An isoperimetric inequality for the area of plane regions defined by binary forms

More precisely, our compu- tations suggest that the histograms for the normalised Fourier coefficients of any half-integral weight Hecke eigenforms up to a given bound can be

We prove that oeients of q -expansions of modular forms an be omputed in polynomial time under ertain assumptions, the most important of whih is the Riemann.. hypothesis for ζ

The main technique is a motivic variation of theorems of Mazur, Ogus, Illusie and Nygaard on the Katz conjecture (according to which the Newton polygon of Frobenius on

We will exploit the fact that Φ 3 and Φ 4 are binary quadratic forms, which also are the norms of integers of imaginary quadratic fields with class number 1.. Finally,

• Prove similar estimates for the number of integers represented by other binary forms (done for quadratic forms); e.g.: prove similar estimates for the number of integers which

On the space of Drinfeld modular forms of fixed weight and type, we have the linear form b n : f 7→ b n (f ) and an action of a Hecke algebra.. In the present work, we investigate

We first prove the result for a transversal domain Ω to an optimal ball and we assume that its boundary does not contain segments which are orthogonal to the axis of symmetry.. We

Isoperimetric inequality, quantitative isoperimetric inequality, isoperimetric deficit, barycentric asymmetry, shape derivative, optimality