AN INTRODUCTION TO THE LINNIK PROBLEMS

DOI10.1007/978-1-4020-5404-4_10zbMath1177.11034OpenAlexW2118549325MaRDI QIDQ5457475

William Duke

Publication date: 14 April 2008

Published in: NATO Science Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4020-5404-4_10

zbMATH Keywords

Heegner pointsternary quadratic formsMaass formssingular moduliforms of half-integer weightsubconvexity bounds

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Forms of half-integer weight; nonholomorphic modular forms (11F37) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Quadratic forms over global rings and fields (11E12) Gauss and Kloosterman sums; generalizations (11L05) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Fourier coefficients of automorphic forms (11F30) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Representation problems (11D85)

Related Items

Dissipative continuous Euler flows ⋮ Effective equidistribution of lattice points in positive characteristic ⋮ The asymptotic distribution of traces of Maass-Poincaré series ⋮ Arithmetic and analysis of the series \(\sum_{n=1}^{\infty} \frac{1}{n} \sin \frac{x}{n} \). II ⋮ The asymptotic distribution of traces of cycle integrals of the \(j\)-function ⋮ Nodal area distribution for arithmetic random waves