Two congruences for Appell–Lerch sums
Two congruences are proved for an infinite family of Appell–Lerch sums. As corollaries, special cases imply congruences for some of the mock theta functions of order two, six and eight.
| Main Authors: | , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2013
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| Online Access: | https://hdl.handle.net/10356/96845 http://hdl.handle.net/10220/11605 |
| _version_ | 1811696373173583872 |
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| author | Chan, Song Heng Mao, Renrong |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Chan, Song Heng Mao, Renrong |
| author_sort | Chan, Song Heng |
| collection | NTU |
| description | Two congruences are proved for an infinite family of Appell–Lerch sums. As corollaries, special cases imply congruences for some of the mock theta functions of order two, six and eight. |
| first_indexed | 2024-10-01T07:38:20Z |
| format | Journal Article |
| id | ntu-10356/96845 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T07:38:20Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | ntu-10356/968452020-03-07T12:37:08Z Two congruences for Appell–Lerch sums Chan, Song Heng Mao, Renrong School of Physical and Mathematical Sciences Two congruences are proved for an infinite family of Appell–Lerch sums. As corollaries, special cases imply congruences for some of the mock theta functions of order two, six and eight. 2013-07-16T08:06:34Z 2019-12-06T19:35:40Z 2013-07-16T08:06:34Z 2019-12-06T19:35:40Z 2012 2012 Journal Article Chan, S. H., & Mao, R. (2012). Two Congruences For Appell–Lerch Sums. International Journal of Number Theory, 08(1), 111-123. https://hdl.handle.net/10356/96845 http://hdl.handle.net/10220/11605 10.1142/S1793042112500066 en International journal of number theory © 2012 World Scientific Publishing Company. |
| spellingShingle | Chan, Song Heng Mao, Renrong Two congruences for Appell–Lerch sums |
| title | Two congruences for Appell–Lerch sums |
| title_full | Two congruences for Appell–Lerch sums |
| title_fullStr | Two congruences for Appell–Lerch sums |
| title_full_unstemmed | Two congruences for Appell–Lerch sums |
| title_short | Two congruences for Appell–Lerch sums |
| title_sort | two congruences for appell lerch sums |
| url | https://hdl.handle.net/10356/96845 http://hdl.handle.net/10220/11605 |
| work_keys_str_mv | AT chansongheng twocongruencesforappelllerchsums AT maorenrong twocongruencesforappelllerchsums |