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Seminar on the Mathematical Legacy of Ramanujan

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Lecturer Prof. Dr. Özlem. Imamoglu Lectures Wed 10-12, HG F 26.5
Coordinator Subhajit Jana
   

Start of lectures: 24/02/2016

Contents

The influence of the work of Ramanujan in the development of modern number theory is widely acknowledged. In this course we will explore the parts of his work that enjoyed some recent interest such as his mock theta functions as well as some of his work that is less studied. Possible topics are, Hardy_Ramanijan circle method, modular forms and differential equations, Ramanujan congruences for the partition function, Ramanujan-Petersson conjecture.

Organization

There will be a crash course on Modular forms on 2nd March. Talks are scheduled as follows:

Group 1
Group 2
Group 3
Group 4
Group 5
Group 6
Group 7
Group 8
Group 9
16/03
23/03
06/04
13/04
20/04
27/04
04/05
11/05
18/05
Ramanujan tau function
Differential equations satisfied by modular forms
Partition function and its congruences
Ford circles and Farey sequence
Circle Method
Ramanujan-Petersson conjecture
Mock theta function I
Mock theta function II
Continued fractions

Reference

 

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© 2016 Mathematics Department | Imprint | Disclaimer | 14 March 2016
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