<p><i>This paper is a review of research and recent results in number theory and combinatorics obtained by young mathematicians under the author’s scientific supervision at St. Petersburg State University. Necessary background information on Ramanujan,</i> <i>q</i><i>-series, and mock theta functions is given. Historical remarks on Ramanujan’s Lost Notebook are provided and perspective results of Nikolay Borozenets on Ramanujan-topic are discussed in detail. Bibliography</i>&#xa0;:&#xa0; 28&#xa0;<i>titles.</i></p>

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RAMANUJAN, q-SERIES, AND MOCK THETA FUNCTIONS AT SPbU

  • Eric T. Mortenson

摘要

This paper is a review of research and recent results in number theory and combinatorics obtained by young mathematicians under the author’s scientific supervision at St. Petersburg State University. Necessary background information on Ramanujan, q-series, and mock theta functions is given. Historical remarks on Ramanujan’s Lost Notebook are provided and perspective results of Nikolay Borozenets on Ramanujan-topic are discussed in detail. Bibliography :  28 titles.