On the number of solutions of the Diophantine equation of Frobenius - General case

Komatsu, T.

Mathematical Communications, Vol. 8 No. 2, 2003.

Izvorni znanstveni članak

On the number of solutions of the Diophantine equation of Frobenius - General case

T. Komatsu

Puni tekst: engleski pdf 150 Kb

str. 195-206

preuzimanja: 2.059

citiraj

APA 6th Edition

Komatsu, T. (2003). On the number of solutions of the Diophantine equation of Frobenius - General case. Mathematical Communications, 8 (2), 195-206. Preuzeto s https://hrcak.srce.hr/730

MLA 8th Edition

Komatsu, T.. "On the number of solutions of the Diophantine equation of Frobenius - General case." Mathematical Communications, vol. 8, br. 2, 2003, str. 195-206. https://hrcak.srce.hr/730. Citirano 02.04.2025.

Chicago 17th Edition

Komatsu, T.. "On the number of solutions of the Diophantine equation of Frobenius - General case." Mathematical Communications 8, br. 2 (2003): 195-206. https://hrcak.srce.hr/730

Harvard

Komatsu, T. (2003). 'On the number of solutions of the Diophantine equation of Frobenius - General case', Mathematical Communications, 8(2), str. 195-206. Preuzeto s: https://hrcak.srce.hr/730 (Datum pristupa: 02.04.2025.)

Vancouver

Komatsu T. On the number of solutions of the Diophantine equation of Frobenius - General case. Mathematical Communications [Internet]. 2003 [pristupljeno 02.04.2025.];8(2):195-206. Dostupno na: https://hrcak.srce.hr/730

IEEE

T. Komatsu, "On the number of solutions of the Diophantine equation of Frobenius - General case", Mathematical Communications, vol.8, br. 2, str. 195-206, 2003. [Online]. Dostupno na: https://hrcak.srce.hr/730. [Citirano: 02.04.2025.]

Sažetak

We determine the number of solutions of the equation $a_{1} x_{1} + a_{2} x_{2} + \dots + a_{m} x_{m} = b$ in non-negative integers $x_{1}$ , $x_{2}$ ,
$\dots$ , $x_{n}$ . If $m = 2$ , then the largest $b$ for which no
solution exists is $a_{1} a_{2} - a_{1} - a_{2}$ , and an explicit formula for
the number of solutions is known. In this paper we give the method
for computing the desired number. The method is illustrated with
several examples.

Ključne riječi

Diophantine problem of Frobenius; number of solutions

Hrčak ID:

730

URI

https://hrcak.srce.hr/730

Datum izdavanja:

22.12.2003.

Posjeta: 2.920 *

Prijava i registracija

Mathematical Communications, Vol. 8 No. 2, 2003.

Sažetak

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Hrčak ID:

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