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20132026
most citedSums of Kloosterman sums in arithmetic progressions, and the error term in the dispersion method

29 citations · 79 across the 18 of their papers we have counts for

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Showing 2019Show all

3 papers · 1 filter

math.NT2019

Modularity and value distribution of quantum invariants of hyperbolic knots

Sandro Bettin, Sary Drappeau

We obtain an exact modularity relation for the -Pochhammer symbol. Using this formula, we show that Zagier's modularity conjecture for a knot essentially reduces to the arit…

math.NT2019★ 8 cited

Partial sums of the cotangent function

Sandro Bettin, Sary Drappeau

Nous prouvons l'existence de formules de réciprocité pour des sommes de la forme , où est une fonction par morceaux, qui…

math.NT2019

Limit laws for rational continued fractions and value distribution of quantum modular forms

Sandro Bettin, Sary Drappeau

We study the limiting distributions of Birkhoff sums of a large class of cost functions (observables) evaluated along orbits, under the Gauss map, of rational numbers in or…