Related papers: On the Landau-Siegel Zeros Conjecture
We prove that the construction of our previous paper math.QA/0103190 yields an invariant of tangle cobordisms.
In the paper we complete a case by case proof of Reeder's Conjecture started in our previous work, proving the conjecture for simple Lie algebras of type $D$ and for the exceptional cases.
In this note, we provide a short proof of Feige's conjecture for identically distributed random variables.
In this paper, we derive a more precise version of the Strong Pair Correlation Conjecture on the zeros of the Riemann zeta function under Riemann Hypothesis and Twin Prime Conjecture.
We prove an extension of the Landau-Gonek formula. As an application we recover unconditionally some of the consequences of a pair correlation estimate that previously was known under the Riemann hypothesis. As one corollary we prove that…
A proof is given of Rosenthal's \(\ell_1\) theorem.
An technically interesting proof of a known theorem.
We give a new proof of Lucas' Theorem in elementary number theory.
In this paper we prove the WALA conjecture.
We give an explicit formula proving Xu's Conjecture on alternating double zeta values. We also discuss the limitations of Glanois' motivic Galois descent criterion in this case, as it cannot specify the depth of the descent.
An equivalent but useful version on the Homological Nerve Theorem is proved.
In this paper we study a particular class of polynomials. We study the distribution of their zeros, including the zeros of their derivatives as well as the interaction between this two. We prove a weak variant of the sendov conjecture in…
We give counterexamples to Okounkov's log-concavity conjecture for Littlewood-Richardson coefficients.
We prove new results, related to the Littlewood and Mixed Littlewood conjectures in Diophantine approximation.
In this paper we give an elementary proof of the Zariski-Lipman conjecture for log canonical spaces.
We establish an analogue of the Goldbach conjecture for Laurent polynomials with positive integer coefficients.
In this note we prove the Weinstein conjecture for a class of symplectic manifolds including the uniruled manifolds based on Liu-Tian's result.
We give a new proof of Chen-Lin result with Li-Zhang method.
In this note we give a short proof of Arnold's conjecture for the zero section of a cotangent bundle of a closed manifold. The proof is based on some basic properties of Lagrangian spectral invariants from Floer theory.
We give a uniform proof of a significant part of the Cachazo-Douglas-Seiberg-Witten conjecture by using topology and geometry of infinite Grassmannians.