Erweiterung dreielementiger Basen bei konstanter Frobeniuszahl.

Kirfel, Christoph

doi:10.7146/math.scand.a-12061

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Introduction and Statement Of Results2

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2019

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Cited by 3 publications

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“…Mendelsohn [2] was the first to show that this is impossible for k=2. Kirfel [1] determined a condition under which g(X 3 , c) = g(X 3 ). As Selmer himself pointed out, we can add a new term c=a+kd (assuming k<a) to the arithmetic sequence (3) without altering g if…”

Section: Introduction and Statement Of Resultsmentioning

confidence: 99%

See 1 more Smart Citation

On a Linear Diophantine Problem of Frobenius: Extending the Basis

Ritter

1998

Journal of Number Theory

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Section: Introduction and Statement Of Resultsmentioning

confidence: 99%

“…The Frobenius number g(X k ) of X k is the greatest integer with no such representation (1), and exists since gcd(X k )=1. For k=2, it is well known that g(a 1 , a 2 )=a 1 a 2 &a 1 &a 2 .…”

Section: Introduction and Statement Of Resultsmentioning

confidence: 99%