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Ramanujan 125
 
Edited by: Krishnaswami Alladi University of Florida, Gainesville, FL
Frank Garvan University of Florida, Gainesville, FL
Ae Ja Yee Pennsylvania State University, University Park, PA
Front Cover for Ramanujan 125
Available Formats:
Softcover ISBN: 978-1-4704-1078-0
Product Code: CONM/627
List Price: $83.00
MAA Member Price: $74.70
AMS Member Price: $66.40
Electronic ISBN: 978-1-4704-2039-0
Product Code: CONM/627.E
List Price: $78.00
MAA Member Price: $70.20
AMS Member Price: $62.40
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $124.50
MAA Member Price: $112.05
AMS Member Price: $99.60
Front Cover for Ramanujan 125
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  • Front Cover for Ramanujan 125
  • Back Cover for Ramanujan 125
Ramanujan 125
Edited by: Krishnaswami Alladi University of Florida, Gainesville, FL
Frank Garvan University of Florida, Gainesville, FL
Ae Ja Yee Pennsylvania State University, University Park, PA
Available Formats:
Softcover ISBN:  978-1-4704-1078-0
Product Code:  CONM/627
List Price: $83.00
MAA Member Price: $74.70
AMS Member Price: $66.40
Electronic ISBN:  978-1-4704-2039-0
Product Code:  CONM/627.E
List Price: $78.00
MAA Member Price: $70.20
AMS Member Price: $62.40
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $124.50
MAA Member Price: $112.05
AMS Member Price: $99.60
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 6272014; 174 pp
    MSC: Primary 05; 11; 14; 17; 30; 33;

    This volume contains the proceedings of an international conference to commemorate the 125th anniversary of Ramanujan's birth, held from November 5–7, 2012, at the University of Florida, Gainesville, Florida.

    Srinivasa Ramanujan was India's most famous mathematician. This volume contains research and survey papers describing recent and current developments in the areas of mathematics influenced by Ramanujan. The topics covered include modular forms, mock theta functions and harmonic Maass forms, continued fractions, partition inequalities, \(q\)-series, representations of affine Lie algebras and partition identities, highly composite numbers, analytic number theory and quadratic forms.

    Readership

    Graduate students and research mathematicians interested in number theory.

  • Table of Contents
     
     
    • Articles
    • Scott Ahlgren and Nickolas Andersen - Hecke grids and congruences for weakly holomorphic modular forms
    • George E. Andrews - Knots and $q$-series
    • Alexander Berkovich and Keith Grizzell - A partition inequality involving products of two $q$-Pochhammer symbols
    • Bruce C. Berndt, Sun Kim and Alexandru Zaharescu - Analogues of Koshliakov’s formula
    • Gaurav Bhatnagar - How to prove Ramanujan’s $q$-continued fractions
    • H. M. Farkas, J. Y. Kaminski and E. Yakubov - A nonsingular $Z_3$ curve of genus $4$
    • Amanda Folsom, Ken Ono and Robert C. Rhoades - Ramanujan’s radial limits
    • Michael D. Hirschhorn - An identity that may have changed the course of history
    • C. Krattenthaler and M. J. Schlosser - The major index generating function of standard Young tableaux of shapes of the form “staircase minus rectangle”
    • Lisa Lorentzen - Convergence of random continued fractions
    • Kailash C. Misra and Evan A. Wilson - Tensor product decomposition of $\widehat {\mathfrak {sl}}(n)$ modules and identities
    • Jean-Louis Nicolas and Jonathan Sondow - Ramanujan, Robin, highly composite numbers, and the Riemann Hypothesis
    • Cherng-tiao Perng - A quaternionic proof of the representation formulas of two quaternary quadratic forms
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for reviewers who would like to review an AMS book
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 6272014; 174 pp
MSC: Primary 05; 11; 14; 17; 30; 33;

This volume contains the proceedings of an international conference to commemorate the 125th anniversary of Ramanujan's birth, held from November 5–7, 2012, at the University of Florida, Gainesville, Florida.

Srinivasa Ramanujan was India's most famous mathematician. This volume contains research and survey papers describing recent and current developments in the areas of mathematics influenced by Ramanujan. The topics covered include modular forms, mock theta functions and harmonic Maass forms, continued fractions, partition inequalities, \(q\)-series, representations of affine Lie algebras and partition identities, highly composite numbers, analytic number theory and quadratic forms.

Readership

Graduate students and research mathematicians interested in number theory.

  • Articles
  • Scott Ahlgren and Nickolas Andersen - Hecke grids and congruences for weakly holomorphic modular forms
  • George E. Andrews - Knots and $q$-series
  • Alexander Berkovich and Keith Grizzell - A partition inequality involving products of two $q$-Pochhammer symbols
  • Bruce C. Berndt, Sun Kim and Alexandru Zaharescu - Analogues of Koshliakov’s formula
  • Gaurav Bhatnagar - How to prove Ramanujan’s $q$-continued fractions
  • H. M. Farkas, J. Y. Kaminski and E. Yakubov - A nonsingular $Z_3$ curve of genus $4$
  • Amanda Folsom, Ken Ono and Robert C. Rhoades - Ramanujan’s radial limits
  • Michael D. Hirschhorn - An identity that may have changed the course of history
  • C. Krattenthaler and M. J. Schlosser - The major index generating function of standard Young tableaux of shapes of the form “staircase minus rectangle”
  • Lisa Lorentzen - Convergence of random continued fractions
  • Kailash C. Misra and Evan A. Wilson - Tensor product decomposition of $\widehat {\mathfrak {sl}}(n)$ modules and identities
  • Jean-Louis Nicolas and Jonathan Sondow - Ramanujan, Robin, highly composite numbers, and the Riemann Hypothesis
  • Cherng-tiao Perng - A quaternionic proof of the representation formulas of two quaternary quadratic forms
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.