Related papers: Notes on the multiplicity conjecture
I present a few new and recent ideas of the multiloop calculations.
In this short note we present a class of conjectures on partitions of integers as summations of primes, which are extensions of Goldbach conjecture.
The purpose of this note is to give an affirmative answer to a conjecture appearing in [Integral Transforms Spec. Funct. 26 (2015) 90-95].
We apply a paraconsistent logic to reason about fractions.
In this paper we improve drastically the estimate for the multiplicity of a binary recurrence. The main contribution comes from an effective version of the Faltings' Product Theorem.
This is a survey on Kawaguchi-Silverman conjecture.
We explore several variations on the recently discovered phenomena of murmurations for elliptic curves and modular forms.
We survey the state of the union-closed sets conjecture.
We report the results of our empirical investigations on the Bateman-Horn conjecture. This conjecture, in its commonly known form, produces rather large deviations when the polynomials involved are not monic. We propose a modified version…
A conjecture concerning some pairs of interfering estimates for some integrals is formulated in three equivalent versions. Its importance for the the Paley problem for plurisubharmonic functions and for certain classes of extremal problems…
We improve on Gonek-Montgomery's quantitative version of Kronecker's approximation theorem.
In this short note we improve the best to date bound in Godbersen's conjecture, and show some implications for unbalanced difference bodies.
Motivated by recent research of Wang and Krattenthaler, we use Maple to propose five new ``Borwein-type'' conjectures modulo $3$ and two new ``Borwein-type'' conjectures modulo $5$.
A classical probabilistic explanation for Hardy's quantum paradox is demonstrated.
We prove a number of conjectures [arXiv:2005.04066] recently stated by P. Barry, related to the paperfolding sequence and the Rueppel sequence.
We obtain some new inequalities of Chebyshev Type.
We obtain similar types of conclusions as that of Br\"{u}ck [1] for two differential polynomials which in turn radically improve and generalize several existing results. Moreover, a number of examples have been exhibited to justify the…
We show that it is consistent that the Borel Conjecture and the dual Borel Conjecture hold simultaneously.
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 obtain a new upper bound for binary sums with multiplicative characters over variables belong to some sets, having small additive doubling.