×

zbMATH — the first resource for mathematics

On the zeros of Eisenstein series. (English) Zbl 0203.35504
K. Wohlfahrt [Math. Nachr. 26, 381–383 (1964; Zbl 0126.07703)] and R. A. Rankin [Publ. Ramanujan Inst. 1 (1968/69), 137–144 (1969; Zbl 0198.06901)] showed that the zeros of the Eisenstein series \(E_(\tau)\) of dimension \(-k\) (for the full modular group) lie on the unit circle, or on a transform of this circle, for even \(k\leq 34\). The authors prove by simple arguments that this holds for all even \(k\).
Reviewer: F. K. C. Rankin

PDF BibTeX Cite
Full Text: DOI