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The Second Moment Theory of Families of $L$-Functions–The Case of Twisted Hecke $L$-Functions
 
Valentin Blomer Universität Bonn, Bonn, Germany
Emmanuel Kowalski ETH Zürich, Zürich, Switzerland
Philippe G. Michel École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland
Djordje Milićević Bryn Mawr College, Bryn Mawr, Pennsylvania
Will Sawin Columbia University, New York City, New York
Étienne Fouvry Université Paris–Saclay, Orsay, France
eBook ISBN:  978-1-4704-7350-1
Product Code:  MEMO/282/1394.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
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The Second Moment Theory of Families of $L$-Functions–The Case of Twisted Hecke $L$-Functions
Valentin Blomer Universität Bonn, Bonn, Germany
Emmanuel Kowalski ETH Zürich, Zürich, Switzerland
Philippe G. Michel École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland
Djordje Milićević Bryn Mawr College, Bryn Mawr, Pennsylvania
Will Sawin Columbia University, New York City, New York
Étienne Fouvry Université Paris–Saclay, Orsay, France
eBook ISBN:  978-1-4704-7350-1
Product Code:  MEMO/282/1394.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 2822023; 154 pp
    MSC: Primary 11

    View the abstract.

  • Table of Contents
     
     
    • Chapters
    • 1. The second moment theory of families of $L$-functions
    • 2. Preliminaries
    • 3. Algebraic exponential sums
    • 4. Computation of the first twisted moment
    • 5. Computation of the second twisted moment
    • 6. Non-vanishing at the central point
    • 7. Extreme values of twisted $L$-functions
    • 8. Upper bounds for the analytic rank
    • 9. A conjecture of Mazur-Rubin concerning modular symbols
    • Notation index
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 2822023; 154 pp
MSC: Primary 11

View the abstract.

  • Chapters
  • 1. The second moment theory of families of $L$-functions
  • 2. Preliminaries
  • 3. Algebraic exponential sums
  • 4. Computation of the first twisted moment
  • 5. Computation of the second twisted moment
  • 6. Non-vanishing at the central point
  • 7. Extreme values of twisted $L$-functions
  • 8. Upper bounds for the analytic rank
  • 9. A conjecture of Mazur-Rubin concerning modular symbols
  • Notation index
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.