Related papers: On the Erdos-Fuchs theorem

We give a remarkably elementary proof of the Brouwer fixed point theorem. The proof is verifiable for most of the mathematicians.

We prove an improved form of an expectation of Polya and discuss several related questions

New expansions of the number zeta(3) in continuous fractions are found.

We give defining equations for function fields over finite fields with many rational places. They are obtained from composita of quadratic extensions of the rational function field.

We establish cohomological and extension dimension versions of the Hurewicz dimension-raising theorem

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.

In this paper, we intend to revisit Theorem 2 of [3] formulating it in a way that, weakening the hypotheses and, at the same time, highlighting the richer conclusion allowed by the proof, it can potentially be applicable to a broader range…

We revamp the existing theory of Euler class groups and present them in as much generality as possible. We remark on two results of Asok-Fasel and indicate some improvements.

We consider the immediate consequence of an arguable addition to the standard Deduction Theorems of first order theories.

We study etale extensions of rings that have FIP.

We provide algorithms for the absolute and alternating Ostrowski Expansions of the continuum and provide proofs for their uniqueness.

Almost uniform version of noncommutative Wiener-Wintner ergodic theorem and its extension to Besicovitch weights are proved.

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

We improve on Gonek-Montgomery's quantitative version of Kronecker's approximation theorem.

A very short proof of G\"odel's second incompleteness theorem (for set theory, second order arithmetic etc.)

We review our construction of the Teichm\"uller TQFT. We recall our volume conjecture for this TQFT and the examples for which this conjecture has been established. We end the paper with a brief review of our new formulation of the…

We prove some extension results for holomorphic mappings with values in complex Hilbert manifolds

The aim of this paper is to present an extension theorem for the functions separately holomorphic on generalized (N,k)-crosses with pluripolar singularities.

We bring into account a series of result in the infinite ergodic theory that we believe that they are relevant to the theory of non-extensive entropies

We develop the theory of Schur covers of finite skew braces. We prove the existence of at least one Schur cover. We also compute several examples. We prove that different Schur covers are isoclinic. Finally, we prove that Schur covers have…