List questions from analytic-number-theory

Published on 11 May 2026 - 0:36

105

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Asymptotic's for Fourier coefficients of $GL(3)$ Maass forms

Published on 03 May 2026 - 23:41

97

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Approximation of $\zeta$(s) at $s=1$

Published on 14 Apr 2026 - 4:31

315

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Proof Verification: Let $f(\chi)$ be the conductor of $\chi$, proof that $f(\chi)=f(\chi_1)\cdots f(\chi_r)$.

Published on 10 May 2026 - 17:39

146

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Prove that $\left|\sum\limits_{m=N+1}^M\frac{\chi(m)}{m}\right|< \frac{2}{N+1}\sqrt{k}\log k$.

Published on 10 May 2026 - 20:53

46

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Don't know what to do with little-oh!

Published on 12 Apr 2026 - 12:27

402

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Understanding the Hurwitz-Kronecker Class Number Formula

Published on 09 Apr 2026 - 2:28

184

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Almost a prime number recurrence relation

Published on 11 May 2026 - 6:12

264

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Show that $\sum_{pq\leq x}\frac{1}{pq}$ = $(\ln \ln x)^2+O(\ln \ln x)$

Published on 17 Apr 2026 - 14:48

77

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Let $P=\{1,2,\cdots,p-1\}$, $P=S\cup T$, prove that $S$ is quadratic residues and $T$ is quadratic nonresidues.

Published on 16 Apr 2026 - 13:33

71

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Solving $\int_0^x\int_u^{u+1}\frac1{\ln t}\,dt\,du=0$ (an extension to the Ramanujan-Soldner constant)

Published on 16 Apr 2026 - 10:37

55

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The sum $\sum_{r=1}^{p-1} r(r|p)$ when $p$ is an odd prime of the form $4k+3$, $k\geq 1$.

Published on 10 May 2026 - 16:13

63

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Equidistributed sequences satisfying the central limit theorem

Published on 12 Apr 2026 - 21:10

47

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Bounding sum (log factor)

Published on 14 Apr 2026 - 17:00

403

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Asymptotic for the gamma function on vertical lines

Published on 10 Apr 2026 - 18:25

List Question

Statement Equivalent to the Riemann Hypothesis

Asymptotic's for Fourier coefficients of $GL(3)$ Maass forms

Approximation of $\zeta$(s) at $s=1$

Proof Verification: Let $f(\chi)$ be the conductor of $\chi$, proof that $f(\chi)=f(\chi_1)\cdots f(\chi_r)$.

Prove that $\left|\sum\limits_{m=N+1}^M\frac{\chi(m)}{m}\right|< \frac{2}{N+1}\sqrt{k}\log k$.

Don't know what to do with little-oh!

Understanding the Hurwitz-Kronecker Class Number Formula

Almost a prime number recurrence relation

Show that $\sum_{pq\leq x}\frac{1}{pq}$ = $(\ln \ln x)^2+O(\ln \ln x)$

Let $P=\{1,2,\cdots,p-1\}$, $P=S\cup T$, prove that $S$ is quadratic residues and $T$ is quadratic nonresidues.

Solving $\int_0^x\int_u^{u+1}\frac1{\ln t}\,dt\,du=0$ (an extension to the Ramanujan-Soldner constant)

The sum $\sum_{r=1}^{p-1} r(r|p)$ when $p$ is an odd prime of the form $4k+3$, $k\geq 1$.

Equidistributed sequences satisfying the central limit theorem

Bounding sum (log factor)

Asymptotic for the gamma function on vertical lines

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