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Showing 1 to 5 of 5 for “"Infinite Products"”.
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D-spaces in infinite products of ordinals
1 PDF file (v, 18 pages)
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Examples in the symbolic calculus for measures
… circle group, the groups of p-adic integers, and infinite products of finite abelian groups are treated in detail. In the third case it is necessary to distinguish the case where the orders of the groups in the product are bounded. Finally a general statement for all locally compact abelian groups …
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Contributions to Trigonometric Sums and Fifth -Order Mock Theta Functions
… the residues of all the simple poles of certain infinite products. We explain how the method may be applied to obtain new identities of a similar type. The main ingredient in our proofs is a lemma of A. O. L. Atkin and P. Swinnerton-Dyer."
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Approximations by means of continued fractions
… field. The equivalence of continued fractions to infinite products and to series expansions was recognised early in their study. Series expansions proved most convenient at that time, the other two forms being relatively neglected until more powerful computing aids were developed. Modern function …