259 citations
- Columbia UniversityUS18 papers
- University of AmsterdamNL18 papers
- University of BonnDE18 papers
- Imperial College LondonGB17 papers
- University of FreiburgDE17 papers
- Brookhaven National LaboratoryUS16 papers
- Fermi National Accelerator LaboratoryUS16 papers
- Johannes Gutenberg University MainzDE16 papers
- Korea UniversityKR16 papers
- Lyon 1 UniversitéFR16 papers
- University of California, RiversideUS16 papers
- University of Illinois ChicagoUS16 papers
6 papers · 1 filter
On small fractional parts of polynomials
Nikolay G. Moshchevitin
We prove that for any real polynomial the set has positive Hausdorff dimension. Here…
On a Generalization of Szemeredi's Theorem
I. D. Shkredov
Let A \subseteq [1,..,N]^2 be a set of cardinality at least N^2/(log log N)^c, where c>0 is an absolute constant. We prove that A contains a triple {(k,m), (k+d,m), (k,m+d)}, where…
On examples of two-dimensional periodic continued fractions
O. N. Karpenkov
This paper is a short survey of the recent results on examples of periodic two-dimensional continued fractions (in Klein's model). In the last part of this paper we formulate some…
Séries hypergéométriques basiques, -analogues des valeurs de la fonction zêta et séries d'Eisenstein
C. Krattenthaler, T. Rivoal, W. Zudilin
Nous étudions la nature arithmétique de -analogues des valeurs de la fonction zêta de Riemann, notamment des valeurs des fonctions $ζ_q(s)= \sum_{k=1} ^{\infty}q^k \sum_{…
Diophantine problems for q-zeta values
Wadim Zudilin
A motivated q-extension of the values of the Riemann zeta function at positive integers is presented. Several irrationality and transcendence results as well as new general problem…
A third-order Apery-like recursion for
Wadim Zudilin
In 1978, Apery has given sequences of rational approximations to and yielding the irrationality of each of these numbers. One of the key ingredient of Apery's proof a…