Schinzel’s conjecture and divisibility of class number
Stanislav Jakubec (2003)
Mathematica Slovaca
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Displaying similar documents to “A note on pseudoprimes with respect to abelian linear recurring sequence”
Schinzel’s conjecture and divisibility of class number
Remarks on the paper "Sur certaines hypothèses concernant les nombres premiers"
Andrzej Schinzel (1961)
Acta Arithmetica
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On a conjecture concerning sequences of the third order
Stanislav Jakubec, Karol Nemoga (1986)
Mathematica Slovaca
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Schinzel's conjecture H and divisibility in abelian linear recurring sequences
F. Marko (1990)
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A negative answer to two questions about the smallest prime numbers having given digital sums.
Müller, Tom (2005)
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On Tate’s refinement for a conjecture of Gross and its generalization
Noboru Aoki (2004)
Journal de Théorie des Nombres de Bordeaux
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We study Tate’s refinement for a conjecture of Gross on the values of abelian -function at and formulate its generalization to arbitrary cyclic extensions. We prove that our generalized conjecture is true in the case of number fields. This in particular implies that Tate’s refinement is true for any number field.