Add to ORKGAn example of Cornalba and Shiffman from 1972 disproves in dimension two or higher a classical prediction that the count of zeros of holomorphic self-mappings of the complex linear space should be controlled by the maximum modulus function. We prove that such a bound holds for a modified coarse count based on the theory of persistence modules originating in topological data analysis.Comment: 31 pages, 6 figures; minor improvement
We prove an asymptotically sharp version of the Bourgain-Clozel-Kahane and Cohn-Gon\c{c}alves sign u...
It is shown that if $f$ or $1/f$ is a real entire function of infinite order of growth, with only re...
We give a generating function for the number of pairs of $n\times n$ matrices $(A, B)$ over a finite...
An example of Cornalba and Shiffman from 1972 disproves in dimension two or higher a classical predi...
An example of Cornalba and Shiffman from 1972 disproves in dimension two or higher a classical predi...
In this paper we obtain estimates for certain transcendence measures of an entire function f. Using ...
In this paper we obtain estimates for certain transcendence measures of an entire function f. Using ...
To a polynomial function $f$ with arbitrary singularities we associate the number of Morse points in...
To a polynomial function $f$ with arbitrary singularities we associate the number of Morse points in...
The aim of this paper is to give some applications of Zalcman's Rescalling Lemma.Comment: 6 pages, w...
We use recent results about linking the number of zeros on algebraic varieties over $\mathbb{C}$, de...
AbstractThe bisection method provides an affirmative answer for scalar functions. We show that the a...
We make a number of comments on Chebyshev polynomials for general compact subsets of the complex pla...
We make a number of comments on Chebyshev polynomials for general compact subsets of the complex pla...
Baker's conjecture states that a transcendental entire functions of order less than 1/2 has no unbou...
We prove an asymptotically sharp version of the Bourgain-Clozel-Kahane and Cohn-Gon\c{c}alves sign u...
It is shown that if $f$ or $1/f$ is a real entire function of infinite order of growth, with only re...
We give a generating function for the number of pairs of $n\times n$ matrices $(A, B)$ over a finite...
An example of Cornalba and Shiffman from 1972 disproves in dimension two or higher a classical predi...
An example of Cornalba and Shiffman from 1972 disproves in dimension two or higher a classical predi...
In this paper we obtain estimates for certain transcendence measures of an entire function f. Using ...
In this paper we obtain estimates for certain transcendence measures of an entire function f. Using ...
To a polynomial function $f$ with arbitrary singularities we associate the number of Morse points in...
To a polynomial function $f$ with arbitrary singularities we associate the number of Morse points in...
The aim of this paper is to give some applications of Zalcman's Rescalling Lemma.Comment: 6 pages, w...
We use recent results about linking the number of zeros on algebraic varieties over $\mathbb{C}$, de...
AbstractThe bisection method provides an affirmative answer for scalar functions. We show that the a...
We make a number of comments on Chebyshev polynomials for general compact subsets of the complex pla...
We make a number of comments on Chebyshev polynomials for general compact subsets of the complex pla...
Baker's conjecture states that a transcendental entire functions of order less than 1/2 has no unbou...
We prove an asymptotically sharp version of the Bourgain-Clozel-Kahane and Cohn-Gon\c{c}alves sign u...
It is shown that if $f$ or $1/f$ is a real entire function of infinite order of growth, with only re...
We give a generating function for the number of pairs of $n\times n$ matrices $(A, B)$ over a finite...