Results 31 to 40 of about 13,363 (161)

One Diophantine inequality with unlike powers of prime variables

Journal of Inequalities and Applications, 2016
In this paper, we show that if λ 1 $\lambda_{1}$ , λ 2 $\lambda_{2}$ , λ 3 $\lambda_{3}$ , λ 4 $\lambda _{4}$ , λ 5 $\lambda_{5}$ are nonzero real numbers not all of the same sign, η is real, 0 < σ < 1 720 ...
Wenxu Ge, Weiping Li
doaj   +1 more source

Diophantine approximation with one prime, two squares of primes and one kth power of a prime

Open Mathematics, 2021
Let ...
Gambini Alessandro
doaj   +1 more source

Diophantine approximation on lines with prime constraints

, 2013
We study the problem of Diophantine approximation on lines in R^2 with prime numerator and denominator.Comment: 14 ...
Baier, Stephan, Ghosh, Anish
core   +1 more source

Distribution of Values of Quadratic Forms at Integral Points

, 2019
The number of lattice points in $d$-dimensional hyperbolic or elliptic shells $\{m ...
Buterus, Paul, Götze, Friedrich, Hille, Thomas, Margulis, Gregory   +3 more
core   +1 more source

Diophantine approximation by special primes

, 2018
We show that whenever $\delta>0$, $\eta$ is real and constants $\lambda_i$ satisfy some necessary conditions, there are infinitely many prime triples $p_1,\, p_2,\, p_3$ satisfying the inequality $|\lambda_1p_1 + \lambda_2p_2 + \lambda_3p_3+\eta|
Dimitrov, S. I.
core   +1 more source

Melvin Models and Diophantine Approximation

, 2004
Melvin models with irrational twist parameter provide an interesting example of conformal field theories with non-compact target space, and localized states which are arbitrarily close to being delocalized.
Chan, Cornalba, Costa, David, David Kutasov, Dijkgraaf, Dowker, Dowker, Dowker, Dowker, Elitzur, Gregory W. Moore, Gutperle, Harvey, Headrick, Jens Marklof, Kol, Kutasov, Liu, Marklof, Pollicott, Russo, Russo, Series, Slater   +24 more
core   +4 more sources

Diophantine Approximations on Fractals [PDF]

Geometric and Functional Analysis, 2011
ISSN:1420 ...
Einsiedler, Manfred, Fishman, Lior, Shapira, Uri   +2 more
openaire   +4 more sources

Counting algebraic numbers in short intervals with rational points

Журнал Белорусского государственного университета: Математика, информатика, 2019
In 2012 it was proved that real algebraic numbers follow a non­uniform but regular distribution, where the respective definitions go back to H. Weyl (1916) and A. Baker and W. Schmidt (1970).
Vasily I. Bernik, Friedrich Götze, Nikolai I. Kalosha   +2 more
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Diophantine Approximations. [PDF]

The American Mathematical Monthly, 1964
W. E. Briggs, Ivan Niven
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A uniform metrical theorem in multiplicative Diophantine approximation

Forum of Mathematics, Sigma
For Lebesgue generic $({x}_1,x_2)\in \mathbb {R}^2$ , we investigate the distribution of small values of products $q\cdot \|qx_1\| \cdot \|qx_2\|$ with $q\in \mathbb {N}$ , where $\|\cdot \|$ denotes the distance to the closest ...
Michael Björklund, Reynold Fregoli, Alexander Gorodnik   +2 more
doaj   +1 more source