- In
number theory,
Tijdeman's theorem states that
there are at most a
finite number of
consecutive powers.
Stated another way, the set of
solutions in integers...
-
Tijdeman (born 30 July 1943 in Oostzaan,
North Holland) is a
Dutch mathematician.
Specializing in
number theory, he is best
known for his
Tijdeman's theorem...
-
referred to as a
generalized Fermat equation, the
Mauldin conjecture, and the
Tijdeman-Zagier conjecture. To illustrate, the
solution 3 3 + 6 3 = 3 5 {\displaystyle...
-
simple zeros. A
generalization of
Tijdeman's theorem concerning the
number of
solutions of ym = xn + k (
Tijdeman's theorem answers the case k = 1), and...
- when Victor-Amédée
Lebesgue dealt with the case b = 2. In 1976,
Robert Tijdeman applied Baker's
method in
transcendence theory to
establish a
bound on...
- {\displaystyle x^{2}+1=y^{n}} has no
nontrivial solutions.
Results of S****y and
Tijdeman imply that the
number of
solutions in each case is finite. Bugeaud, Mignotte...
- H.J.J. "Perfect
Numbers and
Aliquot Sequences" in H.W.
Lenstra and R.
Tijdeman (eds.): Com****tional
Methods in
Number Theory, Vol. 154, Amsterdam, 1982...
- = k. The Beal conjecture, also
known as the
Mauldin conjecture and the
Tijdeman-Zagier conjecture,
states that
there are no
solutions to the generalized...
- with a
large prime factor, II Acta Arith. 25(1973/74). S****y, T. N.;
Tijdeman, R. "On the
greatest prime factor of an
arithmetical progression". A Tribute...
- Prouhet–Tarry–Escott
problem has been
introduced and
studied by
Andreas Alpers and
Robert Tijdeman in 2007:
Given parameters n , k ∈ N {\displaystyle n,k\in \mathbb {N} }...