A quadratic form with prime variables associated with Hecke eigenvalues of a cusp form

DOI10.21136/CMJ.2022.0329-21WikidataQ114046926 ScholiaQ114046926MaRDI QIDQ5878444

Guodong Hua

Publication date: 21 February 2023

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

circle methodcusp formFourier coefficient

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Fourier coefficients of automorphic forms (11F30) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Cites Work

• Sums of the triple divisor function over values of a ternary quadratic form
• Ternary quadratic form with prime variables attached to Fourier coefficients of primitive holomorphic cusp form
• Hyperbolic prime number theorem
• La conjecture de Weil. I
• On the sphere problem
• Sums of higher divisor functions
• On exponential sums over primes and application in Waring-Goldbach problem
• On divisors of a quadratic form
• Sums of the triple divisor function over values of a quaternary quadratic form
• Some problems about the ternary quadratic form m₁²+m₂²+m₃²
• THE FOURIER COEFFICIENTS OF Θ‐SERIES IN ARITHMETIC PROGRESSIONS
• The sum of divisors of a quadratic form
• ON WARING'S PROBLEM
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