Subconvexity of twisted Shintani zeta functions

DOI10.1016/j.jnt.2024.07.008MaRDI QIDQ6623030

Robert D. Hough, Eun Hye Lee

Publication date: 23 October 2024

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

zeta functionsubconvexityprehomogeneous vector spaceoscillatory integralMaass formspace of latticescubic ring

Mathematics Subject Classification ID

Algebraic field extensions (12F05) Asymptotic results on counting functions for algebraic and topological structures (11N45) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Harmonic analysis on homogeneous spaces (43A85) Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Lattices and convex bodies (number-theoretic aspects) (11H06) Other Dirichlet series and zeta functions (11M41) Automorphic forms, one variable (11F12) Other results on the distribution of values or the characterization of arithmetic functions (11N64)

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