List questions from analytic-number-theory

Published on 26 Mar 2026 - 7:58

22

Views

Uniform convergence of $\sum\delta_n(s)$ using $|\delta_n(s)|\leq |s|/n^{\sigma+1}$

Published on 27 Feb 2023 - 6:16

57

Views

Why does $a(p^k)\mapsto\frac1ka(p^k)$ send $\sum_n a(n)$ to $\ln\left(\sum_n a(n)\right)$

Published on 27 Feb 2023 - 14:00

184

Views

Stronger result than bertrand's postulate

Published on 23 Feb 2026 - 8:36

84

Views

What’s the best bound on the Dirichlet coefficients of $\zeta(s-1)^2/\zeta(s)$

Published on 26 Mar 2026 - 2:57

48

Views

modified riemann zeta function $\zeta ^*(s)$?

Published on 29 Mar 2026 - 6:55

152

Views

Meromorphic continuation of $\zeta(s)$ to ${\rm Re}(s)>0$.

Published on 25 Mar 2026 - 15:41

116

Views

What is the limiting mean value of the product of the exponents in the prime factorization of numbers?

Published on 08 Mar 2023 - 13:10

76

Views

Evaluation of nontrivial zeros of $\zeta$ in explicit formulae

Published on 02 Apr 2026 - 20:23

94

Views

Lower bound for divisor counting function

Published on 29 Mar 2026 - 8:13

79

Views

How to make an estimate for this integral?

Published on 10 Mar 2023 - 12:12

31

Views

Show that a peiodic series of primes modulo 5 converges

Published on 12 Mar 2023 - 3:39

38

Views

How we can show $\Lambda (s,\chi) < \exp(C|s| \log |s|)$ as $|s| \rightarrow \infty$?

Published on 15 Mar 2023 - 14:31

105

Views

Analytic Number Theory - distribution of $x^2$ vs. the distribution of $x^2 - 2y^2$

Published on 30 Mar 2026 - 11:58

87

Views

What is the probability that the greatest prime factor of a sequence of uniformly distributed integers increases?

Published on 17 Mar 2023 - 11:30

List Question

Analytic continuation of Bessel series

Uniform convergence of $\sum\delta_n(s)$ using $|\delta_n(s)|\leq |s|/n^{\sigma+1}$

Why does $a(p^k)\mapsto\frac1ka(p^k)$ send $\sum_n a(n)$ to $\ln\left(\sum_n a(n)\right)$

Stronger result than bertrand's postulate

What’s the best bound on the Dirichlet coefficients of $\zeta(s-1)^2/\zeta(s)$

modified riemann zeta function $\zeta ^*(s)$?

Meromorphic continuation of $\zeta(s)$ to ${\rm Re}(s)>0$.

What is the limiting mean value of the product of the exponents in the prime factorization of numbers?

Evaluation of nontrivial zeros of $\zeta$ in explicit formulae

Lower bound for divisor counting function

How to make an estimate for this integral?

Show that a peiodic series of primes modulo 5 converges

How we can show $\Lambda (s,\chi) < \exp(C|s| \log |s|)$ as $|s| \rightarrow \infty$?

Analytic Number Theory - distribution of $x^2$ vs. the distribution of $x^2 - 2y^2$

What is the probability that the greatest prime factor of a sequence of uniformly distributed integers increases?

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