Question

Where does $\frac{3}{2}$ in $1<s\cdot\zeta(s+1) < \frac{3}{2}$ come from?

score 87 · Answer 1 · 2026-04-15 22:52:55

87

Views

Where does $\frac{3}{2}$ in $1<s\cdot\zeta(s+1) < \frac{3}{2}$ come from?

Published on 15 Apr 2026 - 22:52

score 102 · Answer 2 · 2026-04-17 00:59:02

102

Views

Why is Euler product destroyed?

Published on 17 Apr 2026 - 0:59

score 120 · Answer 3 · 2026-04-15 14:46:51

120

Views

Why is Euler's statement $\exp{(A + \frac{1}{2}B + \frac{1}{3}C+ \ldots)} = 1 + \frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \dots$ true?

Published on 15 Apr 2026 - 14:46

score 175 · Answer 4 · 2026-04-14 09:31:50

175

Views

validity of proof $\pi$ is irrational from Euler's product formula

Published on 14 Apr 2026 - 9:31

score 62 · Answer 5 · 2026-04-17 12:39:19

62

Views

Using Viete's Product show that $\frac{3}{\pi}= \frac{\sqrt{2+\sqrt{3}}}{2} * \frac{\sqrt{2+\sqrt{2+\sqrt{3}}}}{2} * ...$

Published on 17 Apr 2026 - 12:39

score 97 · Answer 6 · 2026-04-13 13:06:37

97

Views

Does this sum of two Euler products converge for $s=1$?

Published on 13 Apr 2026 - 13:06

score 136 · Answer 7 · 2026-04-16 08:43:02

136

Views

Validity of taking log of divergent sums in proof $\sum 1/p \rightarrow \infty$

Published on 16 Apr 2026 - 8:43

score 193 · Answer 8 · 2026-04-16 01:10:19

193

Views

A prime numbers property: $4/\pi=e^{1/2}\Big(1+e^{1/3}\big(1+e^{1/5}(\dots)\big)\Big)/p_n, \ \ n\to\infty$

Published on 16 Apr 2026 - 1:10

score 231 · Answer 9 · 2026-04-15 18:10:22

231

Views

Validity of proof $\zeta(s) \neq 0$ for $\sigma\gt1$, where $\sigma$ is the real part of $s$

Published on 15 Apr 2026 - 18:10

score 88 · Answer 10 · 2026-04-14 22:01:04

88

Views

Trying to prove that $\varphi(s)$ is related to prime numbers

Published on 14 Apr 2026 - 22:01

score 40 · Answer 11 · 2026-04-14 03:41:16

40

Views

A way of splitting Euler products

Published on 14 Apr 2026 - 3:41

score 145 · Answer 12 · 2026-04-11 16:10:10

145

Views

Are there extensions of Euler's infinite product for sine function?

Published on 11 Apr 2026 - 16:10

score 62 · Answer 13 · 2026-04-07 19:39:24

62

Views

A variant of the Euler product formula?

Published on 07 Apr 2026 - 19:39

score 126 · Answer 14 · 2026-04-15 22:14:13

126

Views

How to prove that $\sqrt{3}\pi/6=\prod_{p \equiv 1 \pmod{6}} \frac{p}{p-1}\prod_{p \equiv 5 \pmod{6}} \frac{p}{p+1}$ with $p \in \mathbb{P}$?

Published on 15 Apr 2026 - 22:14

score 81 · Answer 15 · 2026-04-12 10:27:11

81

Views

Does the Euler product for the Rankin-Selberg convolution of two eigenforms require the Ramanujan conjecture?

Published on 12 Apr 2026 - 10:27

List Question

Where does $\frac{3}{2}$ in $1<s\cdot\zeta(s+1) < \frac{3}{2}$ come from?

Why is Euler product destroyed?

Why is Euler's statement $\exp{(A + \frac{1}{2}B + \frac{1}{3}C+ \ldots)} = 1 + \frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \dots$ true?

validity of proof $\pi$ is irrational from Euler's product formula

Using Viete's Product show that $\frac{3}{\pi}= \frac{\sqrt{2+\sqrt{3}}}{2} * \frac{\sqrt{2+\sqrt{2+\sqrt{3}}}}{2} * ...$

Does this sum of two Euler products converge for $s=1$?

Validity of taking log of divergent sums in proof $\sum 1/p \rightarrow \infty$

A prime numbers property: $4/\pi=e^{1/2}\Big(1+e^{1/3}\big(1+e^{1/5}(\dots)\big)\Big)/p_n, \ \ n\to\infty$

Validity of proof $\zeta(s) \neq 0$ for $\sigma\gt1$, where $\sigma$ is the real part of $s$

Trying to prove that $\varphi(s)$ is related to prime numbers

A way of splitting Euler products

Are there extensions of Euler's infinite product for sine function?

A variant of the Euler product formula?

How to prove that $\sqrt{3}\pi/6=\prod_{p \equiv 1 \pmod{6}} \frac{p}{p-1}\prod_{p \equiv 5 \pmod{6}} \frac{p}{p+1}$ with $p \in \mathbb{P}$?

Does the Euler product for the Rankin-Selberg convolution of two eigenforms require the Ramanujan conjecture?

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