Sign Changes of Fourier Coefficients of Cusp Forms of Half-Integral Weight Over Split and Inert Primes in Quadratic Number Fields

Author:

He Zilong,Kane BenORCID

Funder

Research Grants Council, University Grants Committee

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory

Reference17 articles.

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2. Atkin, A., Lehner, J.: Hecke operators on $$\Gamma _0(m)$$. Math. Ann. 185, 134–160 (1970)

3. Bruinier, J., Kohnen, W.: Sign changes of coefficients of half integral weight modular forms in: Modular forms on Schiermonnikoong (eds. B. Edixhoven et. al.), 57–66, Cambridge Univ. Press, (2008)

4. Deligne, P.: La conjecture de Weil I. Publ. Math. Inst. Hautes Études Sci. 43, 273–307 (1974)

5. Duke, W., Schulze-Pillot, R.: Representation of integers by positive ternary quadratic forms and equidistribution of lattice points on ellipsoids. Invent. Math. 99, 49–57 (1990)

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