Bounds on sup-norms of half-integral weight modular forms

• Autorzy: Eren Mehmet Kıral
• Języki publikacji: EN

Abstrakty

EN

Bounding sup-norms of modular forms in terms of the level has been the focus of much recent study. In this work the sup-norm of a half-integral weight cusp form is bounded in terms of the level: we prove that $||y^{κ/2}f̃||_∞ ≪ _{ε,κ} N^{1/2 - 1/18 +ε}||y^{κ/2}f̃||_{L^2}$ for a modular form f̃ of level 4N and weight κ, a half-integer.

Kategorie tematyczne

• 11F37: Forms of half-integer weight; nonholomorphic modular forms
• 11F03: Modular and automorphic functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2014
• Tom: 165
• Numer: 4
• Strony: 385-399

Daty

wydano

2014

Twórcy

autor

Eren Mehmet Kıral

• Brown University, 151 Thayer Street, Providence, RI 02912, U.S.A.

Identyfikatory

DOI

10.4064/aa165-4-7