Related papers: On the Riemann Hypothesis

In this paper we use a dynamical approach to prove some new divergence theorems on complete non-compact Riemannian manifolds.

Particular solutions of the Benney equations are constructed. Their properties are discussed.

In this paper we provide a proof of the Riemann Hypothesis by relating the non-trivial zeros of the zeta function to a certain Sturm-Liouville eigenvalue problem on a finite interval.

By using the method in [5], the aim of the present note is to generalize the Riemann integral in probability introduced in [7], to Kurzweil-Henstock integral in probability. Properties of the new integral are proved.

We present a simple proof of the Riemann's Hypothesis (RH) where only undergraduate mathematics is needed.

The Riemann hypothesis (RH) is well known. In this paper we would show some sufficient conditions for the RH. The first condition is related with the sum of divisors function and another one is related with the Chebyshev's function.

In this paper, we will solve the Reifenberg Plateau Problem in Hilbert space.

A new parametric integral is obtained as a consequence of the Riemann hypothesis. An asymptotic multiplicability is the main property of this integral.

We prove Burkholder inequality using Bregman divergence.

A GGC (Generalized Gamma Convolution) representation of Riemann's Xi-function is constructed.

We present lifted linear relaxations of the OPF problem.

We establish new sufficient conditions for the existence of classical hyperbolic quasiperiodic solutions for natural Lagrangian system on Riemannian manifold with time-quasiperiodic force function

Riemann's hypothesis, formulated in 1859, concerns the location of the zeros of Riemann's Zeta function. The history of the Riemann hypothesis is well known. In 1859, the German mathematician B. Riemann presented a paper to the Berlin…

We prove the Riemann Hypothesis via an analytically regulated surface integral over the critical strip of the Riemann zeta function. The key idea is that the convergence of this normalized integral is equivalent to the condition that all…

We prove a variation of Gronwall's lemma.

We present several results, including some remarks on the Hopf Lemma.

An observation on Hall-Littlewood polynomials.

We exhibit a family of linear operators related to the almost-periodic approach for the generalized Riemann hypothesis.

We establish that the initial value problem for a generalised Burgers equation considered in part I of this paper, is well-posed. We also establish several qualitative properties of solutions to the initial value problem utilised in part I…

This paper is a continuation of our earlier work "[T. Jin, Y.Y. Li and J. Xiong, On a fractional Nirenberg problem, part I: blow up analysis and compactness of solutions, to appear in J. Eur. Math. Soc.]", where compactness results were…