Summability methods based on the Riemann Zeta function
1988 ◽
Vol 11
(1)
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pp. 27-36
Keyword(s):
This paper is a study of summability methods that are based on the Riemann Zeta function. A limitation theorem is proved which gives a necessary condition for a sequencexto be zeta summable. A zeta summability matrixZtassociated with a real sequencetis introduced; a necessary and sufficient condition on the sequencetsuch thatZtmapsl1tol1is established. Results comparing the strength of the zeta method to that of well-known summability methods are also investigated.
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1968 ◽
Vol 130
(1)
◽
pp. 55-55
Keyword(s):
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1994 ◽
Vol 37
(2)
◽
pp. 278-286
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2017 ◽
Vol 446
(2)
◽
pp. 1310-1327
Keyword(s):
1972 ◽
Vol s2-5
(2)
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pp. 285-288