gamma$

Published on 12 Sep 2015 - 21:52

2.6k

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The order of li(x)

Published on 13 Sep 2015 - 8:27

135

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Estimating a sum related to a short Euler product

Published on 11 Apr 2026 - 8:30

262

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How do primes determine the locations of zeros of Zeta function?

Published on 10 Apr 2026 - 16:48

112

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Techniques in analytic number theory

Published on 08 Apr 2026 - 16:37

95

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Upper bound for the $t$-th moment in terms of lower moments

Published on 10 Apr 2026 - 2:21

52

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Using partial summation to bound $\sum n^{-s} \log^\ell n$

Published on 17 Sep 2015 - 19:00

List Question

A number-theory question on the deficiency function $2x - \sigma(x)$

If f(k) is the least number such that none of [f(k), f(k)+1,...f(k)+k-1] are k power free, how fast does f(k) grow?

A particular cases of second Hardy-Littlewood conjecture

Ramanujan Theta Function Identity

Estimate for a specific series

Computing the tail of the zeta function $\sum_{n>x}n^{-s}$

A basic question on real multiplicative character

Why is $M(x)=\frac{1}{x}\sum_{n\leq x}\mu(n)=o(1)$ ($x\to\infty$) equivalent to the Prime Number Theorem

Simplifying an expression involving log using euler's constant $\gamma$

The order of li(x)

Estimating a sum related to a short Euler product

How do primes determine the locations of zeros of Zeta function?

Techniques in analytic number theory

Upper bound for the $t$-th moment in terms of lower moments

Using partial summation to bound $\sum n^{-s} \log^\ell n$

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