discipline

Mathematics

subject

Special functions

lecturers

Gábor Halász

credits

2

period

third semester

curriculum

Gamma function. Stirling formula in the plane, saddle point method.

 

Zeta function. Functional equation, zeros. Prime Number Theorem.

 

Elliptic functions. Parametrization of elliptic curves, lattices. Fundamental group for the anharmonic and the modular group.

 

Functional equation of the theta function. Holomorphic modular forms, application to the Four Square Theorem.

literature

 

form of tuition

Lectures

mode of assessment

oral exam