Question

On the Möbius function and the difference $(p_{n+1})^{1/2}-(p_{n})^{1/2}$, being $p_n$ the $nth$ prime number: a conjecture

score 118 · Answer 1 · 2026-03-26 16:56:46

118

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On the Möbius function and the difference $(p_{n+1})^{1/2}-(p_{n})^{1/2}$, being $p_n$ the $nth$ prime number: a conjecture

Published on 26 Mar 2026 - 16:56

score 74 · Answer 2 · 2026-04-14 06:01:18

74

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On definite integrals $\int_0^n \sum_{k=2}^\infty (-1)^k \frac{x^{k-1}}{\zeta(k)} dx$, where $\zeta(y)$ is the Riemann zeta function

Published on 14 Apr 2026 - 6:01

score 106 · Answer 3 · 2026-04-16 07:22:08

106

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A draft to know how much difficult is to calculate the asymptotic $\int_1^x \frac{\sum_{n\leq t}G_n}{t^2}dt$, where $G_n$ are the Gregory coefficients

Published on 16 Apr 2026 - 7:22

score 50 · Answer 4 · 2026-03-25 23:35:55

50

Views

Estimating an error term when counting primes

Published on 25 Mar 2026 - 23:35

score 42 · Answer 5 · 2026-04-16 13:43:15

How can i prove that $P_{m}(x) + P_{2m}(y) + P_{3m}(z)$ is almost universal, i.e, it represents every natural number? ( $P_{m}$ is a m-gonal number)

score 120 · Answer 6 · 2026-04-08 19:32:51

120

Views

References for trascendental number theory

Published on 08 Apr 2026 - 19:32

score 134 · Answer 7 · 2026-03-25 13:45:55

134

Views

The quality of specific triples based on the first $2n$ prime numbers

Published on 25 Mar 2026 - 13:45

score 200 · Answer 8 · 2026-04-13 10:23:35

200

Views

Another conjecture on sum $A+B=C$

Published on 13 Apr 2026 - 10:23

score 92 · Answer 9 · 2026-04-16 07:31:33

92

Views

The non-trivial zeros of $L(s, \chi)$ are symmetrically placed with respect to the critical line

Published on 16 Apr 2026 - 7:31

score 137 · Answer 10 · 2026-04-13 18:00:15

137

Views

On an inequality for a sequence involving twin primes, on assumption of the Twin Prime conjecture

Published on 13 Apr 2026 - 18:00

score 65 · Answer 11 · 2026-04-12 23:26:40

65

Views

Effective Estimates for Generalized Merten's Theorem

Published on 12 Apr 2026 - 23:26

score 45 · Answer 12 · 2026-03-26 20:41:51

45

Views

Prove that the set $\{f\in \mathfrak G|f(p)=w\}$(where $w$ is a $r$th root of unity) is a coset of the subgroup $\{f\in \mathfrak G|f(p)=1\}$.

Published on 26 Mar 2026 - 20:41

score 172 · Answer 13 · 2026-03-28 03:26:05

172

Views

Cancellations in partial sum of Ramanujan tau function

Published on 28 Mar 2026 - 3:26

score 64 · Answer 14 · 2026-04-09 05:12:58

64

Views

Bounds on some integral involving the Sawtooth function

Published on 09 Apr 2026 - 5:12

score 103 · Answer 15 · 2026-04-13 22:44:08

103

Views

Where does the derivation on the graded algebra of modular forms come from?

Published on 13 Apr 2026 - 22:44

List Question

On the Möbius function and the difference $(p_{n+1})^{1/2}-(p_{n})^{1/2}$, being $p_n$ the $nth$ prime number: a conjecture

On definite integrals $\int_0^n \sum_{k=2}^\infty (-1)^k \frac{x^{k-1}}{\zeta(k)} dx$, where $\zeta(y)$ is the Riemann zeta function

A draft to know how much difficult is to calculate the asymptotic $\int_1^x \frac{\sum_{n\leq t}G_n}{t^2}dt$, where $G_n$ are the Gregory coefficients

Estimating an error term when counting primes

How can i prove that $P_{m}(x) + P_{2m}(y) + P_{3m}(z)$ is almost universal, i.e, it represents every natural number? ( $P_{m}$ is a m-gonal number)

References for trascendental number theory

The quality of specific triples based on the first $2n$ prime numbers

Another conjecture on sum $A+B=C$

The non-trivial zeros of $L(s, \chi)$ are symmetrically placed with respect to the critical line

On an inequality for a sequence involving twin primes, on assumption of the Twin Prime conjecture

Effective Estimates for Generalized Merten's Theorem

Prove that the set $\{f\in \mathfrak G|f(p)=w\}$(where $w$ is a $r$th root of unity) is a coset of the subgroup $\{f\in \mathfrak G|f(p)=1\}$.

Cancellations in partial sum of Ramanujan tau function

Bounds on some integral involving the Sawtooth function

Where does the derivation on the graded algebra of modular forms come from?

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