Eta Products

  • Günter Köhler
Part of the Springer Monographs in Mathematics book series (SMM)


By an eta product we understand any finite product of functions
$$f(z) = \prod_{m} \eta(mz)^{a_m}$$
where m runs through a finite set of positive integers and the exponents a m may take any values from ℤ, positive or negative or 0. (Of course, an exponent 0 contributes a trivial factor 1 to the product, and therefore we may as well assume that a m ≠0 for all m.) Since the product is finite, the lowest common multiple N=lcm {m} exists, and every m divides N.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Institute of MathematicsUniversity of WürzburgWürzburgGermany

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