Elliptic functions according to Eisenstein and Kronecker.
From MaRDI portal
Publication:1273985
zbMath0955.11001MaRDI QIDQ1273985
Publication date: 7 January 1999
Published in: Classics in Mathematics (Search for Journal in Brave)
Research exposition (monographs, survey articles) pertaining to number theory (11-02) Modular and automorphic functions (11F03) History of number theory (11-03) Research exposition (monographs, survey articles) pertaining to special functions (33-02) History of mathematics in the 19th century (01A55) Elliptic functions and integrals (33E05) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)
Related Items
Effective properties of two-dimensional dispersed composites. I: Schwarz's alternating method ⋮ Random 2D composites and the generalized method of Schwarz ⋮ On Zagier's adele ⋮ Fourier series and the special values of \(L\)-functions ⋮ Periods of Hilbert modular forms, Kronecker series and cohomology ⋮ Effective properties of two-dimensional dispersed composites. II: Revision of self-consistent methods ⋮ A modular-invariant modified Weierstrass sigma-function as a building block for lowest-Landau-level wavefunctions on the torus ⋮ A generalization of Zwegers' \(\mu\)-function according to the \(q\)-Hermite-Weber difference equation ⋮ High-order Contrast Bounds for Piezoelectric Constants of Two-phase Fibrous Composites ⋮ Cluster method in composites and its convergence ⋮ Loop-by-loop differential equations for dual (elliptic) Feynman integrals ⋮ On the Optimal Conductivity of Packed Two-Dimensional Dispersed Composites ⋮ The \(p\)-adic Gross-Zagier formula for elliptic curves at supersingular primes ⋮ Elliptic genus of singular algebraic varieties and quotients ⋮ Elementary proof of the transformation formula for Lambert series involving generalized Dedekind sums ⋮ Modular symbols and Petersson's product ⋮ Kato's Euler system ⋮ On \(p\)-adic analogue of Weil's elliptic functions according to Eisenstein ⋮ Heterotic-string amplitudes at one loop: modular graph forms and relations to open strings ⋮ Perspectives on mock modular forms ⋮ A mixed mock modular solution of the Kaneko-Zagier equation ⋮ Schwarz's alternating method in a matrix form and its applications to composites ⋮ Real forms of elliptic integrable systems ⋮ Applications of metaplectic cohomology and global-local contact holonomy ⋮ A deformation of multiple \(L\)-values ⋮ Kronecker's first limit formula, revisited ⋮ An introduction to Eisenstein measures ⋮ Fake proofs for identities involving products of Eisenstein series ⋮ Star Products and Certain Star Product Functions ⋮ Transgressions of the Euler class and Eisenstein cohomology of \(\mathrm{GL}_N(\text{Z})\) ⋮ PROPERTIES OF A COMPOSITE MATERIAL WITH MIXED IMPERFECT CONTACT CONDITIONS ⋮ The Bloch-Okounkov theorem for congruence subgroups and Taylor coefficients of quasi-Jacobi forms ⋮ On Jacobi forms, and explicit evaluations of some trigonometric sums ⋮ Régulateurs modulaires explicites via la méthode de Rogers–Zudilin
