List questions from analytic-number-theory

Published on 11 Apr 2026 - 23:02

359

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Prove $\int_{0}^{\infty} \psi^{(2)} (1+x) \ln (x) \, dx = \zeta'(2) + \zeta(2)$

Published on 16 Apr 2026 - 2:35

184

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Cusps of modular curves

Published on 09 Apr 2026 - 13:25

221

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Absolute convergence of the Dirichlet series corresponding to the powers of divisor function

Published on 13 Apr 2026 - 16:44

98

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Interval specified with little oh notation

Published on 12 Apr 2026 - 21:21

176

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Inequality from Analytic Number Theory

Published on 13 Apr 2026 - 6:21

423

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Euler Maclaurin Formula to prove $\zeta(0)=-\frac12$ and $\zeta(-1)=-\frac{1}{12}$

Published on 14 Apr 2026 - 6:22

360

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Simple proof for a general Brun's upper bound sieve

Published on 16 Apr 2026 - 15:42

131

Views

Can the prime counting function possibly satisfy this functional equation?

Published on 09 Apr 2026 - 5:15

123

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Ordinate of zeros of zeta Riemann function

Published on 10 Apr 2026 - 19:39

226

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Prove $\sum_{d | n} \mu(d) (\log(d))^2=0$

Published on 16 Apr 2026 - 20:48

84

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Estimation of sum of prime power product

Published on 14 Apr 2026 - 0:15

205

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Turan's proof of Hardy-Ramanujan theorem: Estimation of $\sum_{n = 1}^{N} V(n)^2$

Published on 12 Apr 2026 - 8:26

74

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Counting numbers only containing primes in given set of primes

Published on 15 Apr 2026 - 7:52

115

Views

Asymptotic bound for $\log \left(1 - \frac{\log p}{\log {x}} \right)$

Published on 17 Apr 2026 - 1:08

List Question

Notation for Legendre symbol over polynomial rings

Prove $\int_{0}^{\infty} \psi^{(2)} (1+x) \ln (x) \, dx = \zeta'(2) + \zeta(2)$

Cusps of modular curves

Absolute convergence of the Dirichlet series corresponding to the powers of divisor function

Interval specified with little oh notation

Inequality from Analytic Number Theory

Euler Maclaurin Formula to prove $\zeta(0)=-\frac12$ and $\zeta(-1)=-\frac{1}{12}$

Simple proof for a general Brun's upper bound sieve

Can the prime counting function possibly satisfy this functional equation?

Ordinate of zeros of zeta Riemann function

Prove $\sum_{d | n} \mu(d) (\log(d))^2=0$

Estimation of sum of prime power product

Turan's proof of Hardy-Ramanujan theorem: Estimation of $\sum_{n = 1}^{N} V(n)^2$

Counting numbers only containing primes in given set of primes

Asymptotic bound for $\log \left(1 - \frac{\log p}{\log {x}} \right)$

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