ON THE DISTRIBUTION OF -FREE NUMBERS AND NON-VANISHING FOURIER COEFFICIENTS OF CUSP FORMS
2012 ◽
Vol 54
(2)
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pp. 381-397
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AbstractWe study properties of -free numbers, that is numbers that are not divisible by any member of a set . First we formulate the most-used procedure for finding them (in a given set of integers) as easy-to-apply propositions. Then we use the propositions to consider Diophantine properties of -free numbers and their distribution on almost all short intervals. Results on -free numbers have implications to non-vanishing Fourier coefficients of cusp forms, so this work also gives information about them.
2014 ◽
Vol 10
(08)
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pp. 1921-1927
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2018 ◽
Vol 166
(1)
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pp. 173-189
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2019 ◽
Vol 15
(04)
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pp. 713-722
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Keyword(s):
2017 ◽
Vol 139
(1)
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pp. 1-55
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2013 ◽
Vol 100
(3)
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pp. 255-265
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