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GRADUATE INSTITUTE of NATURAL and APPLIED SCIENCES / DEPARTMENT of MATHEMATICS
Doctorate
Course Catalog
http://www.fbe.ktu.edu.tr/
Phone: +90 0462 3772520
FBE
GRADUATE INSTITUTE of NATURAL and APPLIED SCIENCES / DEPARTMENT of MATHEMATICS / Doctorate
Katalog Ana Sayfa
  Katalog Ana Sayfa  KTÜ Ana Sayfa   Katalog Ana Sayfa
 
 

MATL7162Automorphic Functions3+0+0ECTS:7.5
Year / SemesterSpring Semester
Level of CourseThird Cycle
Status Elective
DepartmentDEPARTMENT of MATHEMATICS
Prerequisites and co-requisitesNone
Mode of Delivery
Contact Hours14 weeks - 3 hours of lectures per week
Lecturer--
Co-Lecturer-
Language of instructionTurkish
Professional practise ( internship ) None
 
The aim of the course:
 
Programme OutcomesCTPOTOA
Upon successful completion of the course, the students will be able to :
CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), PO : Learning Outcome

 
Contents of the Course
Hyperbolic Geometry, Existance Theorems, The Divisiors of Automorphic Function and forms, The Hilbert Space of Cusp Forms, Dirichlet Series and Modular Forms, Euler Products, Hecke’s Operators, Quotient Spaces, Functions and Differentials, Measure of Quotient Spaces, Dimension of Space of Cusp Forms, Hecke Ring of Congruance Subgroups
 
Textbook / Material
 
Recommended Reading
 
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Student Work Load and its Distribution
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