Related papers: A Proof of Kamp's theorem
We give a new proof of the theorem of Kronecker-Weber based on Kummer theory and Stickelberger's theorem.
Using geometric homology and cohomology we give a simple and conceptual proof of the Thom isomorphism theorem.
We prove an analogue of the fixed-point theorem for the case of definably amenable groups.
A simple proof of the celebrated theorem of Lee and Yang is attempted in this short note.
We prove a generalized Gauss-Kuzmin-L\'evy theorem for the $p$-numerated generalized Gauss transformation $$T_p(x)=\{\frac{p}{x}\}.$$ In addition, we give an estimate for the constant that appears in the theorem.
We give simple proofs for the Hankel determinants of q-exponential polynomials.
We show that Pinney's equation [2] with a constant coefficient can be reduced to its linear part by a simple change of variables. Also, Pinney's original solution is simplified slightly.
Recently R\"ussmann proposed a new new variant of KAM theory based on a slowly converging iteration scheme. It is the purpose of this note to make this scheme accessible in an even simpler setting, namely for analytic perturbations of…
We introduce an elementary argument to the theory of distribution of sequences modulo one.
We give a proof for the fundamental theorem of algebra,using the Fredholm index phenomena
In this short note, we give a simple proof of a Lee-Yang type theorem which appeared in "Lee-Yang theorems and the complexity of computing averages" by Alistair Sinclair and Piyush Srivastava.
The assumptions needed to prove Cox's Theorem are discussed and examined. Various sets of assumptions under which a Cox-style theorem can be proved are provided, although all are rather strong and, arguably, not natural.
Simple argument in favour of unitarity, to all orders, of space-like noncommutative theory is given.
This article contains the proof of a theorem on orthogonal-Pin duality that was cited without proof in a previous article in this journal.
We give a new short proof of the most simple relation between consecutive power sums of the first m positive integers.
We give a simple proof of Dorronsoro's theorem and use similar ideas to establish an equivalence for embeddings of vector fields.
We give a simple short proof of Brooks' theorem using only induction and greedy coloring, while avoiding issues of graph connectivity. The argument generalizes easily to some extensions of Brooks' theorem, including its variants for list…
We present a proof of the Chevalley-Weil Theorem that is somewhat different from the proofs appearing in the literature and with somewhat weaker hypotheses, of purely topological type. We also provide a discussion of the assumptions, and an…
We give a direct proof of the Ohsawa-Takegoshi by solving directly the d-bar equation.
In this paper, we present a short proof of Halin's grid theorem.