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The Role Of Potential Theory In Complex Dynamics
(2014-04-07)
Potential theory is the name given to the broad field of analysis encompassing such topics as harmonic and subharmonic functions, the Dirichlet problem, Green’s functions, potentials and capacity. In this text, our main ...
Fourier Analysis On Number Fields And The Global Zeta Functions
(2014-08-04)
The study of zeta functions is one of the primary aspects of modern number theory. Hecke was the first to prove that the Dedekind zeta function of any algebraic number field has an analytic continuation over the whole plane ...