The origins of the cubic and biquadratic reciprocity laws
β Scribed by Mary Joan Collison
- Publisher
- Springer-Verlag
- Year
- 1977
- Tongue
- English
- Weight
- 406 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0003-9519
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Recent empirical research has uncovered regularities in ΓΏnancial uctuations. Those are: (i) the cubic law of returns: returns follow a power law distribution with exponent 3; (ii) the half cubic law of volumes: volumes follow a power law distribution with exponent 3 2 ; (iii) Approximate cubic law o
In the 1920s Hecke posed the problem of providing the analytic proof of the reciprocity law for the \(m\) th power residue symbol, along the same lines as his proof of relative quadratic reciprocity. We show that a naive approach, based on a suggestive way of generalizing Hecke \(\vartheta\)-functio