Results 31 to 40 of about 106 (53)
Lower bounds for the modified Szpiro ratio
, 2023 Let $E/\mathbb{Q}$ be an elliptic curve. The modified Szpiro ratio of $E$ is the quantity $\sigma_{m}(E) =\log\max\left\{ \left\vert c_{4}^{3}\right\vert ,c_{6}^{2}\right\} /\log N_{E}$ where $c_{4}$ and $c_{6}$ are the invariants associated to a global ...
Barrios, Alexander J.
core
Diophantine approximation with one prime, two squares of primes and one $k$-th power of a prime
, 2017 Let ...
Gambini, Alessandro
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Bounded Generation by semi-simple elements: quantitative results [PDF]
, 2022 Corvaja, P. +4 more
core +5 more sources
Number Theory, Analysis and Geometry: In Memory of Serge Lang [PDF]
, 2012 Serge Lang was an iconic figure in mathematics, both for his own important work and for the indelible impact he left on the field of mathematics, on his students, and on his colleagues. Over the course of his career, Lang traversed a tremendous amount of
Goldfeld, Dorian +5 more
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The quaternary Piatetski-Shapiro inequality with one prime of the form $\mathbf{p=x^2+y^2+1}$
, 2020 In this paper we show that, for any fixed ...
Dimitrov, S. I.
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Parallel algorithm for determining the “small solutions” of Thue equations [PDF]
A typical research field in number theory is determining the solutions of Diophantine equations. One of the earliest topic amongst these are the topics of Thue equations and inequalities.
Szekrényesi, Gergő
core
On the $abc$ and the $abcd$ conjectures
We revisit a subexponential bound for the $abc$ conjecture due to the first author, and we establish a variation of it using linear forms in logarithms.
Pasten, Hector, Sepúlveda-Manzo, Rocío
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One Diophantine inequality with integer and prime variables [PDF]
H Davenport +5 more
core +1 more source
Cubic diophantine inequalities for split forms [PDF]
Monatshefte Fur Mathematik, 2014 Denote by s(r)0 the least integer such that if s⩾s(r)0 , and F is a cubic form with real coefficients in s variables that splits into r parts, then F takes arbitrarily small values at nonzero integral points. We bound s(r)0 for r⩽6
Sam Chow
exaly +3 more sources