期刊论文详细信息
JOURNAL OF GEOMETRY AND PHYSICS 卷:104
Theta vocabulary II. Multidimensional case
Review
Kharchev, S.1,2  Zabrodin, A.1,3 
[1] Inst Theoret & Expt Phys, Moscow 117259, Russia
[2] Inst Informat Transmiss Problems, Moscow 127994, Russia
[3] Natl Res Univ, Higher Sch Econ, Int Lab Representat Theory & Math Phys, 20 Myasnitskaya Ulitsa, Moscow 101000, Russia
关键词: Riemann theta functions;    Identities for theta functions;    Riemann identities;   
DOI  :  10.1016/j.geomphys.2015.12.009
来源: Elsevier
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【 摘 要 】

It is shown that the Jacobi and Riemann identities of degree four for the multidimensional theta functions as well as the Weierstrass identities emerge as algebraic consequences of the fundamental multidimensional binary identities connecting the theta functions with Riemann matrices tau and 2 tau. (C) 2016 Elsevier B.V. All rights reserved.

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