What Do You Know About Automorphic Forms On Gl(2)?

10 Questions | Total Attempts: 100

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What Do You Know About Automorphic Forms On Gl(2)? - Quiz

In the 1970s, a French-American mathematician and an American-Canadian mathematician wrote, authored, and published the book Automorphic Forms on GL(2). As seen in the book, the two mathematicians rewrote a certain theory of modular forms with respect to the adele rings of global fields and representation theory of GL(2) over local fields.


Questions and Answers
  • 1. 
    Who wrote the book Automorphic Forms on GL(2)? 
    • A. 

      H. Jacquet and Robert Langlands

    • B. 

      H. Jacquet and Austin Langlands

    • C. 

      H. Jacquet and Joel Langlands

    • D. 

      H. Jacquet and Robert Langlan

  • 2. 
    In which year was the book released? 
    • A. 

      1968

    • B. 

      1969

    • C. 

      1970

    • D. 

      1971

  • 3. 
     Which theory was rewrote in the book? 
    • A. 

      Hecke's theory

    • B. 

      Henry's theory

    • C. 

      Charles's theory

    • D. 

      Fibonacci's theory

  • 4. 
    Which field was considered in the adele ring?
    • A. 

      Local field

    • B. 

      External field

    • C. 

      Secured field

    • D. 

      Global field

  • 5. 
    Before beginning the study of automorphic forms, what representation theory are we going to review? 
    • A. 

      General linear groups

    • B. 

      Global fields

    • C. 

      Exponential functions

    • D. 

      Linear equations

  • 6. 
    In weils representation, F = ?  In Weils representation, what is F equal to?
    • A. 

      Global field

    • B. 

      Local field

    • C. 

      Zeroth function

    • D. 

      Geometric function

  • 7. 
    In Weils representation, K is equal to which of these?
    • A. 

      Linear equations

    • B. 

      Algebraic equations

    • C. 

      Trigonometric functions

    • D. 

      Exponential functions

  • 8. 
     What do we use for representation in non-Archimedean cases?
    • A. 

      GL(2,0)

    • B. 

      GL(2,F)

    • C. 

      GL(F,2)

    • D. 

      GL(0,2)

  • 9. 
    For lemma 2.5, what does V1 represent?
    • A. 

      Invariant subspace of V

    • B. 

      Variant subspace of V

    • C. 

      First order of V

    • D. 

      Vector V

  • 10. 
    When was the second volume of the book published?
    • A. 

      1969

    • B. 

      1970

    • C. 

      1971

    • D. 

      1972

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