Author:
Bajpai Jitendra,Bhakta Subham,García Victor C.
Abstract
AbstractThe main objective of this article is to study the exponential sums associated to Fourier coefficients of modular forms supported at numbers having a fixed set of prime factors. This is achieved by establishing an improvement on Shparlinski’s bound for exponential sums attached to certain linear recurrence sequences over finite fields.
Funder
Georg-August-Universität Göttingen
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory
Reference27 articles.
1. Barnet-Lamb, T., Geraghty, D., Harris, M., Taylor, R.: A family of Calabi–Yau varieties and potential automorphy II. Publ. Res. Inst. Math. Sci. 47(1), 29–98 (2011)
2. Bourgain, J.: Mordell’s exponential sum estimate revisited. J. Am. Math. Soc. 18(2), 477–499 (2005)
3. Bourgain, J., Chang, M.-C.: A Gauss sum estimate in arbitrary finite fields. C. R. Math. Acad. Sci. Paris 342(9), 643–646 (2006)
4. Bourgain, J., Glibichuk, A.A., Konyagin, S.V.: Estimates for the number of sums and products and for exponential sums in fields of prime order. J. Lond. Math. Soc. (2) 73(2), 380–398 (2006)
5. Diamond, F., Shurman, J.: A first course in modular forms, volume 228 of Graduate Texts in Mathematics. Springer, New York (2005)
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献