Sign changes in restricted coefficients of Hilbert modular forms

DOI10.1007/s11139-022-00594-0zbMath1498.11130OpenAlexW4281645982MaRDI QIDQ2097520

Rishabh Agnihotri, Krishnarjun Krishnamoorthy, Kalyan Chakraborty

Publication date: 14 November 2022

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-022-00594-0

zbMATH Keywords

Hilbert modular formsarithmetic progressionssign changessquare-free coefficients

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A short note on sign changes
• Sign changes of Fourier coefficients of Hilbert modular forms
• On the signs of Fourier coefficients of Hilbert cusp forms
• Simultaneous sign change of Fourier-coefficients of two cusp forms
• Oscillations of Fourier coefficients of modular forms
• The special values of the zeta functions associated with Hilbert modular forms
• Simultaneous behaviour of the Fourier coefficients of two Hilbert modular cusp forms
• A note on signs of Fourier coefficients of two cusp forms
• On the Fourier coefficients of certain Hilbert modular forms
• THE SIGN OF FOURIER COEFFICIENTS OF HALF-INTEGRAL WEIGHT CUSP FORMS
• Sign changes of Fourier coefficients of cusp forms supported on prime power indices
• On modular signs
• Twists of Hilbert Modular Forms
• Sign changes of Fourier coefficients of half-integral weight cusp forms

This page was built for publication: Sign changes in restricted coefficients of Hilbert modular forms