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Date: 13-3-2019
1072
Date: 13-3-2019
2505
Date: 13-3-2019
1106
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A theorem which asserts that if a sequence or function behaves regularly, then some average of it behaves regularly. For example,
implies
for any . The converse is false, but can be made into a correct Tauberian theorem if is subjected to an appropriate additional condition (Hardy 1999, p. 46).
REFERENCES:
Hardy, G. H. Ramanujan: Twelve Lectures on Subjects Suggested by His Life and Work, 3rd ed. New York: Chelsea, p. 46, 1999.
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