Universidad de Morelia

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20032005

most citedStates on timelike hypersurfaces in quantum field theory

30 citations

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math.NT2007

A note on the least totient of a residue class

M. Z. Garaev

Let $q$ be a large prime number, $a$ be any integer, $ε$ be a fixed small positive quantity. Friedlander and Shparlinksi \cite{FSh} have shown that there exists a positive integer…

math.NT2007★ 3 cited

The sum-product estimate for large subsets of prime fields

M. Z. Garaev

Let $F_{p}$ be the field of a prime order $p .$ It is known that for any integer $N \in [1, p]$ one can construct a subset $A \subset F_{p}$ with $∣ A ∣ = N$ such that $$ \ma…

math.NT2005★ 4 cited

New estimates of double trigonometric sums with exponential functions

M. Z. Garaev, A. A. Karatsuba

We establish a new bound for the exponential sum \begin{eqnarray*} \sum_{x\in\mathcal{X}}\Big|\sum_{y\in \mathcal{Y}}γ(y)\exp(2πi a λ^{xy}/p)\Big|, \end{eqnarray*} where $λ$ is an…