相关论文: On the Landau-Siegel Zeros Conjecture

Error in proof of theorem 10.

We put a new conjecture on primes from the point of view of its binary expansions and make a step towards justification.

We state and prove a variant of the Andr\'e-Oort conjecture for the product of 2 modular curves in positive characteristic, assuming GRH for quadratic fields.

We prove some new results related to Tanaka's formula.

We give a proof of the Greene-Krantz conjecture on convex domains in $\CC^2$. Curiously, the proof technique depends on subelliptic estimates for the $\bar{\partial}$ problem.

We prove an infinitary version of the Brauer-Schur theorem.

In this paper, we proved a special case of the DDVV Conjecture.

We prove the geometric Bogomolov conjecture over a function field of characteristic zero.

In this note we prove a converse of Bohr's equivalence theorem for Dirichlet series under some natural assumptions.

The paper contains an alternative proof of M. Kontsevich Formality Theorem.

In this paper, we give a detailed account of Goldfeld's proof of Siegel's theorem. Particularly, we present complete proofs of the nontrivial assumptions made in his paper.

In this short note a new proof of the monotone con- vergence theorem of Lebesgue integral on \sigma-class is given.

In this paper we provide a proof of the Riemann Hypothesis by relating the non-trivial zeros of the zeta function to a certain Sturm-Liouville eigenvalue problem on a finite interval.

The first version of this paper gave another proof of the Kropholler Conjecture, which gives a relative version of Stallings Ends Theorem, following an earlier incorrect proof. It has been pointed out by Sam Shepherd that the the second…

We derive a lower bound for a second moment of the reciprocal of the derivative of the Riemann zeta-function averaged over the zeros of the zeta-function that is half the size of the conjectured value. Our result is conditional upon the…

The Linnik phenomenon concerning the repelling effect of Siegel's zeros is extended to L-functions in a family wider than hitherto considered.

In this paper, the abc conjecture is negated under certain conditions

In 2016, Fei \cite{fei2016application} established a bound on the Siegel zeros for real primitive Dirichlet characters modulo $q$, assuming the weak Hardy-Littlewood conjecture. Building on Fei's work, Jia \cite{jia2022conditional}…

We consider the conjecture of Brutman and Pasow on a totality divided differences and prove the conjecture for continuous functions.

A vector variational principle is proved.