Three expressions of the $n$-th prime number: discrete sieving, spectral analysis and probabilistic dynamics
Fuente:
arXiv
Saved in:
| Main Author: | Pain, Jean-Christophe |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
An Ahmed-like integral
by: Pain, Jean-Christophe
Published: (2026)
by: Pain, Jean-Christophe
Published: (2026)
Two integral representations for the logarithm of the Glaisher-Kinkelin constant
by: Pain, Jean-Christophe
Published: (2024)
by: Pain, Jean-Christophe
Published: (2024)
From the Schaar and Lösch-Schoblick integrals to representations of the Glaisher-Kinkelin constant
by: Pain, Jean-Christophe
Published: (2025)
by: Pain, Jean-Christophe
Published: (2025)
Representations of the Glaisher-Kinkelin constant deduced from integrals due to Féaux and Kummer
by: Pain, Jean-Christophe
Published: (2024)
by: Pain, Jean-Christophe
Published: (2024)
Expression of the Holtsmark function in terms of hypergeometric $_2F_2$ and Airy $\mathrm{Bi}$ functions
by: Pain, Jean-Christophe
Published: (2020)
by: Pain, Jean-Christophe
Published: (2020)
An expression of harmonic numbers using Mneimneh's binomial sum and the Pascal inversion formula
by: Pain, Jean Christophe
Published: (2025)
by: Pain, Jean Christophe
Published: (2025)
Algorithm, probability, and prime numbers
by: Nishii, Yasuo
Published: (2014)
by: Nishii, Yasuo
Published: (2014)
Conjecture: the set of prime numbers is supernatural
by: Mayeux, Arnaud
Published: (2024)
by: Mayeux, Arnaud
Published: (2024)
Remark on a determinant involving prime numbers
by: Xiao, Huan
Published: (2025)
by: Xiao, Huan
Published: (2025)
A prime number "Game of Life": can floor($y \cdot p\#$) be prime for all $p$>=2?
by: Raab, Martin
Published: (2024)
by: Raab, Martin
Published: (2024)
Infinite matrix of odd natural numbers. A bit about Sophie Germain prime numbers
by: Eremin, Gennady
Published: (2025)
by: Eremin, Gennady
Published: (2025)
Dependencies of prime numbers in a tuple
by: Volfson, Victor
Published: (2026)
by: Volfson, Victor
Published: (2026)
Generalization of the Hardy-Littlewood conjecture to almost-prime number tuples
by: Volfson, Victor
Published: (2026)
by: Volfson, Victor
Published: (2026)
Explicit constructions of mutually unbiased bases via Hadamard matrices
by: Pain, Jean-Christophe
Published: (2026)
by: Pain, Jean-Christophe
Published: (2026)
Sister Celine's polynomials in the quantum theory of angular momentum
by: Pain, Jean-Christophe
Published: (2024)
by: Pain, Jean-Christophe
Published: (2024)
Clebsch-Gordan coefficients, hypergeometric functions and the binomial distribution
by: Pain, Jean-Christophe
Published: (2024)
by: Pain, Jean-Christophe
Published: (2024)
Improving the error term in the sieve of Eratosthenes
by: Diouf, Madieyna
Published: (2023)
by: Diouf, Madieyna
Published: (2023)
Holder continuity of an alternating Erdos series on prime K-tuples
by: Mantzakouras, Nikos
Published: (2025)
by: Mantzakouras, Nikos
Published: (2025)
Expression of special stretched $9j$ coefficients in terms of $_5F_4$ hypergeometric series
by: Pain, Jean-Christophe
Published: (2025)
by: Pain, Jean-Christophe
Published: (2025)
On Hilbert's 8th Problem
by: Polson, Nicholas G.
Published: (2017)
by: Polson, Nicholas G.
Published: (2017)
Continued fractions, determinant expressions, and identities
by: Kalinin, Nikita, et al.
Published: (2026)
by: Kalinin, Nikita, et al.
Published: (2026)
A closed-form expression for $ζ(3)$
by: Kyrion, Tobias
Published: (2020)
by: Kyrion, Tobias
Published: (2020)
The solutions of the 3rd and 4th Clay Millennium problems
by: Kyritsis, Konstantinos E.
Published: (2019)
by: Kyritsis, Konstantinos E.
Published: (2019)
Analytical continuation of Euler prime product for $\Re(s)>\tfrac{1}{2}$ assuming (RH)
by: Kawalec, Artur
Published: (2026)
by: Kawalec, Artur
Published: (2026)
Counting the Collatz numbers
by: Liu, Chunlei
Published: (2025)
by: Liu, Chunlei
Published: (2025)
A Closed-Form Symbolic Generator: $A^n + B^n = C^n + D^n$, for $n = 2,3$
by: Agbanwa, Jamal
Published: (2025)
by: Agbanwa, Jamal
Published: (2025)
Every sufficiently large odd integer is a sum of two positive perfect squares and a prime
by: Abrego, Ricardo Adonis Caraccioli
Published: (2025)
by: Abrego, Ricardo Adonis Caraccioli
Published: (2025)
From BCZ map to a discretized analog of the RH
by: Li, Yiming
Published: (2024)
by: Li, Yiming
Published: (2024)
The problem of finding three numbers such that the sum or difference of any two of them is a square number
by: Tomita, Seiji
Published: (2025)
by: Tomita, Seiji
Published: (2025)
All the information in the integers is in the primes
by: Rocke, Aidan
Published: (2021)
by: Rocke, Aidan
Published: (2021)
Properties of f correlated fuzzy numbers
by: da Silva, Diogo Sampaio, et al.
Published: (2024)
by: da Silva, Diogo Sampaio, et al.
Published: (2024)
Some interesting number theory problems
by: Zhang, Wenpeng
Published: (2025)
by: Zhang, Wenpeng
Published: (2025)
A symmetry approach to number tricks
by: Kolderup, Håkon
Published: (2025)
by: Kolderup, Håkon
Published: (2025)
Asymptotic equivalents of partial sums of the reciprocals of prime numbers via the von Mangoldt function
by: Pain, Jean-Christophe
Published: (2025)
by: Pain, Jean-Christophe
Published: (2025)
On the diophantine equation $X^6-Y^6 = W^n-Z^n, n=2,3,4$
by: Tomita, Seiji
Published: (2024)
by: Tomita, Seiji
Published: (2024)
Fibonacci numbers along residue classes and convolutions
by: Prodinger, Helmut
Published: (2026)
by: Prodinger, Helmut
Published: (2026)
Stringent bounds for the non-zero Bernoulli numbers
by: Bagul, Yogesh J.
Published: (2023)
by: Bagul, Yogesh J.
Published: (2023)
Structure and Zero Asymptotics of Differential Operators Associated with $Ξ_n$ and $Λ_n$
by: Waffo, Luc Ramsès Talla
Published: (2026)
by: Waffo, Luc Ramsès Talla
Published: (2026)
Right edge rates of the zeros of $\widetildeΞ_n$ and $\widetildeΛ_n$
by: Waffo, Luc Ramsès Talla
Published: (2026)
by: Waffo, Luc Ramsès Talla
Published: (2026)
Generalized inequalities for ratio functions of trigonometric and hyperbolic functions
by: Kostić, Marko, et al.
Published: (2019)
by: Kostić, Marko, et al.
Published: (2019)
Similar Items
-
An Ahmed-like integral
by: Pain, Jean-Christophe
Published: (2026) -
Two integral representations for the logarithm of the Glaisher-Kinkelin constant
by: Pain, Jean-Christophe
Published: (2024) -
From the Schaar and Lösch-Schoblick integrals to representations of the Glaisher-Kinkelin constant
by: Pain, Jean-Christophe
Published: (2025) -
Representations of the Glaisher-Kinkelin constant deduced from integrals due to Féaux and Kummer
by: Pain, Jean-Christophe
Published: (2024) -
Expression of the Holtsmark function in terms of hypergeometric $_2F_2$ and Airy $\mathrm{Bi}$ functions
by: Pain, Jean-Christophe
Published: (2020)