Representation of numbers, divisible by a large square, by positive ternary quadratic forms

DOI10.1007/BF01374981zbMath0663.10015OpenAlexW2069022045MaRDI QIDQ1114732

Elena P. Golubeva

Publication date: 1988

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01374981

zbMATH Keywords

Eisenstein seriesuniform estimatesellipsoidconvex domainternary quadratic formFourier coefficientrepresentation of integers

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Quadratic forms over global rings and fields (11E12) Holomorphic modular forms of integral weight (11F11) General binary quadratic forms (11E16) Representation problems (11D85)

Cites Work

• Unnamed Item
• The application of the Shimura lifting to the representation of large numbers by ternary quadratic forms
• Uniform distribution of integral points on multidimensional ellipsoids
• Automorphic forms on covering groups of GL(2)
• Sur les coefficients de Fourier des formes modulaires de poids demi-entier
• The critical values of certain zeta functions associated with modular forms of half-integral weight
• Hecke operators on \(\Gamma_0(m)\)
• On modular forms of half integral weight
• On the Niwa-Shintani theta-kernel lifting of modular forms
• Eisenstein Series of Weight 3/2. I
• Two theorems on the class number of positive definite quadratic forms
• О представлении чисел положительными тернарными диагональными квадратичными формами, I

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