An arithmetic interpretation of a three-term identity from the theta functions theory

M. D. Monina

Institute for Applied Mathematics, Khabarovsk Division, Far-Eastern Branch of the Russian Academy of Sciences

Abstract: The article offers the proof of a three-term identity from the theta functions theory, based on Liouville's arithmetical methods.

Key words: elliptic function, theta function, Liouville's methods, three-term identity.

UDC: 519.116 + 511.556

MSC: Primary 11F20; Secondary 11F27

Received: 18.09.2014