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Currently displaying 1 – 4 of 4

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Levels of Distribution and the Affine Sieve

Alex Kontorovich — 2014

Annales de la faculté des sciences de Toulouse Mathématiques

We discuss the notion of a “Level of Distribution” in two settings. The first deals with primes in progressions, and the role this plays in Yitang Zhang’s theorem on bounded gaps between primes. The second concerns the Affine Sieve and its applications.

On the determination of the Plancherel measure for Lebedev-Whittaker transforms on GL(n)

Dorian Goldfeld; Alex Kontorovich — 2012

Acta Arithmetica

Bounding hyperbolic and spherical coefficients of Maass forms

Valentin Blomer; Farrell Brumley; Alex Kontorovich; Nicolas Templier — 2014

Journal de Théorie des Nombres de Bordeaux

We develop a new method to bound the hyperbolic and spherical Fourier coefficients of Maass forms defined with respect to arbitrary uniform lattices.

Benford's law, values of L-functions and the 3x+1 problem

Alex V. Kontorovich; Steven J. Miller — 2005

Acta Arithmetica

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