The arithmetic of the values of modular functions and the divisors of modular forms

From MaRDI portal
Publication:4831288

DOI10.1112/S0010437X03000721zbMath1060.11019OpenAlexW2048381158MaRDI QIDQ4831288

Winfried Kohnen, Jan Hendrik Bruinier, Ken Ono

Publication date: 29 December 2004

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0010437x03000721




Related Items

POWERS OF THE ETA-FUNCTION AND HECKE OPERATORSHilbert class polynomials and traces of singular moduliExplorations in the Theory of Partition Zeta FunctionsHigher Weierstrass points on $X_{0}(p)$Stieltjes interlacing of the zeros ofMoonshineCombinatorial properties of Rogers-Ramanujan type identities arising from Hall-Littlewood polynomialsON THE VANISHING OF FOURIER COEFFICIENTS OF CERTAIN GENUS ZERO NEWFORMSOrders at infinity of modular forms with Heegner divisorsOn Generalized Modular forms and their ApplicationsCongruences concerning values of the modular functions \(j_n\)A remark on congruences for coefficients of Faber polynomialsOn values of weakly holomorphic modular functions at divisors of meromorphic modular formsAsymptotic expansion of Fourier coefficients of reciprocals of Eisenstein seriesOn the generating function of a canonical basis for \(M_{0}^{!,\infty }(\Gamma)\)Hecke equivariance of generalized Borcherds products of type \(O(2,1)\)On product expansions of generalized modular formsHecke operators for weakly holomorphic modular forms and supersingular congruencesSystems of orthogonal polynomials arising from the modular \(j\)-function.On certain generalized modular formsSpecial values of modular functions on Hecke groupsIrreducibility of some Faber polynomialsOn divisors of modular formsRemarks on \(q\)-exponents of generalized modular functionsZEROS OF WEAKLY HOLOMORPHIC MODULAR FORMS OF LEVEL 4Conjugacy growth series for finitary wreath productsValence formulas for certain arithmetic groups and their applicationsSome remarks on the \(q\)-exponents of generalized modular functionsDivisors of modular forms on \(\Gamma_{0}(4)\)Poincaré series and the divisors of modular formsHeegner zeros of theta functionsOn the reciprocal of Klein's absolute \(j\)-invariant and sign changesThe action of the heat operator on Jacobi formsThe Hecke algebra action and the Rezk logarithm on Morava E-theory of height 2AN EXTENSION OF ROHRLICH’S THEOREM TO THE -FUNCTIONOn sign changes of \(q\)-exponents of generalized modular functionsInfinite product exponents for modular formsTranscendence of zeros of Jacobi formsA CHARACTERIZATION OF THE MODULAR UNITSON FOURIER COEFFICIENTS OF MODULAR FORMSPolynomial identities between Hecke eigenformsValues of harmonic weak Maass forms on Hecke orbitsAn algorithm for numerically inverting the modular \(j\)-functionFOURIER EXPANSIONS WITH MODULAR FORM COEFFICIENTS\(p\)-adic liftings of the supersingular \(j\)-invariants and \(j\)-zeros of certain Eisenstein seriesSemistable models for modular curves and power operations for Morava E-theories of height 2De Moivre and Bell polynomialsSome formulas for the coefficients of Drinfeld modular forms