Results 41 to 50 of about 13,445 (181)

Diophantine approximation in Banach spaces [PDF]

, 2016
In this paper, we extend the theory of simultaneous Diophantine approximation to infinite dimensions. Moreover, we discuss Dirichlet-type theorems in a very general framework and define what it means for such a theorem to be optimal.
Fishman, Lior, Simmons, David S., Urbański, Mariusz   +2 more
core  

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

Diophantine approximation and deformation [PDF]

Bulletin de la Société mathématique de France, 2000
We associate certain curves over function fields to given algebraic power series and show that bounds on the rank of Kodaira-Spencer map of this curves imply bounds on the exponents of the power series, with more generic curves giving lower exponents.
Kim, M, Thakur, D, Voloch, J
openaire   +4 more sources

On the exceptional set in Littlewood's discrete conjecture

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract We consider a discrete analogue of the well‐known Littlewood conjecture on Diophantine approximations and obtain a strong upper bound for the number of exceptional vectors in this conjecture.
I. D. Shkredov
wiley   +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

Sums of three positive cubes

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract We survey ideas surrounding the study of the number of integers that can be represented as the sum of three positive cubes. We focus on the early contribution of Davenport using elementary techniques, and the subsequent developments due to Vaughan, which introduced Fourier analysis and mirrored many of the important developments of the Hardy ...
James Maynard
wiley   +1 more source

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
doaj   +1 more source

Solving the n $n$‐Player Tullock Contest

Journal of Public Economic Theory, Volume 28, Issue 2, April 2026.
ABSTRACT The n $n$‐player Tullock contest with complete information is known to admit explicit solutions in special cases, such as (i) homogeneous valuations, (ii) constant returns, and (iii) two contestants. But can the model be solved more generally?
Christian Ewerhart
wiley   +1 more source

Diophantine Approximations. [PDF]

The American Mathematical Monthly, 1964
W. E. Briggs, Ivan Niven
  +5 more sources

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