Related papers: On the Riemann Hypothesis

Alternative approaches to Lebesgue integration are considered.

We provide a proof of a variant of the Landau-Siegel Zeros conjecture.

We claim to resolve the P=?NP problem via a formal argument for P=NP.

The paper presents several new sufficient conditions, as well as new equivalent criteria for the classical Riemann Hypothesis. Noteworthy are also other statements and remarks about $\zeta$ to be found throughout the paper.

We provide infinitely many solutions of a Dirichlet problem on balls.

Formulas for calculating the Riesz function, introduced by Marcel Riesz in connection with the Riemann hypothesis, are derived; and the behavior of the Riesz function is discussed.

In the paper the well known Riemann Hypothesis is proven. The proof is based on uniform approximation of the zeta function discs of the critical strip placed to the right from the critical line.The basic moment is a use of a new mesure…

We consider the alternating Riemann zeta function $\zeta^*(s)= \sum^{\infty} _{ n=1} \frac{(-1)^{n-1}}{n^s}$, which converges if $Re (s)>0 .$ By using Rouche's theorem, the Bolzano-Weierstrass theorem and by method of contradiction we…

We obtain some results related to Romanoff's theorem.

A variation on the splitting principle

The Riemann Hypothesis is not proved yet and this article gives a possible proof for the hypothesis which confirms that the only possible nontrivial zeros of the Riemann zeta-function has its real value equal to 1/2. From the result, the…

We improve constants in the Rademacher-Menchov inequality.

We solve problem 11585 proposed by B. Burdick, AMM June-July 2011 {\bf 118} (6), p. 558 for the sum of certain products of Riemann zeta function values. We further point out an alternating sum analog, and then present and prove different…

We prove some new results related to Tanaka's formula.

In this paper we provide an application to the Neumann problem of a recent three critical points theorem.

We give a new equivalent condition for the Riemann hypothesis consisting in an order condition for certain finite rational combinations of the values of the Riemann zeta-function at even positive integers.

In this note, we give a simple proof that the Riemann Hypothesis is unprovable in any reasonable axiom system.

The paper deals with locally bounded solutions of a Schilling's problem.

In this paper we give a new proof of Riemann's well known mapping theorem. The suggested method permits to prove an analog of that theorem for the three dimensional case.

A proof of the Riemann hypothesis using the reflection principle is presented.