We shall give a closed formula for the Fourier coefficients of the elliptic modular function j(τ ) expressed in terms of singular moduli, i.e. values at imaginary quadratic arguments. The formula is a consequence a theorem of D.Zagier which is intimately related to a recent result of R. Borcherds on a construction on modular forms as infinite products
1. Main theorem 2. Proof 3. Remarks ReferencesWe prove a congruence modulo a prime of Fourier coeffi...
In this talk, we give an exposition on the sign of the Fourier coefficients of modular forms when th...
In the theory of modular forms, the so-called singular moduli (i.e., the values assumed by the modul...
We give a closed formula for the Fourier coefficients of the elliptic modular function $j(\tau) $ ex...
We give a closed formula for the Fourier coeefficients of the elliptic modular function j(τ ) expres...
Kaneko gave a closed formula for the Fourier coefficients of the elliptic modularfunction j (τ) expr...
Let j(z) be the usual modular function for SL2(Z) j(z) = q−1 + 744 + 196884q + 21493760q2 + · · ·...
We define ‘values’ of the elliptic modular j-function at real quadratic irrationalities by using Hec...
Classically, the theory of complex multiplication asserts that the value of the usualelliptic modula...
In the first part of this thesis, we prove an explicit formula for the average of a Borcherds form o...
Let j(z) = q−1 + 744 + 196884q + · · · denote the usual elliptic modular function on SL2(Z) (q: =...
AbstractFor an infinite family of modular forms constructed from Klein forms we provide certain expl...
After Zagier proved that the traces of singular moduli are Fourier coefficients of a weakly holomorp...
In a recent paper [Br-K-O], the author, Bruinier, and Kohnen investigated the values of a certain se...
Introduction. “Singular moduli ” is the classical name for the values assumed by the modular invaria...
1. Main theorem 2. Proof 3. Remarks ReferencesWe prove a congruence modulo a prime of Fourier coeffi...
In this talk, we give an exposition on the sign of the Fourier coefficients of modular forms when th...
In the theory of modular forms, the so-called singular moduli (i.e., the values assumed by the modul...
We give a closed formula for the Fourier coefficients of the elliptic modular function $j(\tau) $ ex...
We give a closed formula for the Fourier coeefficients of the elliptic modular function j(τ ) expres...
Kaneko gave a closed formula for the Fourier coefficients of the elliptic modularfunction j (τ) expr...
Let j(z) be the usual modular function for SL2(Z) j(z) = q−1 + 744 + 196884q + 21493760q2 + · · ·...
We define ‘values’ of the elliptic modular j-function at real quadratic irrationalities by using Hec...
Classically, the theory of complex multiplication asserts that the value of the usualelliptic modula...
In the first part of this thesis, we prove an explicit formula for the average of a Borcherds form o...
Let j(z) = q−1 + 744 + 196884q + · · · denote the usual elliptic modular function on SL2(Z) (q: =...
AbstractFor an infinite family of modular forms constructed from Klein forms we provide certain expl...
After Zagier proved that the traces of singular moduli are Fourier coefficients of a weakly holomorp...
In a recent paper [Br-K-O], the author, Bruinier, and Kohnen investigated the values of a certain se...
Introduction. “Singular moduli ” is the classical name for the values assumed by the modular invaria...
1. Main theorem 2. Proof 3. Remarks ReferencesWe prove a congruence modulo a prime of Fourier coeffi...
In this talk, we give an exposition on the sign of the Fourier coefficients of modular forms when th...
In the theory of modular forms, the so-called singular moduli (i.e., the values assumed by the modul...