scientific article
From MaRDI portal
Publication:3934463
zbMath0478.10001MaRDI QIDQ3934463
Publication date: 1980
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Research exposition (monographs, survey articles) pertaining to number theory (11-02) Zeta functions and (L)-functions of number fields (11R42) Collected or selected works; reprintings or translations of classics (01A75) Discontinuous groups and automorphic forms (11Fxx) Zeta and (L)-functions: analytic theory (11Mxx)
Related Items (80)
On a family of Hilbert modular Maass forms ⋮ The Jacobi form \(D_L\), theta functions, and Eisenstein series ⋮ On Siegel invariants of certain CM-fields ⋮ A computational approach to Hilbert modular group fixed points ⋮ Determinants of Laplacians and a second limit formula in \(\text{GL}(3)\) ⋮ Generation of class fields by using the Weber function ⋮ Distribution of rational points of bounded height on equivariant compactifications of \(\mathrm{PGL}_2\). I ⋮ Spectral square means for period integrals of wave functions on real hyperbolic spaces ⋮ The relative Hecke integral formula for an arbitrary extension of number fields ⋮ Unnamed Item ⋮ On the analytic continuation of certain Poincaré series of elliptic modular groups ⋮ The logarithm of the Dedekind \(\eta\)-function ⋮ The rationality of Stark-Heegner points over genus fields of real quadratic fields ⋮ Geometric invariants for real quadratic fields ⋮ Topological polylogarithms and \(p\)-adic interpolation of \(L\)-values of totally real fields ⋮ A reduction algorithm for Hilbert modular groups ⋮ Well-rounded sublattices of planar lattices ⋮ The Manin-Drinfeld theorem and Ramanujan sums ⋮ Explicit elliptic units. I ⋮ Transformations among large \(c\) conformal field theories ⋮ A genus two arithmetic Siegel-Weil formula on 𝑋₀(𝑁) ⋮ KRONECKER LIMIT FUNCTIONS AND AN EXTENSION OF THE ROHRLICH–JENSEN FORMULA ⋮ The BCC Lattice in a Long-Range Interaction System ⋮ Aspects of higher-abelian gauge theories at zero and finite temperature: topological Casimir effect, duality and Polyakov loops ⋮ Applications of Kronecker's limit formula for elliptic Eisenstein series ⋮ A Kronecker limit formula for indefinite zeta functions ⋮ Eisenstein cohomology classes for \(\mathrm{GL}_N\) over imaginary quadratic fields ⋮ Ramanujan’s class invariants, Kronecker’s limit formula, and modular equations ⋮ Spectral analysis and the Riemann hypothesis. ⋮ Universal families of Eulerian multiple zeta values in positive characteristic ⋮ A classification of harmonic Maass forms ⋮ Elasticity in Polynomial-Type Extensions ⋮ Certain convolution formulas for multiple series ⋮ Complete asymptotic expansions associated with various zeta-functions ⋮ Shintani lifts and fractional derivatives for harmonic weak Maass forms ⋮ The number of representations of a positive integer by triangular, square, and decagonal numbers ⋮ Complete asymptotic expansions associated with Epstein zeta-functions ⋮ Genus character L‐functions of quadratic orders and class numbers ⋮ A Jensen–Rohrlich type formula for the hyperbolic 3-space ⋮ Transcendental numbers and special values of Dirichlet series ⋮ On a GL(3) analog of \(|{} \eta{} (z)|\) ⋮ Unnamed Item ⋮ On Kronecker limit formulas for real quadratic fields ⋮ A Kronecker limit formula for totally real fields and arithmetic applications ⋮ Transformation formulae and asymptotic expansions for double holomorphic Eisenstein series of two complex variables ⋮ Hecke-Siegel's pull-back formula for the Epstein zeta function with a harmonic polynomial ⋮ Representations of integers by certain positive definite binary quadratic forms ⋮ On cycle integrals of weakly holomorphic modular forms ⋮ Conjectures on the fundamental domain of the Hilbert modular group ⋮ Complete asymptotic expansions associated with Epstein zeta-functions. II ⋮ Mathematics underlying the F-theory/heterotic string duality in eight dimensions ⋮ A generalization of gamma functions and Kronecker's limit formulas ⋮ An explicit trace formula of Jacquet-Zagier type for Hilbert modular forms ⋮ On a divisor problem related to the Epstein zeta-function ⋮ Congruences relating class numbers of quadratic orders and Zagier's sums ⋮ Some congruences connecting quadratic class numbers with continued fractions ⋮ Hecke’s Integral Formula for Relative Quadratic Extensions of Algebraic Number Fields ⋮ Polyharmonic Maass forms for \(\mathrm{PSL}(2,\mathbb Z)\) ⋮ A generalization of Knopp's observation on Ramanujan's tau-function ⋮ RANKIN–SELBERG CONVOLUTIONS OF NONCUSPIDAL HALF-INTEGRAL WEIGHT MAASS FORMS IN THE PLUS SPACE ⋮ A note on values of the Dedekind zeta-function at odd positive integers ⋮ Mahler measures of elliptic modular surfaces ⋮ On a result of G. Pólya concerning the Riemann \(\xi\)-function ⋮ DIFFERENTIAL ACTIONS ON THE ASYMPTOTIC EXPANSIONS OF NON-HOLOMORPHIC EISENSTEIN SERIES ⋮ Representations of the elliptic affine Hecke algebras ⋮ Kronecker's first limit formula, revisited ⋮ A generalization of Siegel's method ⋮ Dimension formulas and kernel functions for Hilbert modular forms ⋮ Dirichlet series with periodic coefficients ⋮ Transcendental values of class group $L$-functions, II ⋮ Transgressions of the Euler class and Eisenstein cohomology of \(\mathrm{GL}_N(\text{Z})\) ⋮ On a problem of Hasse and Ramachandra ⋮ The Selberg trace formula and Selberg zeta-function for cofinite Kleinian groups with finite-dimensional unitary representations ⋮ On the Rogers-Ramanujan continued fraction ⋮ Certain modular functions similar to the Dedekind eta function. ⋮ Singular vectors and geometry at infinity of products of hyperbolic spaces ⋮ On the Topography of Maass Waveforms for PSL(2, Z) ⋮ On conjectures of Samart ⋮ Zeta functions of prehomogeneous vector spaces with coefficients related to periods of automorphic forms ⋮ On Landau–Siegel zeros and heights of singular moduli
This page was built for publication: