MATH
Login Or Sign up

List Question

15
371
Views

How to improve Chebyshev bound on the prime counting inequality?

Published on
#number-theory #prime-gaps #chebyshev-function
116
Views

Minimization of Maximum Eigenvalue Error for Richardson Extrapolation

Published on
#proof-writing #numerical-methods #problem-solving #fixed-point-iteration #chebyshev-function
37
Views

Using balanced multi-sets to estimate Chesbyschev's function $\psi(x)$

Published on
#number-theory #prime-numbers #estimation #chebyshev-function
109
Views

An inequality on a function of Chebyshev

Published on
#inequality #prime-numbers #chebyshev-function
75
Views

How to relate the two versions of Bombieri-Vinogradov theorem to one another?

Published on
#number-theory #prime-numbers #sieve-theory #chebyshev-function
79
Views

How is it proved that $\sum_{p\le x}\frac1p=\int_2^x\frac{d(\vartheta(t))}{t\log t}$?

Published on
#real-analysis #number-theory #definite-integrals #prime-numbers #chebyshev-function
465
Views

The asymptotic of the first Chebyshev function, using the Prime Number Theorem

Published on
#number-theory #prime-numbers #asymptotics #chebyshev-function
60
Views

$\sum_{p,m\geq 3}(-1)^{m(p-1)/2}e^{-p^my}\log p = O(y^{-1/3})$

Published on
#prime-numbers #analytic-number-theory #chebyshev-function #summation-by-parts
178
Views

Approximating $\vartheta(x)=\sum_{p\le x} \log(p)?$

Published on
#number-theory #prime-numbers #approximation #chebyshev-function
119
Views

Proving the first Chebyshev function $\vartheta(x)=O(x)$ using prime factorisation of ${2n \choose n}$

Published on
#number-theory #prime-numbers #analytic-number-theory #prime-factorization #chebyshev-function
141
Views

How can we prove $\sum_{p\leq x}\ln(p) < 2x$?

Published on
#number-theory #analytic-number-theory #chebyshev-function
226
Views

Establish an upper bound for $\zeta'(s)\over\zeta(s)$?

Published on
#complex-analysis #analytic-number-theory #complex-integration #upper-lower-bounds #chebyshev-function
82
Views

Correct reasoning for a finite number of twin primes next to the lcm of first N numbers?

Published on
#prime-numbers #gcd-and-lcm #twin-primes #chebyshev-function
396
Views

Is there a random variable $X$ for which $P [µx - 2σ ≤ X ≤ µx + 2σx] = 0.6$?

Published on
#probability #chebyshev-function
196
Views

Chebyshev’s $\theta_1(x) = \sum_{n \leqslant x } (x-n) \Lambda_1 (n)$

Published on
#number-theory #prime-numbers #analytic-number-theory #chebyshev-function

Trending Questions

Popular # Hahtags

geometry circles algebraic-number-theory functions real-analysis elementary-set-theory proof-verification proof-writing number-theory elementary-number-theory puzzle game-theory calculus multivariable-calculus partial-derivative complex-analysis logic set-theory second-order-logic homotopy-theory winding-number ordinary-differential-equations numerical-methods derivatives integration definite-integrals probability limits sequences-and-series algebra-precalculus

Popular Questions

Copyright © 2021 JogjaFile Inc.