Some proofs of undecidability of arithmetic
Andrzej Grzegorczyk (1956)
Fundamenta Mathematicae
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Displaying similar documents to “Textes & documents - A new source for medieval mathematics in the iberian peninsula: the commercial arithmetic in Ms 10106 (Biblioteca Nacional, Madrid)”
Some proofs of undecidability of arithmetic
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(2009)
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M. Artigue, E. Isambert, M. Perrin, A. Zalc (1978)
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Antonio Montalbán, Richard A. Shore (2016)
Fundamenta Mathematicae
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We investigate the reverse mathematical strength of Turing determinacy up to Σ₅⁰, which is itself not provable in second order arithmetic.
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Abercrombie Alex G., Banks William D., Shparlinski Igor E. (2009)
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On non-intersecting arithmetic progressions
Ernest S. Croot III (2003)
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Qing-Zhong Ji (2011)
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On the correlation of the truncated Liouville function
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Sums of multiplicative function in special arithmetic progressions
Bin Feng (2019)
Czechoslovak Mathematical Journal
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We find, via the Selberg-Delange method, an asymptotic formula for the mean of arithmetic functions on certain APs. It generalizes a result due to Cui and Wu (2014).