The Madison Colloquium 1913 I On Invariants And the Theory of Numbers

Cover The Madison Colloquium 1913 I On Invariants And the Theory of Numbers
The Madison Colloquium 1913 I On Invariants And the Theory of Numbers
Wis American Mathematical Society Colloquium 7th 1
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If t is the coefficient of J in 7i, 0361 occurs in (87) only in iaiJ and in the final part, being multiplied by tttiaibz and koai 1 by a linear function of KL^, AKL"^.
24. For m = 1, n = Av, we may delete aoli from (85) by use of IiKQ2\ Set /i = 5a-2" + h ^nXs". Then (51) replaces (76) by R' = USXz" + SiXz^-'Xi + (Si + S2)Xz--W +•••] + ^3/3 + (^1 + ^3)[Bn{Xz- + XZ--W + • • •) + Bn-lXiiXz^-"^ + Xz^-^Xi H )] + (. Tl. T2. T3 + Xi^X^W.
Since Si is the increment of ^2, it is a linear combination of
...the functions (74). By use of L^~^Qi, L'^~^K^ and their products by A and A, we may, without disturbing S, delete from Si 63+q:iq;2+1, Abz, A+b^A+bzaiai, 02(^3+1), 02A(63+1).

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