riemann hypothesis related issues & queries in MathXchanger

Generalized Mean Value Theorem for integrals (in $\mathbb{R}$) with $c$ in the open interval $(a,b)$.

real-analysis real-numbers riemann-integration
Updated November 12, 2018 18:20 PM

May it be dangerous to prove the Riemann conjecture?

riemann-hypothesis
Updated November 12, 2018 11:20 AM

Hypothesis testing for profitability

statistics hypothesis-testing
Updated November 11, 2018 05:20 AM

Product of integrable functions is integrable.

calculus real-analysis integration analysis riemann-integration
Updated November 10, 2018 18:20 PM

Show that Riemann integral and Lebesgue integral coincide.

measure-theory lebesgue-integral riemann-integration measurable-functions
Updated November 10, 2018 15:20 PM

(Baby Rudin) ch6 Theorem 6.11 (The Riemann-Stieltijes Integral)

real-analysis general-topology analysis riemann-integration stieltjes-integral
Updated November 10, 2018 04:20 AM

Anomaly in probability of 3 randomly-selected integers being coprime

number-theory riemann-zeta
Updated November 09, 2018 23:20 PM

Definition of "Integration"

calculus integration definite-integrals terminology riemann-integration
Updated November 09, 2018 10:20 AM

Estimation of $\frac{\Gamma'(s)}{\Gamma(s)}$

complex-analysis analytic-number-theory gamma-function riemann-zeta digamma-function
Updated November 08, 2018 16:20 PM

Test hypothesis, probability of rejecting $H_0$

statistics normal-distribution hypothesis-testing p-value
Updated November 08, 2018 11:20 AM

What is this sum equal to?

sequences-and-series convergence riemann-zeta
Updated November 08, 2018 08:20 AM

Differentiability in the complex plane and in $\Bbb R^2$.

complex-analysis multivariable-calculus derivatives cauchy-riemann-equation
Updated November 08, 2018 07:20 AM

Most powerful hypothesis test for given discrete distribution

statistics probability-distributions hypothesis-testing
Updated November 08, 2018 02:20 AM

Verifying an increasing function on a closed interval is Riemann Integrable

real-analysis integration proof-verification riemann-integration monotone-functions
Updated November 07, 2018 23:20 PM

Questions related to $f(x)$ where the Riemann Xi function $\xi(s)=s\int\limits_0^\infty f(x)\,x^{-s-1}\,dx$

number-theory prime-numbers riemann-zeta riemann-hypothesis mellin-transform
Updated November 07, 2018 19:20 PM

Show $f(x)=x\cdot 1_{\mathbb R\setminus \mathbb Q}(x)$ is a limit of Riemann-Integrable functions?

riemann-integration
Updated November 07, 2018 01:20 AM

A new proof of the Riemann Hypothesis?

proof-verification proof-writing conjectures riemann-hypothesis open-problem
Updated November 06, 2018 11:20 AM

hypothesis left-handed

statistics binomial-distribution hypothesis-testing
Updated November 05, 2018 18:20 PM

Does this disprove the Riemann hypothesis?

riemann-hypothesis
Updated November 05, 2018 15:20 PM

Kolmogorov-Smirnov test - two samples of data - dependence on the width of the bin of the histograms.

statistics hypothesis-testing
Updated November 04, 2018 22:20 PM

For what $k\in \mathbb{C}$ do we have $\lim_{x\to\infty}\frac{1}{x^{k+1}}\sum_{n=1}^x \sigma_k(n)=\frac{\zeta(k+1)}{k+1}$?

sequences-and-series asymptotics analytic-number-theory riemann-zeta divisor-sum
Updated November 04, 2018 21:20 PM

Hypothesis testing - maximum significance level

statistics normal-distribution statistical-inference hypothesis-testing
Updated November 03, 2018 18:20 PM

On the bound of an integral of a differentiable function with bounded derivative

real-analysis integration derivatives continuity riemann-integration
Updated November 03, 2018 08:20 AM

Abscissa of convergence $\sum_{n=0}^{\infty}\frac{\mu(n)}{n^s}$

complex-analysis number-theory riemann-zeta dirichlet-series
Updated November 03, 2018 05:20 AM

Riemann Integrable.

riemann-integration
Updated November 03, 2018 05:20 AM

Prove that $\underline{\int_a^b} f(x)dx=\sup_{\xi}\int_a^b \xi(x)dx$, $\xi$ a step-function.

real-analysis proof-verification riemann-integration
Updated November 03, 2018 03:20 AM

$f:\mathbb R\to\mathbb R$ differentiable, $f(0)=0$ and $f'(x)=[f(x)]^2$. Prove that $f(x)=0$ for all $x\in\mathbb R$.

real-analysis riemann-integration
Updated November 03, 2018 00:20 AM

Rational functions over $\mathbb{Z}$ yielding series that converge to a given real number

sequences-and-series riemann-zeta rational-functions
Updated November 02, 2018 21:20 PM

$\varphi$ is integrable if and only if $f=g$

real-analysis riemann-integration
Updated November 02, 2018 20:20 PM

Continuous function with 2 discontinuous points is Riemann integrable

calculus real-analysis integration analysis riemann-integration
Updated November 02, 2018 20:20 PM

$t \in \mathbb{R}$ s.t. $f(t)=\int_{0}^{+\infty}\sin(x^t) \ dx, t\in\mathbb{R}$ exists

real-analysis integration lebesgue-integral riemann-integration
Updated November 02, 2018 15:20 PM

Derivation of statistical test for equality of two regression slopes

statistics probability-distributions hypothesis-testing
Updated November 02, 2018 14:20 PM

A basis for the holomorphic differentials of a hyper-elliptic Riemann surface

differential-forms riemann-surfaces
Updated November 02, 2018 07:20 AM

Is there an integral for $\frac{1}{\zeta(3)} $?

calculus integration riemann-zeta big-list
Updated November 01, 2018 23:20 PM

Critical region for observation $X$ ~ $N(0,1)$ or $N(0,4)$

statistics normal-distribution statistical-inference hypothesis-testing
Updated November 01, 2018 22:20 PM

Riemann hypothesis for $L(s,\chi)$ and $L(s,\chi^\sigma)$

riemann-zeta modular-forms dirichlet-series riemann-hypothesis
Updated November 01, 2018 09:20 AM

Parametric/ homotopy version of Mergelyan theorem

complex-analysis algebraic-topology complex-geometry riemann-surfaces approximation-theory
Updated November 01, 2018 07:20 AM

What is the Sigma Algebra generated by Jordan measurable sets?

measure-theory lebesgue-measure riemann-integration borel-sets
Updated October 31, 2018 14:20 PM

Why this function is not Riemann integrable on $[0, 1]$

calculus integration riemann-integration
Updated October 31, 2018 14:20 PM

Under what circumstances is a characteristic function Riemann integrable?

measure-theory lebesgue-measure riemann-integration
Updated October 31, 2018 13:20 PM

On Gronwall's Theorem & Riemann hypothesis

analytic-number-theory riemann-hypothesis
Updated October 31, 2018 13:20 PM

Non-trivial Extensions of Sheaves of $\mathcal{O}$-Modules

algebraic-geometry algebraic-curves riemann-surfaces
Updated October 31, 2018 10:20 AM

What notion of convergence guarantees interchange of limits and improper Riemann integrals?

real-analysis general-topology convergence uniform-convergence riemann-integration
Updated October 31, 2018 04:20 AM

Limit of the sequence including log.

sequences-and-series limits logarithms riemann-sum
Updated October 30, 2018 19:20 PM

Show $s(f) = \int_{\_a}^b f $

real-analysis measure-theory lebesgue-measure riemann-sum
Updated October 29, 2018 13:20 PM

A question regarding two Cauchy definitions of integrability

real-analysis integration analysis riemann-integration riemann-sum
Updated October 29, 2018 08:20 AM

How to prove $L(f, P_{1}) \leq U(f, P_{2})$ under given conditions.

real-analysis integration riemann-sum
Updated October 29, 2018 07:20 AM

Is $\int _{[0,\infty)} \frac {sin^2(x)}{x^2}$ Lebesgue integrable?

real-analysis measure-theory lebesgue-integral riemann-integration
Updated October 29, 2018 02:20 AM

Is comparing real and complex values within Robin's Inequality legal? And how would we?

complex-numbers real-numbers divisor-sum riemann-hypothesis
Updated October 29, 2018 01:20 AM

Is the product of log zeta functions sub-harmonic ? (under the Riemann Hypothesis)

analytic-number-theory harmonic-analysis riemann-zeta
Updated October 29, 2018 01:20 AM

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