Hecke–Shimura Rings of Double Cosets

  • Anatoli AndrianovEmail author
Part of the Universitext book series (UTX)

3.1 An Approach to Multiplicativity

Numerous classical formulas for the numbers of integral representations of integers by integral quadratic forms often show remarkable multiplicative features. Thus, for example, Jacobi’s formula for the number of representations r 4( m) of an odd integer m as the sum of four of integer squares,
$$r_4(m) = 8 \sum\limits_{d|m} d,$$

Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.Russian Academy of SciencesSteklov Institute of MathematicsPetersburgRussia

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