Related papers: A weighted version of Saitoh's conjecture
We prove the volume conjecture for any twist knots by using an equivalence relation, complex analysis, analytic continuation, and function of several complex variables on the basis of colored Jones polynomials.
We present a generalization of a formula of higher order derivatives and give a short proof.
This is a companion note to our paper 'Some advances on Sidorenko's conjecture', elaborating on a remark in that paper that the approach which proves Sidorenko's conjecture for strongly tree-decomposable graphs may be extended to a broader…
In this note, we provide a short proof of Feige's conjecture for identically distributed random variables.
We prove existence of conjugate Galois representations, and we use it to derive a simple method of weight reduction. As a consequence, an alternative proof of the level 1 case of Serre's conjecture follows.
We give a short proof of Weintraub's conjecture by constructing explicit highest weight vectors in the symmetric power of an even exterior power.
We put a new conjecture on primes from the point of view of its binary expansions and make a step towards justification.
We give a proof of some small weight and level cases of Serre's conjecture.
We prove the Invariant Subspace Conjecture for separable Hilbert spaces.
We prove the Aharoni Berger Conjecture
In this paper, we obtained an equivalent proposition of Brennan`s conjecture. And given two lower bound estimation of the conjecture one of them connected with Schwarzian derivative. The present study also verified the correctness of the…
One of the variants to proof the generalized Ito-Wentzell's formula is introduced and examined in this paper. The relationship between different representations of the generalized Ito-Wentzell's formula/ is considered.
We present a selection of known as well as new variants of the Sensitivity Conjecture and point out some weaker versions that are also open.
We provide a proof of the Borwein Conjecture using analytic methods.
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].
Hirose, Saito, and the author established the weighted sum formula for finite multiple zeta(-star) values. In this paper, we present its alternative proof. The proof is also valid for symmetric multiple zeta(-star) values.
We obtain a weighted sum formula of the zeta values at even arguments, and a weighted sum formula of the multiple zeta values with even arguments and its zeta-star analogue. The weight coefficients are given by (symmetric) polynomials of…
We prove a connectedness result for products of weighted projective spaces.
We consider the conjecture of Brutman and Pasow on a totality divided differences and prove the conjecture for continuous functions.
In this note, we give an alternate proof of the multinomial theorem using a probabilistic approach. Although the multinomial theorem is basically a combinatorial result, our proof may be simpler for a student familiar with only basic…