List questions from analytic-number-theory

51

Views

Is it $|y| = \arccos(\frac{e^{-x}}{2})$ the curve described by $h(t) = \sum_{n=1}^\infty \frac{e^{i2\pi\frac{n}{t}}}{n}$?

Published on 08 Jun 2020 - 17:41

85

Views

Odd prime divisors of $X^2+DY^2$ is again in same form

Published on 08 Jun 2020 - 21:26

64

Views

Conditions under which $\lim_{s\to1^+}\sum_{n=1}^{\infty}\frac{a_n}{n^s}=\sum_{n=1}^{\infty}\frac{a_n}{n}$

Published on 25 Mar 2026 - 22:05

73

Views

What is good reference for circle method (Analytical number theory)??

Published on 11 Jun 2020 - 9:17

172

Views

Missing flaw in finding all integers satisfying $\varphi(n)=n/2$, where $\varphi$ is the Euler totient function

Published on 27 Mar 2026 - 22:03

37

Views

Estimates for this divisor sum

Published on 12 Jun 2020 - 0:25

48

Views

approximating a geometric sum of exponentials by an integral

Published on 12 Jun 2020 - 7:53

53

Views

$ \sum_{p } \sum_{k=2}^{\infty} \frac{\log p}{p^k}$ is Convergent

Published on 12 Jun 2020 - 19:04

104

Views

An upper bound whose value is known for the series $ \displaystyle{\sum_{p \text{ prime}}}\frac{1}{p^{3/2}}$

Published on 12 Jun 2020 - 21:47

95

Views

Something related to Dedekind zeta function

Published on 13 Jun 2020 - 8:00

113

Views

To check whether $ 10^{c} \frac{N}{e} > (N!)^{\frac{1}{N}} > \frac{N}{e}$

Published on 13 Jun 2020 - 9:52

80

Views

$ \pi (N)< B \ \frac{N}{\log N }$ where $ B\leq 4.$

Published on 13 Jun 2020 - 12:08

147

Views

Why does the infinitude of primes of a certain form matter?

Published on 25 Mar 2026 - 11:15

190

Views

Complex Numbers : Why stop at 2 dimensions?

Published on 26 Mar 2026 - 10:57

45

Views

Non-asymptotic bounds for prime counting function for arithmetic progressions

Published on 14 Jun 2020 - 5:16

List Question

Is it $|y| = \arccos(\frac{e^{-x}}{2})$ the curve described by $h(t) = \sum_{n=1}^\infty \frac{e^{i2\pi\frac{n}{t}}}{n}$?

Odd prime divisors of $X^2+DY^2$ is again in same form

Conditions under which $\lim_{s\to1^+}\sum_{n=1}^{\infty}\frac{a_n}{n^s}=\sum_{n=1}^{\infty}\frac{a_n}{n}$

What is good reference for circle method (Analytical number theory)??

Missing flaw in finding all integers satisfying $\varphi(n)=n/2$, where $\varphi$ is the Euler totient function

Estimates for this divisor sum

approximating a geometric sum of exponentials by an integral

$ \sum_{p } \sum_{k=2}^{\infty} \frac{\log p}{p^k}$ is Convergent

An upper bound whose value is known for the series $ \displaystyle{\sum_{p \text{ prime}}}\frac{1}{p^{3/2}}$

Something related to Dedekind zeta function

To check whether $ 10^{c} \frac{N}{e} > (N!)^{\frac{1}{N}} > \frac{N}{e}$

$ \pi (N)< B \ \frac{N}{\log N }$ where $ B\leq 4.$

Why does the infinitude of primes of a certain form matter?

Complex Numbers : Why stop at 2 dimensions?

Non-asymptotic bounds for prime counting function for arithmetic progressions

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