List questions from analytic-number-theory

25

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Does there exist a family of functions $(g_i)$ such that $\int_A g_i(x)g_j(x)dx=0 \Leftrightarrow i\nmid j \land j\nmid i$

Published on 19 Oct 2018 - 20:49

45

Views

Estimation of conditionally convergent series

Published on 30 Mar 2026 - 2:05

50

Views

Asymptotic growth of $\int_{-2c}^0\frac{\exp(-x^2)}{x+c}dx$

Published on 28 Mar 2026 - 8:50

43

Views

Abel summation in function fields

Published on 24 Oct 2018 - 17:00

35

Views

Analytic Number Theory Notation dillemma

Published on 25 Oct 2018 - 1:49

489

Views

Proof of $ \zeta(s)=\frac{1}{s-1}+\gamma+O(s-1)$

Published on 25 Mar 2026 - 1:20

1.4k

Views

Gamma Function Holomorphic

Published on 26 Mar 2026 - 9:45

666

Views

The derivative of the Gamma function

Published on 26 Mar 2026 - 9:38

92

Views

The derivative of the Gamma function, once more

Published on 26 Mar 2026 - 9:40

83

Views

Cubic of a Gauss sum

Published on 29 Oct 2018 - 22:52

28

Views

Positions of coinciding bits

Published on 30 Oct 2018 - 7:01

240

Views

Is Riemann's R-function $R(x)$ differentiable?

Published on 28 Mar 2026 - 8:08

438

Views

Asymptotics and bounds of $k$-divisor function $d_k(n)$

Published on 25 Mar 2026 - 6:19

50

Views

Square-free numbers congruent to $1$ modulo $p$ (asymptotic formula)

Published on 25 Mar 2026 - 6:03

83

Views

Let $x(n)=$ product of first $n$ primes.How often is $x(n)$ triangular?

Published on 24 Mar 2026 - 23:45

List Question

Does there exist a family of functions $(g_i)$ such that $\int_A g_i(x)g_j(x)dx=0 \Leftrightarrow i\nmid j \land j\nmid i$

Estimation of conditionally convergent series

Asymptotic growth of $\int_{-2c}^0\frac{\exp(-x^2)}{x+c}dx$

Abel summation in function fields

Analytic Number Theory Notation dillemma

Proof of $ \zeta(s)=\frac{1}{s-1}+\gamma+O(s-1)$

Gamma Function Holomorphic

The derivative of the Gamma function

The derivative of the Gamma function, once more

Cubic of a Gauss sum

Positions of coinciding bits

Is Riemann's R-function $R(x)$ differentiable?

Asymptotics and bounds of $k$-divisor function $d_k(n)$

Square-free numbers congruent to $1$ modulo $p$ (asymptotic formula)

Let $x(n)=$ product of first $n$ primes.How often is $x(n)$ triangular?

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