The Restriction of Octonionic Theta Constants to the Quaternionic Half-Space
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The paper describes the behaviour of octonionic theta constants under the restriction to the quaternionic half-space. As a result one can prove that the vector space, which is spanned by all restricted octonionic theta constants, coincides with the vector space spanned by quaternionic theta series of first respectively second kind.
KeywordsTheta Constants Theta Series Vector Space Hurwitz Quaternions Maximum Order
The authors would like to thank the referee for valuable suggestions.
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