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A question about Lemma 15.1 (Landau’s theorem for integrals) in Montgomery-Vaughan’s book

score 67 · Answer 1 · 2026-03-26 06:06:51

67

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A question about Lemma 15.1 (Landau’s theorem for integrals) in Montgomery-Vaughan’s book

Published on 26 Mar 2026 - 6:06

score 94 · Answer 2 · 2026-03-25 19:05:14

94

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Does the theory of theta functions ever go beyond just random caulculations and ugly formulas?

Published on 25 Mar 2026 - 19:05

score 46 · Answer 3 · 2024-02-02 06:52:14

46

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Sum over primes in a paper of Selberg

Published on 02 Feb 2024 - 6:52

score 58 · Answer 4 · 2026-03-31 12:56:31

58

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Understanding Theorem 5.5. of Titchmarsh's Book

Published on 31 Mar 2026 - 12:56

score 87 · Answer 5 · 2024-02-07 11:34:42

87

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$\sum_{n \leq x} \frac{\theta(n)}{n^2} = \ln x + O(1)$ without the prime number theroem

Published on 07 Feb 2024 - 11:34

score 41 · Answer 6 · 2026-03-31 13:02:08

41

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How to show that $O(\sum_1^{\infty} n^{1-{2\sigma}} e^{-\delta n} \sum_1^{n/2} 1/r )=O({\delta}^{2 \sigma -2} \log \dfrac{1}{\delta})$?

Published on 31 Mar 2026 - 13:02

score 58 · Answer 7 · 2026-03-28 02:24:26

58

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If $\sqrt{5}<k(\alpha)<29 / 10$, show that there exists $N \in \mathbb{N}$ such that $a_n=2$ for all $n > N$, and conclude that $k(\alpha)=2 \sqrt{2}$

Published on 28 Mar 2026 - 2:24

score 56 · Answer 8 · 2024-02-11 21:44:03

56

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Question about the distribution of primes in Davenport's Multiplicative Number Theory

Published on 11 Feb 2024 - 21:44

score 43 · Answer 9 · 2024-02-13 06:28:20

43

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On the remainder term in selberg's proof of prime number theorem

Published on 13 Feb 2024 - 6:28

score 147 · Answer 10 · 2026-03-25 18:24:35

147

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Probability that one random number among many has a unique prime factor

Published on 25 Mar 2026 - 18:24

score 66 · Answer 11 · 2026-03-26 01:00:09

66

Views

Dirichlet series and Euler product

Published on 26 Mar 2026 - 1:00

score 113 · Answer 12 · 2026-03-27 12:14:14

113

Views

Visual proof of $\sum_{n=2}^{\infty} \left( \zeta(n)-1 \right) = 1 $

Published on 27 Mar 2026 - 12:14

score 45 · Answer 13 · 2024-02-19 12:44:15

45

Views

A Question on the Bound of a Characteristic Function

Published on 19 Feb 2024 - 12:44

score 99 · Answer 14 · 2026-03-29 15:16:47

99

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Proper Way to Calculate Value of Riemann Zeta function?

Published on 29 Mar 2026 - 15:16

score 40 · Answer 15 · 2026-03-26 09:40:31

40

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Two slightly different polynomial expansions for $\Xi(0)$. Could a connection between these two be derived?

Published on 26 Mar 2026 - 9:40

List Question

A question about Lemma 15.1 (Landau’s theorem for integrals) in Montgomery-Vaughan’s book

Does the theory of theta functions ever go beyond just random caulculations and ugly formulas?

Sum over primes in a paper of Selberg

Understanding Theorem 5.5. of Titchmarsh's Book

$\sum_{n \leq x} \frac{\theta(n)}{n^2} = \ln x + O(1)$ without the prime number theroem

How to show that $O(\sum_1^{\infty} n^{1-{2\sigma}} e^{-\delta n} \sum_1^{n/2} 1/r )=O({\delta}^{2 \sigma -2} \log \dfrac{1}{\delta})$?

If $\sqrt{5}<k(\alpha)<29 / 10$, show that there exists $N \in \mathbb{N}$ such that $a_n=2$ for all $n > N$, and conclude that $k(\alpha)=2 \sqrt{2}$

Question about the distribution of primes in Davenport's Multiplicative Number Theory

On the remainder term in selberg's proof of prime number theorem

Probability that one random number among many has a unique prime factor

Dirichlet series and Euler product

Visual proof of $\sum_{n=2}^{\infty} \left( \zeta(n)-1 \right) = 1 $

A Question on the Bound of a Characteristic Function

Proper Way to Calculate Value of Riemann Zeta function?

Two slightly different polynomial expansions for $\Xi(0)$. Could a connection between these two be derived?

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