Two exponential diophantine equations

Dominik J. Leitner

Displaying similar documents to “Two exponential diophantine equations”

A note on the diophantine equation $(x^{2} - 1) (y^{2} - 1) = {(z^{2} - 1)}^{2}$

Huaming Wu, Maohua Le (1996)

Colloquium Mathematicae

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Square Lehmer numbers

Wayne McDaniel (1993)

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On integers not of the form n - φ (n)

J. Browkin, A. Schinzel (1995)

Colloquium Mathematicae

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W. Sierpiński asked in 1959 (see [4], pp. 200-201, cf. [2]) whether there exist infinitely many positive integers not of the form n - φ(n), where φ is the Euler function. We answer this question in the affirmative by proving Theorem. None of the numbers $2^{k} \cdot 509203$ (k = 1, 2,...) is of the form n - φ(n).

A note on primes p with $σ (p^{m}) = z^{n}$

Maohua Le (1991)

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The diophantine equation x² + 19 = yⁿ

J. H. E. Cohn (1992)

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Quasi-identities of congruence-distributive quasivarieties of algebras.

Nurakunov, A.M. (2001)

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Modular forms and class number congruences

Antone Costa (1992)

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Modified proof of a local analogue of the Grothendieck conjecture

Victor Abrashkin (2010)

Journal de Théorie des Nombres de Bordeaux

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A local analogue of the Grothendieck Conjecture is an equivalence between the category of complete discrete valuation fields $K$ with finite residue fields of characteristic $p \neq 0$ and the category of absolute Galois groups of fields $K$ together with their ramification filtrations. The case of characteristic 0 fields $K$ was studied by Mochizuki several years ago. Then the author of this paper proved it by a different method in the case $p > 2$ (but with no restrictions on the characteristic of $K$ )....