5 citations · 5 across the 4 of their papers we have counts for
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D{é}monstration d'une conjecture de Kruyswijk et Meijer sur le plus petit d{é}nominateur des nombres rationnels d'un intervalle
Michel Balazard, Bruno Martin
The average value of the smallest denominator of a rational number belonging to the interval , where~, is proved to be asymptotically equivalent to~$16…
Sur certaines équations fonctionnelles approchées, liées à la transformation de Gauss
Michel Balazard, Bruno Martin
In the line of classical work by Hardy, Littlewood and Wilton, we study a class of functional equations involving the Gauss transformation from the theory of continued fractions. T…
Sur une équation fonctionnelle approchée due à J. R. Wilton
Michel Balazard, Bruno Martin
We give a new proof of an approximate functional equation, due to J. R. Wilton, for a trigonometric sum involving the divisor function. This allows us to improve on Wilton's error…
Sur l'autocorrélation multiplicative de la fonction "partie fractionnaire" et une fonction définie par J. R. Wilton
Michel Balazard, Bruno Martin
We describe the points of diff erentiability of the multiplicative autocorrelation function of the "fractional part" function. In connection with this question, we study series inv…