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Number Theory in the Spirit of Ramanujan - 9780821841785

Un libro in lingua di Berndt Bruce C. edito da Amer Mathematical Society, 2006

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Suitable for advanced undergraduates or beginning graduate students, this introduction to Ramanujan's work in q-series and theta functions also sets this greatest of number theorists within the context of his world in and out of mathematics. Berndt keeps in the spirit of Ramanujan in his proofs (Ramanujan did not record his own) and gives a summary of the results established for each chapter, placing them in historical and contemporary contexts. He covers Ramanujan's work in congruences for p(n) and r(n), sums of squares and sums of triangular numbers, Eisenstein series, the connection between hypergeometric functions and theta functions and the applications of the primary theorem, and the Rogers-Ramanujan continued fraction. The resulting text is concise, rigorous, elegant and exhilarating in its explanations of Ramanujan's invisible proofs. Annotation ©2006 Book News, Inc., Portland, OR (booknews.com)

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