Related papers: A note on the Hodge conjecture
This paper has been withdrawn by the authors due to the fact that the conjecture has indeed already long been established.
This paper has been withdrawn by the author, due an error in the proof of Proposion 2.13.
In this paper we give a counterexample to the conjecture: Let $S\in{\rm SInn}$. Then $z\cdot S$ is onto $U$.
We settle in the affirmative the Graham-Sloane conjecture.
In this short note we report on results on a computational search for a counterexample to the strong coincidence conjecture. In particular, we discuss the method used so that further searches can be conducted.
The contents is changed.
We study a weighted version of Carleman's inequality via Carleman's original approach. As an application of our result, we prove a conjecture of Bennett.
We present a simple dyadic construction that yields a new counterexample to Zygmund's conjecture. Our result recovers Soria's classical result in dimension three, through a different construction, and gives new ones in all other dimensions…
We study an inequality suggested by Littlewood, our result refines a result of Bennett.
We survey most of the known results concerning the Eisenbud-Green-Harris Conjecture. Our presentation includes new proofs of several theorems, as well as a unified treatment of many results which are otherwise scattered in the literature.…
This paper has been withdrawn by the author.
In this short note, we prove Hadwiger's conjecture for strongly monotypic polytopes.
This paper has been withdrawn by the author because Conjecture 1 is false. Please see arXiv:0901.2093 for a justification that Conjecture 1 is false. The other main results are also available from the above URL.
We upgrade [1] to a complete proof of the conjecture NP = PSPACE. [1]: L. Gordeev, E. H. Haeusler, Proof Compression and NP Versus PSPACE, Studia Logica (107) (1): 55-83 (2019)
We prove some statements of left- and right-continuous variants of generalized inverses of non-decreasing real functions.
In this note, we use the method of [3] to give a simple proof of famous Witten conjecture. Combining the coefficients derived in our note and this method, we can derive more recursion formulas of Hodge integrals.
This is a survey on Kawaguchi-Silverman conjecture.
We describe a new source of counterexamples to the so-called integral Hodge and integral Tate conjectures. As in the other known counterexamples to the integral Tate conjecture over finite fields, ours are approximations of the classifying…
In this note a far extension of the Banach fixed point theorem is proved.
In this note we prove an inequality involving primes and the product of consecutive primes.