Hardy's theorem for zeta-function of quadratic forms

DOI10.1007/BF02867431zbMath0864.11044MaRDI QIDQ1126310

K. Ramachandra, Ayyadurai Sankaranarayanan

Publication date: 22 June 1997

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

functional equationmean valuesHardy's theorempositive definite quadratic form in many variableszeta-functions of quadratic forms

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Other Dirichlet series and zeta functions (11M41)

Related Items

Extremal values of the Epstein zeta functions, On the zeros of the zeta function of the Leech lattice, Lattice points in multidimensional balls, On Epstein's zeta function. II, On Riesz means of the coefficients of Epstein's zeta functions, On the zeros of the zeta function of one ternary quadratic form, Lattice points in the circle and sphere, On the zeros of the zeta function of the quadratic form $x^2+y^2+z^2$

Cites Work

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• L-functions and character sums for quadratic forms (I)