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20122023
most citedThe autocorrelation of the Möbius function and Chowla's conjecture for the rational function field in characteristic 2

22 citations · 35 across the 10 of their papers we have counts for

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6 papers · 1 filter

math.NT2022★ 2 cited

Automated Search for Conjectures on Mathematical Constants using Analysis of Integer Sequences

Ofir Razon, Yoav Harris, Shahar Gottlieb +3

Formulas involving fundamental mathematical constants had a great impact on various fields of science and mathematics, for example aiding in proofs of irrationality of constants. H…

math.NT2017★ 6 cited

The Markoff Group of Transformations in Prime and Composite Moduli

Chen Meiri, Doron Puder, Dan Carmon

The Markoff group of transformations is a group of affine integral morphisms, which is known to act transitively on the set of all positive integer solutions to the equation $x…

math.NT2016

Evenly Divisible Rational Approximations of Quadratic Irrationalities

Dan Carmon

In a recent paper of Blomer, Bourgain, Radziwiłł and Rudnick, the authors proved the existence of small gaps between eigenvalues of the Laplacian in a rectangular billiard with sid…

math.NT2016★ 1 cited

On square-free values of large polynomials over the rational function field

Dan Carmon, Alexei Entin

We investigate the density of square-free values of polynomials with large coefficients over the rational function field . Some interesting questions answered as s…

math.NT2014★ 22 cited

The autocorrelation of the Möbius function and Chowla's conjecture for the rational function field in characteristic 2

Dan Carmon

We prove a function field version of Chowla's conjecture on the autocorrelation of the Möbius function in the limit of a large finite field of characteristic 2.

math.NT2012★ 2 cited

The autocorrelation of the Mobius function and Chowla's conjecture for the rational function field

Dan Carmon, Zeev Rudnick

We prove a function field version of Chowla's conjecture on the autocorrelation of the Mobius function in the limit of a large finite field.