scientific article

zbMath0694.14002MaRDI QIDQ3469208

Dinakar Ramakrishnan

Publication date: 1989

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

BibliographypolylogarithmsTaylor seriesPell's equationalgebraic cyclesHodge conjectureL-functionsregulatorsDeligne-Beilinson cohomologymixed motivesarithmetic varietiesTate's conjectureBirch and Swinnerton-Dyer conjecturesYoneda extensionsDedekind's class numbergeneralized Hodge groupvariations of mixed Hodge structures

Mathematics Subject Classification ID

Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Zeta functions and (L)-functions of number fields (11R42) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Generalizations (algebraic spaces, stacks) (14A20) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35) (Co)homology theory in algebraic geometry (14Fxx)

Related Items (16)

The Lerch zeta function. III: Polylogarithms and special values ⋮ Infinitesimal Bloch regulator ⋮ Certain values of Hecke \(L\)-functions and generalized hypergeometric functions ⋮ Stark conjectures for CM elliptic curves over number fields. ⋮ Bloch invariants of hyperbolic \(3\)-manifolds ⋮ Transcendental numbers and special values of Dirichlet series ⋮ Cycles in a product of elliptic curves, and a group analogous to the class group ⋮ Fibrations and Tate conjecture. ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Twisted \(S\)-units, \(p\)-adic class number formulas, and the Lichtenbaum conjectures ⋮ Higher Chow groups and the Hodge-\({\mathcal D}\)-conjecture ⋮ Perturbation vectors ⋮ Joint torsion of Toeplitz operators with \(H^{\infty}\) symbols ⋮ A Survey of the Additive Dilogarithm

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