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Page:On the expression of a number.djvu/3

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Page:On the expression of a number.djvu/4

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$25^{\lambda }(25\mu +10)$ or $25^{\lambda }(25\mu +15)$ [1]

(3·71).

1. Results (3·11)—(3·71) may tempt us to suppose that there are similar simple results for the form $ax^{2}+by^{2}+cz^{2}$, whatever are the values of $a$, $b$, $c$. It appears, however, that in most cases there are no such simple results. For instance, Page:On the expression of a number.djvu/4

x

$25^{\lambda }(25\mu +10)$ or $25^{\lambda }(25\mu +15)$ [1]

(3·71).

1. Results (3·11)—(3·71) may tempt us to suppose that there are similar simple results for the form $ax^{2}+by^{2}+cz^{2}$, whatever are the values of $a$, $b$, $c$. It appears, however, that in most cases there are no such simple results. For instance, Page:On the expression of a number.djvu/4

s

$25^{\lambda }(25\mu +10)$ or $25^{\lambda }(25\mu +15)$ [1]

(3·71).

1. Results (3·11)—(3·71) may tempt us to suppose that there are similar simple results for the form $ax^{2}+by^{2}+cz^{2}$, whatever are the values of $a$, $b$, $c$. It appears, however, that in most cases there are no such simple results. For instance, Page:On the expression of a number.djvu/4