Related papers: A note on the Lee-Yang circle theorem
This note is a brief review note on Blachet-Damour-Iyer approach of post-Newtonian theory. This note keeps being modified.
In this note we extend a theorem from [13] about uniform circle random coverings
We give a short proof of a strengthening of the Maximal Ergodic Theorem which also immediately yields the Pointwise Ergodic Theorem.
We survey the classical results on the prime number theorem
We give a new proof of Chen-Lin result with Li-Zhang method.
The aim of this short note is to provide a proof to a statement of Sierpi\'nski concerning the number of possible sums of a series (of type $\lambda<\aleph_1$) of arbitrary ordinal numbers.
This note presents a discussion of the algebraic and combinatorial aspects of the theory of pure O-sequences. Various instances where pure O-sequences appear are described. Several open problems that deserve further investigation are also…
In this paper, we survey some recent results on the Artin conjecture and discuss some aspects for the Artin conjecture.
In this short note, we give an affirmative answer to Wu's conjecture on practical numbers, which was posed in [X.-H. Wu, {\it Special forms and the distribution of practical numbers}, Acta Math. Hungar., {\bf 160}(2020), 405-411].
Using geometric homology and cohomology we give a simple and conceptual proof of the Thom isomorphism theorem.
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…
In this paper, we provide an easy proof of the Four-colour Theorem in a special case indeed.
We give a stack-theoretic proof for some results on families of hyperelliptic curves.
This brief note, written for non-specialists, aims at drawing an introductive overview of the multiverse issue.
In this note, we use the concept of a polynomial ring to give an elementary proof to Cayley-Hamilton Theorem. We also give an elementary proof to Birkhoff theorem on Bi-stochastic matrices.
The aim of this note is to prove a new discrepancy principle. The advantage of the new discrepancy principle compared with the known one consists of solving a minimization problem approximately, rather than exactly, and in the proof of a…
This note contains a complete proof of the Abhyankar-Moh-Suzuki theorem (in characteristic zero case).
Probably we have observed a new simple phenomena dealing with approximations to two real numbers.
The aim of this note is to give a simplified proof of the induced version of the Ramsey theorem for vector spaces first proved by H. J. Pr\"{o}mel.
In this note we show that any proof of Wallis's formula or of the probability integral formula proves both assertions.