Ramanujan's Lost Notebook : Part IV

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Ramanujan's Lost Notebook : Part IV

種類:

電子ブック

責任表示:

by George E. Andrews, Bruce C. Berndt

出版情報:

New York, NY : Springer New York : Imprint: Springer, 2013

著者名:

ISBN:

9781461440819 [1461440815]

ローカル注記:

学内専用E-BOOKS (local access only)

オンライン

http://dx.doi.org/10.1007/978-1-4614-4081-9

所蔵情報

子書誌情報

タイトルが類似している資料

詳細

主題:

Analysis; Fourier Analysis; Mathematics; Number Theory; Special Functions

分類・件名:

DC23 : 512.7
LCSH : Mathematics
LCSH : Global analysis (Mathematics)
LCSH : Fourier analysis
LCSH : Functions, special
LCSH : Number theory
FREE : Mathematics
FREE : Number Theory
FREE : Analysis
FREE : Fourier Analysis
FREE : Special Functions

形態:

XVII, 439 p. 1 illus : digital

目次情報:

Preface
1 Introduction.- 2 Double Series of Bessel Functions and the Circle and Divisor Problems.- 3 Koshliakov's Formula and Guinand's Formula.- 4 Theorems Featuring the Gamma Function.- 5 Hypergeometric Series.- 6 Euler's Constant.- 7 Problems in Diophantine Approximation.- 8 Number Theory.- 9 Divisor Sums
10 Identities Related to the Riemann Zeta Function and Periodic Zeta Functions
11 Two Partial Unpublished Manuscripts on Sums Involving Primes.- 12 Infinite Series
13 A Partial Manuscript on Fourier and Laplace Transforms
14 Integral Analogues of Theta Functions adn Gauss Sums
15 Functional Equations for Products of Mellin Transforms
16 Infinite Products
17 A Preliminary Version of Ramanujan's Paper, On the Integral ∫_0^x tan^(-1)t)/t dt
18 A Partial Manuscript Connected with Ramanujan's Paper, Some Definite Integrals.- 19 Miscellaneous Results in Analysis
20 Elementary Results
21 A Strange, Enigmatic Partial Manuscript.- Location Guide
Provenance
References
Index

Preface
1 Introduction.- 2 Double Series of Bessel Functions and the Circle and Divisor Problems.- 3 Koshliakov's Formula and Guinand's Formula.- 4 Theorems Featuring the Gamma Function.- 5 Hypergeometric Series.- 6 Euler's Constant.- 7 Problems in Diophantine Approximation.- 8 Number Theory.- 9 Divisor Sums
10 Identities Related to the Riemann Zeta Function and Periodic Zeta Functions
11 Two Partial Unpublished Manuscripts on Sums Involving Primes.- 12 Infinite Series
13 A Partial Manuscript on Fourier and Laplace Transforms
14 Integral Analogues of Theta Functions adn Gauss Sums

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書誌ID:

KB00010022

内容紹介

目次情報

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