Characterization of groups of involutions by means of composite functional equations in two variables

Author(s):  
I. Pinelis
2018 ◽  
Vol 14 (05) ◽  
pp. 1247-1256
Author(s):  
Bernhard Heim

We investigate the interplay between multiplicative Hecke operators, including bad primes, and the characterization of modular forms studied by Hecke. The operators are applied on periodic functions, which lead to functional equations characterizing certain eta-quotients. This can be considered as a prototype for functional equations in the more general context of Borcherds products.


2001 ◽  
Vol 62 (1) ◽  
pp. 184-191 ◽  
Author(s):  
F. Halter-Koch ◽  
L. Reich
Keyword(s):  

2009 ◽  
Vol 78 (1-2) ◽  
pp. 87-99 ◽  
Author(s):  
Károly Lajkó ◽  
Fruzsina Mészáros

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