Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.14/44689
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- Title
- On the number of sign changes of Hecke eigenvalues of newforms
- Related
- Journal of the Australian Mathematical Society, Vol. 85, Issue 1, p.87-94
- DOI
- 10.1017/S1446788708000323
- Publisher
- Cambridge University Press
- Date
- 2008
- FoR/RFCD Code(s)
-
010101 Algebra and Number Theory
080201 Analysis of Algorithms and Complexity
080402 Data Encryption
- Author/Creator
- Kohnen, Winfried
- Author/Creator
- Lau, Yuk-Yam
- Author/Creator
- Shparlinski, Igor E
- Description
- We show that, for every x exceeding some explicit bound depending only on k and N, there are at least C(k,N)x/log ¹⁷x positive and negative coefficients a(n) with n≤x in the Fourier expansion of any non-zero cuspidal Hecke eigenform of even integral weight k≥2 and squarefree level N that is a newform, where C(k,N) depends only on k and N. From this we deduce the existence of a sign change in a short interval.
- Description
- 8 page(s)
- Subject Keyword
- 010101 Algebra and Number Theory
- Subject Keyword
- 080201 Analysis of Algorithms and Complexity
- Subject Keyword
- 080402 Data Encryption
- Subject Keyword
- Hecke eigenvalues
- Subject Keyword
- sign changes
- Resource Type
- journal article
- Organisation
- Macquarie University. Dept. of Computing
- Identifier
- http://hdl.handle.net/1959.14/44689
- Identifier
- ISSN:1446-8107
- Identifier
- mq-rm-2008000338
- Language
- eng
- Rights
- Copyright 2008 Cambridge University Press. Article originally published in Journal of the Australian Mathematical Society, Vol. 85, Iss. 1, pp. 87-94. The original article can be found at http://dx.doi.org/10.1017/S1446788708000323
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