Add to ORKGLet d denote a positive integer congruent to 0 or 3 modulo 4. We denote by Qd the set of positive definite binary quadratic forms Q = [a, b, c] = aX2 + bXY + cY 2 (a, b, c ∈ Z) of discriminant −d, with usual action of the modular group Γ = SL2(Z). To each Q ∈ Qd, we associate its unique root αQ ∈ H (=upper half plane)
Let h(d) denote the class number of the quadratic field Q(√d) of discriminant d. A number of new det...
Let j(z) be the usual modular function for SL2(Z) j(z) = q−1 + 744 + 196884q + 21493760q2 + · · ·...
AbstractLet h(d) denote the class number of the quadratic field Q(√d) of discriminant d. A number of...
iAbstract We use Maass-Poincare ́ series to compute exact formulas for traces of singular moduli, an...
We extend a result of Ahlgren and Ono [1] on congruences for traces of singular moduli of level 1 to...
In the theory of modular forms, the so-called singular moduli (i.e., the values assumed by the modul...
After Zagier proved that the traces of singular moduli are Fourier coefficients of a weakly holomorp...
AbstractWe address a question posed by Ono [Ken Ono, The Web of Modularity: Arithmetic of the Coeffi...
Introduction. “Singular moduli ” is the classical name for the values assumed by the modular invaria...
In the first part of this thesis, we prove an explicit formula for the average of a Borcherds form o...
AbstractWe give a new proof of some identities of Zagier relating traces of singular moduli to the c...
Let j(z) be the usual modular function for SL2(Z) j(z) = q−1 + 744 + 196884q+ 21493760q2+ · · ·, ...
In this paper, regularized Petersson inner products of certain weight weakly holomorphic (or harmoni...
Abstract. Suppose that p ≡ 1 (mod 4) is a prime, and that OK is the ring of inte-gers of K: = Q(√p)....
We show that the generating series of traces of reciprocal singular moduli is a mixed mock modular f...
Let h(d) denote the class number of the quadratic field Q(√d) of discriminant d. A number of new det...
Let j(z) be the usual modular function for SL2(Z) j(z) = q−1 + 744 + 196884q + 21493760q2 + · · ·...
AbstractLet h(d) denote the class number of the quadratic field Q(√d) of discriminant d. A number of...
iAbstract We use Maass-Poincare ́ series to compute exact formulas for traces of singular moduli, an...
We extend a result of Ahlgren and Ono [1] on congruences for traces of singular moduli of level 1 to...
In the theory of modular forms, the so-called singular moduli (i.e., the values assumed by the modul...
After Zagier proved that the traces of singular moduli are Fourier coefficients of a weakly holomorp...
AbstractWe address a question posed by Ono [Ken Ono, The Web of Modularity: Arithmetic of the Coeffi...
Introduction. “Singular moduli ” is the classical name for the values assumed by the modular invaria...
In the first part of this thesis, we prove an explicit formula for the average of a Borcherds form o...
AbstractWe give a new proof of some identities of Zagier relating traces of singular moduli to the c...
Let j(z) be the usual modular function for SL2(Z) j(z) = q−1 + 744 + 196884q+ 21493760q2+ · · ·, ...
In this paper, regularized Petersson inner products of certain weight weakly holomorphic (or harmoni...
Abstract. Suppose that p ≡ 1 (mod 4) is a prime, and that OK is the ring of inte-gers of K: = Q(√p)....
We show that the generating series of traces of reciprocal singular moduli is a mixed mock modular f...
Let h(d) denote the class number of the quadratic field Q(√d) of discriminant d. A number of new det...
Let j(z) be the usual modular function for SL2(Z) j(z) = q−1 + 744 + 196884q + 21493760q2 + · · ·...
AbstractLet h(d) denote the class number of the quadratic field Q(√d) of discriminant d. A number of...