Question

Why is analytic continuation practical?

score 361 · Answer 1 · 2026-03-25 22:01:46

361

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Why is analytic continuation practical?

Published on 25 Mar 2026 - 22:01

score 1k · Answer 2 · 2026-04-01 23:14:40

1k

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$\lim_\limits{x \to \infty} \frac1x \sum_\limits{n\leq x}\mu(n)=0 \iff$ Prime Number Theorem

Published on 01 Apr 2026 - 23:14

score 76 · Answer 3 · 2020-05-18 11:20:21

76

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Are there any books on rational zeta series?

Published on 18 May 2020 - 11:20

score 154 · Answer 4 · 2020-05-19 19:53:57

154

Views

How to bound $\sum_{\ell^2 + m^2 \leq y } \tau(\ell^2 + m^2)$?

Published on 19 May 2020 - 19:53

score 136 · Answer 5 · 2020-05-19 22:27:04

136

Views

Asymptotic behavior of logarithm and some univalent functions

Published on 19 May 2020 - 22:27

score 176 · Answer 6 · 2020-05-21 10:27:16

176

Views

Convergence of the difference of two sequences where their ratio converge to an irrational number with infinite index.

Published on 21 May 2020 - 10:27

score 88 · Answer 7 · 2026-04-01 07:15:40

88

Views

$\sum_{t=1}^x e^{-\frac{1}{t}} $ approximating $\log_e(\pi(e^x))\sim x$

Published on 01 Apr 2026 - 7:15

score 94 · Answer 8 · 2020-05-23 06:21:48

94

Views

What is this sum? (related to prime numbers)

Published on 23 May 2020 - 6:21

score 117 · Answer 9 · 2020-05-23 13:57:52

117

Views

Derive a bound for a general Gauss sum (from Iwaniec and Kowalski pg 199)

Published on 23 May 2020 - 13:57

score 113 · Answer 10 · 2020-05-23 19:28:29

Determine if there exists a constant $C > 0$ such that for all sufficiently large positive integers $n,$ $\sum_{i = 1}^{n} r(2020^n, i) > C n^2$

score 55 · Answer 11 · 2026-03-29 15:03:38

Prove $\int_a^b \left| \sum_{m \in \mathcal{M}}e(-mx)\right| dx\leq2(b-a+1)\int_0^{\frac{1}{2}}\left| \sum_{m \in \mathcal{M}}e(-mx)\right|dx$

score 388 · Answer 12 · 2020-05-24 07:40:02

388

Views

On a growth condition satisfied by given functional :

Published on 24 May 2020 - 7:40

score 117 · Answer 13 · 2026-03-25 13:44:36

117

Views

Why does the divisor-counting function appear in bounds for Kloosterman sums?

Published on 25 Mar 2026 - 13:44

score 282 · Answer 14 · 2026-03-25 20:35:20

282

Views

Tight bounds on the partial Möbius sum $\sum_{\substack{d|n\\d<Q}}\mu(d)$

Published on 25 Mar 2026 - 20:35

score 91 · Answer 15 · 2020-05-25 17:11:23

91

Views

Modulus of Riemann zeta function \zeta(\sigma+it) as a real function of t

Published on 25 May 2020 - 17:11

List Question

Why is analytic continuation practical?

$\lim_\limits{x \to \infty} \frac1x \sum_\limits{n\leq x}\mu(n)=0 \iff$ Prime Number Theorem

Are there any books on rational zeta series?

How to bound $\sum_{\ell^2 + m^2 \leq y } \tau(\ell^2 + m^2)$?

Asymptotic behavior of logarithm and some univalent functions

Convergence of the difference of two sequences where their ratio converge to an irrational number with infinite index.

$\sum_{t=1}^x e^{-\frac{1}{t}} $ approximating $\log_e(\pi(e^x))\sim x$

What is this sum? (related to prime numbers)

Derive a bound for a general Gauss sum (from Iwaniec and Kowalski pg 199)

Determine if there exists a constant $C > 0$ such that for all sufficiently large positive integers $n,$ $\sum_{i = 1}^{n} r(2020^n, i) > C n^2$

Prove $\int_a^b \left| \sum_{m \in \mathcal{M}}e(-mx)\right| dx\leq2(b-a+1)\int_0^{\frac{1}{2}}\left| \sum_{m \in \mathcal{M}}e(-mx)\right|dx$

On a growth condition satisfied by given functional :

Why does the divisor-counting function appear in bounds for Kloosterman sums?

Tight bounds on the partial Möbius sum $\sum_{\substack{d|n\\d<Q}}\mu(d)$

Modulus of Riemann zeta function \zeta(\sigma+it) as a real function of t

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