The purpose of this paper is to present a certain Lipschitz‐type formula and its generalization via Mellin‐Barnes type integrals. We introduce a double Eisenstein series defined on the pair of the upper and lower half planes, and show their transformation properties by using the generalized Lipschitz‐type formulae.
Topics
Eisenstein series
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© 2011 American Institute of Physics.
2011
American Institute of Physics
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