相关论文: Notes on the multiplicity conjecture

We present a short review of the existing evidence in favor of neutrino mass and neutrino oscillations which come from different kinds of experiments. We focus our attention in particular on solar neutrinos, presenting a global updated…

Some formulas and speculations are presented relative to integrable systems and quantum mechanics.

New lower bounds involving sum, difference, product, and ratio sets for $A\subset \C$ are given.

We give a proof of some small weight and level cases of Serre's conjecture.

Number of results in number theory have been developed using a new method. The Goldbach binary conjecture in strengthened formulation have been among them.

We present new counterexamples, which provide stronger limitations to sums-differences statements than were previously known. The main idea is to consider non-uniform probability measures.

We give a stack-theoretic proof for some results on families of hyperelliptic curves.

This paper is a preliminary report on our search for new good examples of Hall's Conjecture. We present a new algorithm that will detect all good examples within a given search space. We have implemented the algorithm, and our executions…

We show that a weak form of the generalized Bocherer's conjecture implies multiplicity one for Siegel cusp forms of degree 2.

In this note, we give some new families of two-stage spaces for which the torus rank conjecture is affirmed.

We propose new conjectures about the relationship between the principal blocks of finite groups for different primes and establish evidence for these conjectures.

We formulate and discuss a conjecture which would extend a classical inequality of Bernstein.

In this short note we give counterexamples to several results related to extension theorems published recently.

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.

Six conjectures on pairs of consecutive primes are listed in this paper, together with examples for each case.

In this paper some new ways of generalizing perfect numbers are investigated, numerical results are presented and some conjectures are established.

We give a new proof of a_4\phi_3 summation due to G.E. Andrews and confirm another_4\phi_3 summation conjectured by him recently. Some variations of these two_4\phi_3 summations are also given.

In this paper we show some multiplicity estimates theorems for a connected algebraic group (not necessarily commutative) $G$ over an algebraically closed subfield of $\mathbb{C}$. More specifically, under particular assumptions on the…

We confirm several conjectures of Guo, Jouhet and Zeng concerning the factors of alternative binomials sums.

A new generalization of the classical separate algebraicity theorem is suggested and proved.