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Stark’s Conjectures: Recent Work and New Directions
 
Edited by: David Burns King’s College, London, England
Cristian Popescu University of California, San Diego, CA
Jonathan Sands University of Vermont, Burlington, VT
David Solomon King’s College, London, England
Stark's Conjectures: Recent Work and New Directions
Stark's Conjectures: Recent Work and New Directions
Softcover ISBN:  978-0-8218-3480-0
Product Code:  CONM/358
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7948-1
Product Code:  CONM/358.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-3480-0
eBook: ISBN:  978-0-8218-7948-1
Product Code:  CONM/358.B
List Price: $255.00$192.50
MAA Member Price: $229.50$173.25
AMS Member Price: $204.00$154.00
Stark's Conjectures: Recent Work and New Directions
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Stark's Conjectures: Recent Work and New Directions
Stark’s Conjectures: Recent Work and New Directions
Edited by: David Burns King’s College, London, England
Cristian Popescu University of California, San Diego, CA
Jonathan Sands University of Vermont, Burlington, VT
David Solomon King’s College, London, England
Softcover ISBN:  978-0-8218-3480-0
Product Code:  CONM/358
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7948-1
Product Code:  CONM/358.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-3480-0
eBook ISBN:  978-0-8218-7948-1
Product Code:  CONM/358.B
List Price: $255.00$192.50
MAA Member Price: $229.50$173.25
AMS Member Price: $204.00$154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 3582004; 221 pp
    MSC: Primary 11;

    Stark's conjectures on the behavior of \(L\)-functions were formulated in the 1970s. Since then, these conjectures and their generalizations have been actively investigated. This has led to significant progress in algebraic number theory.

    The current volume, based on the conference held at Johns Hopkins University (Baltimore, MD), represents the state-of-the-art research in this area. The first four survey papers provide an introduction to a majority of the recent work related to Stark's conjectures. The remaining six contributions touch on some major themes currently under exploration in the area, such as non-abelian and \(p\)-adic aspects of the conjectures, abelian refinements, etc. Among others, some important contributors to the volume include Harold M. Stark, John Tate, and Barry Mazur.

    The book is suitable for graduate students and researchers interested in number theory.

    Readership

    Graduate students and research mathematicians interested in number theory.

  • Table of Contents
     
     
    • Articles
    • Cristian D. Popescu - Rubin’s integral refinement of the abelian Stark conjecture [ MR 2088710 ]
    • D. S. Dummit - Computations related to Stark’s conjecture [ MR 2088711 ]
    • Cornelius Greither - Arithmetic annihilators and Stark-type conjectures [ MR 2088712 ]
    • Matthias Flach - The equivariant Tamagawa number conjecture: a survey [ MR 2088713 ]
    • Jonathan W. Sands - Popescu’s conjecture in multi-quadratic extensions [ MR 2088714 ]
    • D. Solomon - Abelian conjectures of Stark type in ${\Bbb Z}_p$-extensions of totally real fields [ MR 2088715 ]
    • H. M. Stark - The derivative of $p$-adic Dirichlet series at $s=0$ [ MR 2088716 ]
    • John Tate - Refining Gross’s conjecture on the values of abelian $L$-functions [ MR 2088717 ]
    • David R. Hayes - Stickelberger functions for non-abelian Galois extensions of global fields [ MR 2063780 ]
    • Barry Mazur and Karl Rubin - Introduction to Kolyvagin systems [ MR 2088718 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 3582004; 221 pp
MSC: Primary 11;

Stark's conjectures on the behavior of \(L\)-functions were formulated in the 1970s. Since then, these conjectures and their generalizations have been actively investigated. This has led to significant progress in algebraic number theory.

The current volume, based on the conference held at Johns Hopkins University (Baltimore, MD), represents the state-of-the-art research in this area. The first four survey papers provide an introduction to a majority of the recent work related to Stark's conjectures. The remaining six contributions touch on some major themes currently under exploration in the area, such as non-abelian and \(p\)-adic aspects of the conjectures, abelian refinements, etc. Among others, some important contributors to the volume include Harold M. Stark, John Tate, and Barry Mazur.

The book is suitable for graduate students and researchers interested in number theory.

Readership

Graduate students and research mathematicians interested in number theory.

  • Articles
  • Cristian D. Popescu - Rubin’s integral refinement of the abelian Stark conjecture [ MR 2088710 ]
  • D. S. Dummit - Computations related to Stark’s conjecture [ MR 2088711 ]
  • Cornelius Greither - Arithmetic annihilators and Stark-type conjectures [ MR 2088712 ]
  • Matthias Flach - The equivariant Tamagawa number conjecture: a survey [ MR 2088713 ]
  • Jonathan W. Sands - Popescu’s conjecture in multi-quadratic extensions [ MR 2088714 ]
  • D. Solomon - Abelian conjectures of Stark type in ${\Bbb Z}_p$-extensions of totally real fields [ MR 2088715 ]
  • H. M. Stark - The derivative of $p$-adic Dirichlet series at $s=0$ [ MR 2088716 ]
  • John Tate - Refining Gross’s conjecture on the values of abelian $L$-functions [ MR 2088717 ]
  • David R. Hayes - Stickelberger functions for non-abelian Galois extensions of global fields [ MR 2063780 ]
  • Barry Mazur and Karl Rubin - Introduction to Kolyvagin systems [ MR 2088718 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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