• Corpus ID: 116918135

# A Physical Approach to Polya's Conjecture

@article{Wang2011APA,
title={A Physical Approach to Polya's Conjecture},
author={Jingbo Wang},
journal={arXiv: Mathematical Physics},
year={2011}
}
• Jingbo Wang
• Published 3 January 2011
• Mathematics
• arXiv: Mathematical Physics
The similarity between the Polya's conjecture and the Bonomol'nyi bound remind us to consider a physical approach to Polya's conjecture. We conjecture a duality between the waves and the soliton solutions on the surface. We consider the special case in the disc.

## References

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Wecontinue our study of classical topological solitons in nonlinear sigma models, focusing on the stability and scattering properties of the CP1 model on the plane
AbstractIf λk is thekth eigenvalue for the Dirichlet boundary problem on a bounded domain in ℝn, H. Weyl's asymptotic formula asserts that \lambda _k \sim C_n \left( {\frac{k}{{V(D)}}}