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On a Criterion for Catalan's Conjecture |
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| Authors: | Puchta Jan-Christoph |
| Institution: | (1) Mathematisches Institut, Eckerstraße 1, 79104 Freiburg, Germany |
| Abstract: | We give a new proof of a theorem of P. Mihailescu which states that the equation x
p – y
q = 1 is unsolvable with x, y integral and p, q odd primes, unless the congruences p
q  p (mod q
2) and q
p q (mod p
2) hold. |
| Keywords: | Catalan's conjecture cyclotomic fields class group |
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