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We investigate the value-distribution of Epstein zeta-functions ζ(s; Q), where Q is a positive definite quadratic form in n variables. We prove an asymptotic formula for the number of c-values, i.e., the roots of the equation ζ(s; Q) = c, where c is any fixed complex number. Moreover, we show that, in general, these c-values are asymmetrically distributed with respect to the critical line Re s =n/4. This complements previous results on the zero-distribution.[Proceedings of the Primeras Jornadas...

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Displaying 1 – 19 of 19

On Epstein's Zeta-function.

On Even Unimodular Positive Definite Quadratic Lattices of Rank 32.

On Fourier coefficients of Siegel modular forms.

On Siegel modular forms obtained form theta series.

On the analytic theory of quadratic forms

On the asymptotics of the number of reduced integral quadratic forms with a condition of divisibility of the first coefficients.

On the Fourier coefficients of small positive powers of 0 ... .

On the L-function of quadratic forms.

On the Linear Independence of Certain Theta-Series.

On the number of representations of integers by quadratic forms in twelve variables.

On the number of representations of positive integers by quadratic forms as the basis of the space $S_{4} (Γ_{0} (47), 1)$ .

On the Poles of Andranov L-Functions.

On the representation of numbers by the direct sums of some quaternary quadratic forms.

On the representation of the integer by positive quadratic forms with square-free variables

On the Shintani zeta function for the space of binary quadratic forms.

On the value-distribution of Epstein zeta-functions.

On the Weil-Siegel formula.

On the Weil-Siegel formula II.

On theta series vanishing at ∞ and related lattices

Currently displaying 1 – 19 of 19