Quadratic uniformity of the Möbius function

Ben Green; Terence Tao

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Displaying similar documents to “Quadratic uniformity of the Möbius function”

Accelero-summation of the formal solutions of nonlinear difference equations

Geertrui Klara Immink (2011)

Annales de l’institut Fourier

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In 1996, Braaksma and Faber established the multi-summability, on suitable multi-intervals, of formal power series solutions of locally analytic, nonlinear difference equations, in the absence of “level $1^{+}$ ”. Combining their approach, which is based on the study of corresponding convolution equations, with recent results on the existence of flat (quasi-function) solutions in a particular type of domains, we prove that, under very general conditions, the formal solution is . Its sum is...

The imaginary quadratic fields of class number 4

Steven Arno (1992)

Acta Arithmetica

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Manin’s conjecture for a quartic del Pezzo surface with $A_{4}$ singularity

Tim D. Browning, Ulrich Derenthal (2009)

Annales de l’institut Fourier

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The Manin conjecture is established for a split singular del Pezzo surface of degree four, with singularity type $A_{4}$ .

Simultaneous reduction to normal forms of commuting singular vector fields with linear parts having Jordan blocks

Masafumi Yoshino, Todor Gramchev (2008)

Annales de l’institut Fourier

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We study the simultaneous linearizability of $d$ –actions (and the corresponding $d$ -dimensional Lie algebras) defined by commuting singular vector fields in $ℂ^{n}$ fixing the origin with nontrivial Jordan blocks in the linear parts. We prove the analytic convergence of the formal linearizing transformations under a certain invariant geometric condition for the spectrum of $d$ vector fields generating a Lie algebra. If the condition fails and if we consider the situation where small denominators...

Global existence for coupled Klein-Gordon equations with different speeds

Pierre Germain (2011)

Annales de l’institut Fourier

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Consider, in dimension 3, a system of coupled Klein-Gordon equations with different speeds, and an arbitrary quadratic nonlinearity. We show, for data which are small, smooth, and localized, that a global solution exists, and that it scatters. The proof relies on the space-time resonance approach; it turns out that the resonant structure of this equation has features which were not studied before, but which are generic in some sense.

The symmetric pluricomplex Green function

Urban Cegrell (1995)

Banach Center Publications

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Displaying similar documents to “Quadratic uniformity of the Möbius function”

Accelero-summation of the formal solutions of nonlinear difference equations

The imaginary quadratic fields of class number 4

Manin’s conjecture for a quartic del Pezzo surface with A 4 singularity

Simultaneous reduction to normal forms of commuting singular vector fields with linear parts having Jordan blocks

Global existence for coupled Klein-Gordon equations with different speeds

The symmetric pluricomplex Green function

Manin’s conjecture for a quartic del Pezzo surface with $A_{4}$ singularity