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Ramanujan's notebooks

Author: Srinivasa Ramanujan Aiyangar; Bruce C Berndt
Publisher: New York : Springer-Verlag, ©1985-<©1998>
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

During the years 1903-1914, Ramanujan recorded many of his mathematical discoveries in notebooks without providing proofs. Part I, published in 1985, contains an account of Chapters 1-9 in the second  Read more...

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Additional Physical Format: Online version:
Ramanujan Aiyangar, Srinivasa, 1887-1920.
Ramanujan's notebooks.
New York : Springer-Verlag, ©1985-<c1998>
(OCoLC)872634760
Document Type: Book
All Authors / Contributors: Srinivasa Ramanujan Aiyangar; Bruce C Berndt
ISBN: 0387961100 9780387961101 038796794X 9780387967943 0387975039 9780387975030 0387949410 9780387949413 3540961100 9783540961109 354096794X 9783540967941 3540975039 9783540975038 3540941096 9783540941095 0387941096 9780387941097
OCLC Number: 11133614
Description: volumes <1-5> : portraits ; 24 cm
Contents: Pt. 1. Magic squares. Sums related to the harmonic series or the inverse tangent function. Combinatorial analysis and series inversions. Iterates of the exponential function and an ingenious formal technique. Eluerian polynomials and numbers, Bernoulli numbers, and the Riemann zeta-function. Ramanujan's theory of divergent series. Sums of powers, Bernoulli numbers, and the gamma function. Analogues of the gamma function. Infinite series identities, transformations, and evaluations. Ramanujan's quarterly reports --
pt. 2. Hypergeometric series, I. Hypergeometric series, II. Continued fractions. Integrals and asymptotic expansions. Infinite series. Asymptotic expansions and modular forms --
pt. 3. q-series and theta-functions. Fundamental properties of elliptic functions. The Jacobian elliptic functions. Modular equations of degrees 3, 5, and 7 and associated theta-function identities. Modular equations of higher and composite degrees. Eisenstein series
Responsibility: [edited by] Bruce C. Berndt.
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