CONSTRUCTION OF EISENSTEIN SERIES FOR Γ0(p)
2009 ◽
Vol 05
(05)
◽
pp. 765-778
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Keyword(s):
A simple construction of Eisenstein series for the congruence subgroup Γ0(p) is given. The construction makes use of the Jacobi triple product identity and Gauss sums, but does not use the modular transformation for the Dedekind eta-function. All positive integral weights are handled in the same way, and the conditionally convergent cases of weights 1 and 2 present no extra difficulty.
2007 ◽
Vol 135
(07)
◽
pp. 1987-1993
◽
Keyword(s):
1987 ◽
Vol 10
(3)
◽
pp. 545-549
Keyword(s):
Keyword(s):
1993 ◽
Vol 9
(1)
◽
pp. 24-26
◽