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pro vyhledávání: '"Knapp, Greg"'
Autor:
Knapp, Greg, Yip, Chi Hoi
In this paper, we consider the relationship between the Mahler measure of a polynomial and its separation. In 1964, Mahler proved that if $f(x) \in \mathbb{Z}[x]$ is separable of degree $n$, then $\operatorname{sep}(f) \gg_n M(f)^{-(n-1)}$. This spur
Externí odkaz:
http://arxiv.org/abs/2410.01126
Let $d>k$ be positive integers. Motivated by an earlier result of Bugeaud and Nguyen, we let $E_{k,d}$ be the set of $(c_1,\ldots,c_k)\in\mathbb{R}_{\geq 0}^k$ such that $\vert\alpha_0\vert\vert\alpha_1\vert^{c_1}\cdots\vert\alpha_k\vert^{c_k}\geq 1$
Externí odkaz:
http://arxiv.org/abs/2408.00250
Autor:
Knapp, Greg
Publikováno v:
Functiones et Approximatio, 2023
In this paper, we study the number of integer pair solutions to the equation $|F(x,y)| = 1$ where $F(x,y) \in \mathbb{Z}[x,y]$ is an irreducible (over $\mathbb{Z}$) binary form with degree $n \geqslant 3$ and exactly three nonzero summands. In partic
Externí odkaz:
http://arxiv.org/abs/2210.09631
Autor:
Knapp, Greg
A classical question in formal logic is "how much mathematics do we need to know in order to prove a given theorem?" Of particular interest is Harvey Friedman's grand conjecture: that every known mathematical theorem involving only finitary mathemati
Autor:
Knapp, Gregory
Publikováno v:
Histórica. 11(2):163-179
Autor:
Knapp, Gregory
Thesis (Ph. D.)--University of Wisconsin--Madison, 1984.
Typescript. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaves 357-377).
Typescript. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaves 357-377).
Externí odkaz:
http://catalog.hathitrust.org/api/volumes/oclc/10727930.html
Autor:
Knapp, Gregory
Thesis (M.S.)--University of Wisconsin--Madison.
Typescript. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaves 124-146).
Typescript. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaves 124-146).
Externí odkaz:
http://catalog.hathitrust.org/api/volumes/oclc/5094936.html