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Theta Functions   &   Elliptic Functions

(2016-12-01)  
The basic idea.

(2016-12-07)  

(2016-12-07)  
Canonical forms for elliptic integrals.

(2016-15-05)  
Functions with two periods.

(2016-11-30)  
Elliptic functions.

(2016-12-01)     (L.J. Rogers,  1894, 1917)

(2016-12-02)  

(2016-12-02)  
Not to be confused with his later mock theta functions.

(2016-12-01)     (S. Ramanujan, 1920)
The major preoccupation of Ramanujan in his last days.

Three months before he died, Ramanujan coined the term mock theta functions  in his last letter to G.H. Hardy (January 1920)  ntroducing  17  of them.  In his lost notebook (uncovered by George Andrews in 1976)  3 other such functions appear,  although not identified as such.

(2016-12-07)