Number of Nonzero Cubic Sums
The exponential sums S q a m = ∑ l = 1 q exp 2 πi al 3 + ml q − 1 are considered. For every positive integer q, closed-form expressions for the number of nonzero sums occurring among S q (a, 0), . . . , S q (a, q − 1) are found.
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| Veröffentlicht in: | Journal of mathematical sciences (New York, N.Y.) N.Y.), 2019-10, Vol.242 (4), p.575-585 |
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| Format: | Artikel |
| Sprache: | eng |
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| container_end_page | 585 |
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| container_issue | 4 |
| container_start_page | 575 |
| container_title | Journal of mathematical sciences (New York, N.Y.) |
| container_volume | 242 |
| creator | Filonov, N. D. |
| description | The exponential sums
S
q
a
m
=
∑
l
=
1
q
exp
2
πi
al
3
+
ml
q
−
1
are considered. For every positive integer q, closed-form expressions for the number of nonzero sums occurring among
S
q
(a, 0), . . . ,
S
q
(a, q
− 1) are found. |
| doi_str_mv | 10.1007/s10958-019-04497-2 |
| format | Article |
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S
q
a
m
=
∑
l
=
1
q
exp
2
πi
al
3
+
ml
q
−
1
are considered. For every positive integer q, closed-form expressions for the number of nonzero sums occurring among
S
q
(a, 0), . . . ,
S
q
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S
q
a
m
=
∑
l
=
1
q
exp
2
πi
al
3
+
ml
q
−
1
are considered. For every positive integer q, closed-form expressions for the number of nonzero sums occurring among
S
q
(a, 0), . . . ,
S
q
(a, q
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S
q
a
m
=
∑
l
=
1
q
exp
2
πi
al
3
+
ml
q
−
1
are considered. For every positive integer q, closed-form expressions for the number of nonzero sums occurring among
S
q
(a, 0), . . . ,
S
q
(a, q
− 1) are found.</abstract><cop>New York</cop><pub>Springer US</pub><doi>10.1007/s10958-019-04497-2</doi><tpages>11</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1072-3374 |
| ispartof | Journal of mathematical sciences (New York, N.Y.), 2019-10, Vol.242 (4), p.575-585 |
| issn | 1072-3374 1573-8795 |
| language | eng |
| recordid | cdi_proquest_journals_2288806962 |
| source | SpringerLink Journals - AutoHoldings |
| subjects | Mathematics Mathematics and Statistics Sums |
| title | Number of Nonzero Cubic Sums |
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