## Abstract In this paper we establish a class of arithmetical Fourier series as a manifestation of the intermediate modular relation, which is equivalent to the functional equation of the relevant zetaβfunctions. One of the examples is the one given by Riemann as an example of a continuous nonβdif
Arithmetical Functions and Minimalization
β Scribed by George S. Boolos
- Publisher
- John Wiley and Sons
- Year
- 1974
- Tongue
- English
- Weight
- 107 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0044-3050
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π SIMILAR VOLUMES
## Abstract It is shown that the feasibly constructive arithmetic theory IPV does not prove (double negation of) LMIN(NP), unless the polynomial hierarchy CPVβprovably collapses. It is proved that PV plus (double negation of) LMIN(NP) intuitionistically proves PIND(coNP). It is observed that PV + P
## Abstract This paper concerns intermediate structure lattices Lt(π©/β³οΈ), where π© is an almost minimal elementary end extension of the model β³οΈ of Peano Arithmetic. For the purposes of this abstract only, let us say that β³οΈ attains __L__ if __L__ β Lt(π©/β³οΈ) for some almost minimal elementary end ex
Hfijek, P., Epistemic entrenchment and arithmetical hierarchy (Research Note), Artificial Intelligence 62 (1993) 79-87. If the underlying theory is sufficiently rich (e.g. like first-order arithmetic), then no epistemic entrenchment preorder of sentences is recursively enumerable. Consequently, the