109 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Universidad Nacional Autónoma de MéxicoMX91 papers
- Universidad Michoacana de San Nicolás de HidalgoMX18 papers
- Pennsylvania State UniversityUS15 papers
- Universidad de MoreliaMX5 papers
- Tohoku UniversityJP4 papers
- University of CambridgeGB3 papers
- University of the WitwatersrandZA3 papers
- Centre National de la Recherche ScientifiqueFR2 papers
- Christian-Albrechts-Universität zu KielDE2 papers
- Graz University of TechnologyAT2 papers
- Institute of Mathematical SciencesIN2 papers
- King Abdulaziz UniversitySA2 papers
3 papers · 2 filters
On equal values of power sums of arithmetic progressions
A. Bazsó, D. Kreso, F. Luca +1
In this paper we consider the Diophantine equation \begin{align*}b^k +\left(a+b\right)^k &+ \cdots + \left(a\left(x-1\right) + b\right)^k=\\ &=d^l + \left(c+d\right)^l + \cdots + \…
Multiplicative decomposition of arithmetic progressions in prime fields
M. Z. Garaev, S. V. Konyagin
We prove that there exists an absolute constant such that if an arithmetic progression $\cP$ modulo a prime number does not contain zero and has the cardinality less than…
Kloosterman sums in residue rings
J. Bourgain, M. Z. Garaev
In the present paper, we generalize some of the results on Kloosterman sums proven in \cite{BG} for prime moduli to general moduli. This requires to establish the corresponding add…