On Dirichlet series whose coefficients are class numbers of integral binary cubic forms

DOI10.2969/jmsj/02410132zbMath0223.10032OpenAlexW2009015968WikidataQ56686667 ScholiaQ56686667MaRDI QIDQ5921385

Takuro Shintani

Publication date: 1972

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/02410132

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Other Dirichlet series and zeta functions (11M41)

Related Items (17)

The equidistribution of lattice shapes of rings of integers in cubic, quartic, and quintic number fields ⋮ Singular invariant tempered distributions on regular prehomogeneous vector spaces ⋮ On a multiple Dirichlet series associated to binary cubic forms ⋮ On the density of unnormalized Tamagawa numbers of orthogonal groups III ⋮ On the Davenport-Heilbronn theorems and second order terms ⋮ On the number of integral binary n$n$‐ic forms having bounded Julia invariant ⋮ Spectral average of central values of automorphic \(L\)-functions for holomorphic cusp forms on \(\mathrm{SO}_0(m,2)\). I ⋮ The concomitants of a prehomogeneous vector space. ⋮ On the Ohno-Nakagawa theorem ⋮ On the zeta function associated with module classes of a number field ⋮ Elliptic modular forms arising from zeta functions in two variables attached to the space of binary Hermitian forms ⋮ A mean value theorem for orders of degree zero divisor class groups of quadratic extensions over a function field ⋮ \(b\)-functions of the prehomogeneous vector space arising from a cuspidal character sheaf of \(E_7\) ⋮ Non-parabolic prehomogeneous vector spaces and exceptional Lie algebras ⋮ An explicit trace formula of Jacquet-Zagier type for Hilbert modular forms ⋮ On the Shintani zeta function for the space of pairs of binary Hermitian forms ⋮ Prehomogeneous vector spaces and ergodic theory. III

This page was built for publication: On Dirichlet series whose coefficients are class numbers of integral binary cubic forms