Results 71 to 80 of about 12,497 (156)
Diophantine approximation with one prime, two squares of primes and one $k$-th power of a prime
, 2017 Let ...
Gambini, Alessandro
core
Diophantine inequalities in function fields [PDF]
Bulletin of the London Mathematical Society, 2009 This paper develops the Bentkus-Gotze-Freeman variant of the DavenportHeilbronn method for function fields in order to count Fq[t]-solutions to diagonal Diophantine inequalities in Fq((1/t)).
openaire +1 more source
Diophantine inequalities with mixed powers, II
Journal of Number Theory, 1979 AbstractIt is shown that if λ1, …, λ5 are non-zero real numbers, not all of the same sign, and at least one of the ratios λiλj (1 ≤ j ≤ 3) is irrational then the values taken by λ1x12 + λ2x22 + λ3x32 + λ4x43 + λ5x53 for integer values of x1, …, x5 are everywhere dense on the real line.
openaire +1 more source
Diophantine inequalities with power sums [PDF]
Journal de théorie des nombres de Bordeaux, 2008 The ring of power sums is formed by complex functions on ℕ of the formα(n)=b1c1n+b2c2n+...+bhchn,for some b i ∈ℚ ¯ and c i ∈ℤ. Let F(x,y)∈ℚ ¯[x,y] be absolutely irreducible, monic and of degree at least 2 in y. We consider Diophantine inequalities of the form|F(α(n),y)|<|∂F∂y(α(n),y)|·|α(n)|-εand show that all the solutions (n,y)∈ℕ×ℤ have y ...
openaire +1 more source
Systems of diagonal Diophantine inequalities [PDF]
Transactions of the American Mathematical Society, 2003 We treat systems of real diagonal forms F 1 ( x ) , F 2 ( x ) , … , F R ( x ) F_1(\mathbf {x}), F_2(\mathbf {x ...
openaire +2 more sources
On a variant of Pillai's problem involving <i>S</i>-units and Fibonacci numbers. [PDF]
Bol Soc Mat Mex, 2022 Ziegler V.
europepmc +1 more source
, 2019 In this paper, we prove an effective asymptotic equidistribution result for one-parameter unipotent orbits in $\mathrm{SL}(3, \mathbb{R})/\mathrm{SL}(3,\mathbb{Z})$.
Chow, Sam, Yang, Lei
core
Analytic Methods for Diophantine Equations and Diophantine Inequalities
, 2005 Harold Davenport was one of the truly great mathematicians of the twentieth century. Based on lectures he gave at the University of Michigan in the early 1960s, this book is concerned with the use of analytic methods in the study of integer solutions to Diophantine equations and Diophantine inequalities.
H. Davenport, T. D. Browning
openaire +2 more sources
Pseudo-symmetric modular Diophantine inequalities [PDF]
Mathematical Inequalities & Applications, 2005 In this paper we study and characterize those Diophantine inequalities ax mod b x whose set of solutions is a pseudo-symmetric numerical semigroup.
openaire +1 more source
Counting Real Roots in Polynomial-Time via Diophantine Approximation. [PDF]
Found Comut Math, 2022 Rojas JM.
europepmc +1 more source