List questions from analytic-number-theory

Published on 15 Apr 2026 - 18:34

411

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Infinite series involving Von Mangoldt's function

Published on 13 Apr 2026 - 13:01

45

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$\int_{1}^{x}\frac{M(t)}{t}dt=o(x)$ implies $M(x)=o(x)$

Published on 16 Apr 2026 - 7:36

1k

Views

Lower bound for prime number function $\pi(x)$

Published on 16 Apr 2026 - 13:39

125

Views

application of Holder's inequality 3

Published on 17 Apr 2026 - 15:48

116

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Theorems in the distribution of the primes without elementary proofs

Published on 26 Mar 2026 - 23:09

247

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How to prove that below quantity is purely imaginary?

Published on 25 Mar 2026 - 15:58

198

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Little clarification on Gallagher's Larger Sieve

Published on 26 Mar 2026 - 2:53

914

Views

Proving $\sum\limits_{n=1}^{\infty } \frac{\mu (n)}n=0$ where $\mu$ is the Möbius function

Published on 27 Mar 2026 - 6:10

2.6k

Views

Proof technique for between any two real numbers is an irrational number

Published on 15 Apr 2026 - 11:28

309

Views

Density of multiplication table

Published on 14 Apr 2026 - 13:09

81

Views

Sum Involving Products of Legendre Symbols

Published on 15 Apr 2026 - 15:05

1.1k

Views

Summation with Legendre Symbol $\sum_{a=1}^{p-1}\big(\frac{a}{p}\big)a=0$

Published on 16 Apr 2026 - 7:26

71

Views

Number of Non-Trivial Solutions of $x^3+y^3+z^3+t^3=0$ $(\!\!\mod \, 5)$

Published on 16 Apr 2026 - 16:05

440

Views

Show that the congruence $x^4 - 17y^4 \equiv 2z^2 \pmod p$ has non-trivial solutions for all primes $p$

Published on 16 Apr 2026 - 4:14

List Question

$(n+1)$th prime $p_{n+1}$ less than or equal to $p_1p_2\dots p_n+1$

Infinite series involving Von Mangoldt's function

$\int_{1}^{x}\frac{M(t)}{t}dt=o(x)$ implies $M(x)=o(x)$

Lower bound for prime number function $\pi(x)$

application of Holder's inequality 3

Theorems in the distribution of the primes without elementary proofs

How to prove that below quantity is purely imaginary?

Little clarification on Gallagher's Larger Sieve

Proving $\sum\limits_{n=1}^{\infty } \frac{\mu (n)}n=0$ where $\mu$ is the Möbius function

Proof technique for between any two real numbers is an irrational number

Density of multiplication table

Sum Involving Products of Legendre Symbols

Summation with Legendre Symbol $\sum_{a=1}^{p-1}\big(\frac{a}{p}\big)a=0$

Number of Non-Trivial Solutions of $x^3+y^3+z^3+t^3=0$ $(\!\!\mod \, 5)$

Show that the congruence $x^4 - 17y^4 \equiv 2z^2 \pmod p$ has non-trivial solutions for all primes $p$

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