On character sums and class numbers

DOI10.1016/0022-314X(73)90045-0zbMath0257.10015MaRDI QIDQ2559502

Matti Jutila

Publication date: 1973

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

Mathematics Subject Classification ID

Quadratic extensions (11R11) (zeta (s)) and (L(s, chi)) (11M06) Class numbers, class groups, discriminants (11R29) Estimates on character sums (11L40)

Related Items (13)

Values of Dirichlet series associated with modular forms at the points \(s=1/2\), 1 ⋮ Elliptic curves in isogeny classes ⋮ On zeros of cubic \(L\)-functions ⋮ Distribution of lattice points on surfaces of second order ⋮ The moments and statistical distribution of class numbers of quadratic fields with prime discriminant ⋮ Mean values of some Hecke characters ⋮ Elementary method for estimating complex moments of \(L(1,\chi_n)\) ⋮ On the distribution of integral points on cones ⋮ Mean values of divisors twisted by quadratic characters ⋮ An elliptic curve test of the \(L\)-functions ratios conjecture ⋮ The distribution of Dirichlet \(L\)-functions with real characters in the half-plane \(Re\) \(s>{1\over 2}\). ⋮ The moments of \(L(1,\chi_m)\) in arithmetic progressions ⋮ Functional distribution of 𝐿(𝑠,𝜒_{𝑑}) with real characters and denseness of quadratic class numbers

Cites Work

• Moments of the number of classes of primitive quadratic forms with negative discriminant
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