Abstract
The a-number of an algebraic curve $${\mathcal {X}}$$ is the dimension of the space of exact holomorphic differentials on $${\mathcal {X}}$$ . In this paper, we give a formula for the a-number of family of hyperelliptic curves defined by the equations $$y^2=x^{m}+1$$ and $$y^2=x^{m}+x$$ for infinitely many values of m.
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