Some remarks on a paper of L. Tóth.
De Koninck, Jean-Marie, Kátai, Imre (2010)
Journal of Integer Sequences [electronic only]
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De Koninck, Jean-Marie, Kátai, Imre (2010)
Journal of Integer Sequences [electronic only]
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K. Aomoto (1992)
Banach Center Publications
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Basdevant, Anne-Laure, Singh, Arvind (2008)
Electronic Journal of Probability [electronic only]
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Yann Bugeaud, Florian Luca, Maurice Mignotte, Samir Siksek (2008)
Journal de Théorie des Nombres de Bordeaux
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The famous problem of determining all perfect powers in the Fibonacci sequence and in the Lucas sequence has recently been resolved []. The proofs of those results combine modular techniques from Wiles’ proof of Fermat’s Last Theorem with classical techniques from Baker’s theory and Diophantine approximation. In this paper, we solve the Diophantine equations , with and , for all primes and indeed for all but primes . Here the strategy of [] is not sufficient due to the sizes...
Lau, Yuk-Kam, Tsang, Kai-Man (2008)
Annales Academiae Scientiarum Fennicae. Mathematica
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Tim Browning (2011)
Journal de Théorie des Nombres de Bordeaux
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We investigate the average order of the divisor function at values of binary cubic forms that are reducible over and discuss some applications.
Linke, Yu.Yu., Sakhanenko, A.I. (2001)
Sibirskij Matematicheskij Zhurnal
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Dony, Julia, Einmahl, Uwe (2006)
Electronic Journal of Probability [electronic only]
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Marc Deléglise, Jean-Louis Nicolas, Paul Zimmermann (2008)
Journal de Théorie des Nombres de Bordeaux
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Let denote the symmetric group with letters, and the maximal order of an element of . If the standard factorization of into primes is , we define to be ; one century ago, E. Landau proved that and that, when goes to infinity, . There exists a basic algorithm to compute for ; its running time is and the needed memory is ; it allows computing up to, say, one million. We describe an algorithm to calculate for up to . The main idea is to use the...