Sums of squares of integers in arithmetic progression
Keyword(s):
The following striking identitiesare the cases n = 1,2,3,4 of a remarkable family given by G.J. Dostor [1]:where m = n(2n + 1), and n = 1, 2, … The case m = −n is trivial. If m ≠ −n there are n + 1 squares of consecutive integers on the left and n on the right. We will treat the last term (m + n)2 on the left differently, and refer to it as a transition term relating two sums of squares of n consecutive integers.
1968 ◽
Vol 26
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pp. 292-293
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1920 ◽
Vol 10
(2)
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pp. 161-169
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1979 ◽
Vol 31
(3)
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pp. 604-616
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1990 ◽
Vol 42
(2)
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pp. 315-341
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1983 ◽
Vol 15
(01)
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pp. 54-80
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1947 ◽
Vol 43
(2)
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pp. 137-152
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1944 ◽
Vol 40
(3)
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pp. 253-255
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