Abstract
THE present treatise, constituting almost entirely an original work, was written during 1944-45 and communicated as a memoir to the Pontifical Academy of Sciences, by which it has been published as one of a series of monographs. Its purpose is to fill an obvious gap both in the theory of algebraic functions and their integrals and in the relevant geometrical literature, subjects to which Prof. Severi has made masterly contributions during the last forty-five years. The concept of quasi-Abelian function, in its simplest form, has its origin in a theorem of Weierstrass, which asserts that the only uniform functions of a complex variable possessing an algebraic addition theorem are the elliptic functions and their degenerate forms, namely, the exponential and rational functions. The functions of the last two types are the quasi-Abelian functions relative to the elliptic function.
Funzioni quasi-abeliane
By Prof. Francesco Severi. (Pontificiæ Academiæ Scientiarum Scripta Varia 4.) Pp. 327. (Rome: Pontifical Academy of Sciences, 1947.) n.p.
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ROTH, L. Funzioni quasi-abeliane. Nature 162, 593 (1948). https://doi.org/10.1038/162593a0
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DOI: https://doi.org/10.1038/162593a0