Pluckings from the tree of Smarandache: Sequences and functions
by Charles Ashbacher
Publisher: American Research Press 1998
Number of pages: 80
This is the third book in a series of works exploring the set of problems called Smarandache Notions. In this case, however, there is a concerted effort to delve more deeply into the fundamental mathematics of the problems and resolve the issues. The level of difficulty here will be somewhat higher than that of the previous books.
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by Douglas Ulmer - arXiv
The focus is on elliptic curves over function fields over finite fields. We explain the main classical results on the Birch and Swinnerton-Dyer conjecture in this context and its connection to the Tate conjecture about divisors on surfaces.
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The function in the title is originated from the Romanian mathematician Florentin Smarandache, who has significant contributions in mathematics and literature. This text introduces the Smarandache function and discusses its generalisations.
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