Somos Sequence Near-Addition Formulas and Modular Theta Functions
R. Wm. Gosper, Rich Schroeppel
TL;DR
This paper explores conjectural near-addition formulas for Somos sequences and presents preliminary evidence for the existence of associated modular theta functions.
Contribution
It introduces conjectural near-addition formulas for Somos sequences and provides initial evidence linking them to modular theta functions.
Findings
Proposed conjectural near-addition formulas for Somos sequences
Preliminary evidence for modular theta functions related to Somos sequences
Potential connections between Somos sequences and modular forms
Abstract
We have discovered conjectural near-addition formulas for Somos sequences. We have preliminary evidence suggesting the existence of modular theta functions.
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Taxonomy
TopicsAdvanced Mathematical Identities