Rankin-Selberg coefficients in large arithmetic progressions

DOI10.1007/s11425-023-2155-6arXiv2304.08231MaRDI QIDQ6146126

Yongxiao Lin, Emmanuel Kowalski, Philippe Michel

Publication date: 10 January 2024

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.08231

zbMATH Keywords

arithmetic progressionsRankin-Selberg \(L\)-functions\(\delta\)-method

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Applications of automorphic functions and forms to multiplicative problems (11N75)

Cites Work

• Unnamed Item
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• Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116)
• Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
• Stratification and averaging for exponential sums: bilinear forms with generalized Kloosterman sums
• ON THE EXPONENT OF DISTRIBUTION OF THE TERNARY DIVISOR FUNCTION
• PERIODIC TWISTS OF -AUTOMORPHIC FORMS
• The divisor problem for arithmetic progressions
• Algebraic twists of GL3 × GL2 L-functions

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