16,058 research outputs found

    Uncovering Ramanujan's "Lost" Notebook: An Oral History

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    Here we weave together interviews conducted by the author with three prominent figures in the world of Ramanujan's mathematics, George Andrews, Bruce Berndt and Ken Ono. The article describes Andrews's discovery of the "lost" notebook, Andrews and Berndt's effort of proving and editing Ramanujan's notes, and recent breakthroughs by Ono and others carrying certain important aspects of the Indian mathematician's work into the future. Also presented are historical details related to Ramanujan and his mathematics, perspectives on the impact of his work in contemporary mathematics, and a number of interesting personal anecdotes from Andrews, Berndt and Ono

    A note on subgroup commutativity degrees of finite groups

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    In this note we give some new results concerning the subgroup commutativity degree of a finite group GG. These are obtained by considering the minimum of subgroup commutativity degrees of all sections of GG

    Partial ovoids and partial spreads in finite classical polar spaces

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    We survey the main results on ovoids and spreads, large maximal partial ovoids and large maximal partial spreads, and on small maximal partial ovoids and small maximal partial spreads in classical finite polar spaces. We also discuss the main results on the spectrum problem on maximal partial ovoids and maximal partial spreads in classical finite polar spaces
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