On modular signs

On Modular Signs

We consider some questions related to the signs of Hecke eigenvalues or Fourier coefficients of classical modular forms. One problem is to determine to what extent those signs, for suitable sets of primes, determine uniquely the modular form, and we give both individual and statistical results. The second problem, which has been considered by a number of authors, is to determine the size, in te...

Modular Signs, or yet Another Recognition Problem for Modular Forms

There are many results in the arithmetic of modular forms which are, more or less, concerned with various ways of characterizing a given (primitive) cusp form f from its siblings, starting from the fact that Fourier coefficients, hence the L-function, determine uniquely a cusp form f relative to a congruence subgroup Γ of SL(2,Z), going through stronger forms of the multiplicity one theorem for...

Modular Traffic Signs Recognition Applied to On-vehicle Real-time Visual Detection of American and European Speed Limit Signs

We present a new modular traffic signs recognition system, successfully applied to both American and European speed limit signs. Our sign detection step is based only on shape-detection (rectangles or circles). This enables it to work on grayscale images, contrary to most European competitors, which eases robustness to illumination conditions (notably night operation). Speed sign candidates are...

Modular Hardware Design and Realization for Vital Signs Monitoring

Remote vital signs monitoring is attracting more and more attention as the population in developed countries is aging, and as the chronic diseases appear more frequently in the population. Smart mobile technologies and miniaturization in electronics have enabled fast development of systems for remote monitoring of vital signs. This paper presents a hardware solution of a mobile device for remot...

Some result on modular hyperconvex spaces