Related papers: A short proof of Cramer's theorem in R

We show that Isserlis' theorem follows as a corollary to the invariant tensor theorem for isotropic tensors.

We give a short Wiener measure proof of the Riemann hypothesis based on a surprising, unexpected and deep relation between the Riemann zeta $\zeta(s)$ and the trivial zeta $\zeta_{t}(s):=Im(s)(2Re(s)-1)$.

We will give a new proof for the Gromov's theorem on almost flat manifolds, which is an inductive proof on dimension.

We will prove the Brannan conjecture for particular values of the parameter. The basic tool of the study is an integral representation published in a recent work [3].

We give a proof of the Marker-Steinhorn Theorem which fills a gap in previous proofs of the result.

We prove that every polynomially convex arc is contained in a polynomially convex simple closed curve. We also establish results about polynomial hulls of arcs and curves that are locally rectifiable outside a polynomially convex subset.

We give a simple proof of the Fourier Inversion Theorem, using the methods of nonstandard analysis.

This paper presents a simple proof of Dekel (1986)'s representation theorem for betweenness preferences. The proof is based on the separation theorem.

In this article we use the Desargues' theorem and its reciprocal to solve two problems.

We present a streamlined and simplified proof of the Kakeya set conjecture in $\mathbb{R}^3$.

By changing variables in a suitable way and using dominated convergence methods, this note gives a short proof of Stirling's formula and its refinement.

In this note we prove a converse of Bohr's equivalence theorem for Dirichlet series under some natural assumptions.

We give a variational proof of the existence and uniqueness of a convex cap with the given upper boundary. The proof uses the concavity of the total scalar curvature functional on the space of generalized convex caps. As a byproduct, we…

In this paper we present a short and elementary proof for the error in Simpson's rule.

We give a short and self-contained proof of Levi's Extension Lemma for pseudoline arrangements.

We give a geometric approach to the proof of the $\lambda$-lemma. In particular, we point out the role pseudoconvexity plays in the proof.

We prove a dichotomy for o-minimal fields $\mathcal{R}$, expanded by a $T$-convex valuation ring (where $T$ is the theory of $\mathcal{R}$) and a compatible monomial group. We show that if $T$ is power bounded, then this expansion of…

We discuss a construction that gives counterexamples to various questions of unique determination of convex bodies.

We prove a duality theorem applicable to a a wide range of specialisations, as well as to some generalisations, of tangles in graphs. It generalises the classical tangle duality theorem of Robertson and Seymour, which says that every graph…

We formulate and study an extension of gerbe duality to relative Gromov-Witten theory.