Add to ORKGABSTRACT. The purpose of this note is to report on recent joint work with J. Funke, P. Jenkins, and K. Ono on the traces of CM values of modular functions and some appli-cations [BF], [BJO]. 1
This paper is a continuation of our previous paper [6], in which we treated modularequation n (X, j)...
As usual, let q: = e2piiz and let j(z) be the classical modular function j(z) = n=−
textThis thesis is comprised of three problems in number theory. The introduction is Chapter 1. The ...
After Zagier proved that the traces of singular moduli are Fourier coefficients of a weakly holomorp...
AbstractThe purpose of this paper is to decide the conditions under which a CM elliptic curve is mod...
Zagier proved that the traces of singular moduli, i.e., the sums of the values of the classical j-in...
Abstract. We derive several modular equations and present their proofs based on concise algebraic co...
We gave an algorithm to compute the modular equation <pn(X,j) of j(z) in [4]. Using the data accu...
We prove two congruences for the coefficients of power series expansions in t of modular forms where...
81 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2006.Recent works have used the the...
In a recent paper [Br-K-O], the author, Bruinier, and Kohnen investigated the values of a certain se...
AbstractWe attempt to obtain new modular relations for the Göllnitz–Gordon functions by techniques w...
The study of the analytical properties of the modular L-functions is a deep subject in number theory...
Kaneko gave a closed formula for the Fourier coefficients of the elliptic modularfunction j (τ) expr...
Recently, Baily has established new foundation for complex multiplication in the context of Hilbert ...
This paper is a continuation of our previous paper [6], in which we treated modularequation n (X, j)...
As usual, let q: = e2piiz and let j(z) be the classical modular function j(z) = n=−
textThis thesis is comprised of three problems in number theory. The introduction is Chapter 1. The ...
After Zagier proved that the traces of singular moduli are Fourier coefficients of a weakly holomorp...
AbstractThe purpose of this paper is to decide the conditions under which a CM elliptic curve is mod...
Zagier proved that the traces of singular moduli, i.e., the sums of the values of the classical j-in...
Abstract. We derive several modular equations and present their proofs based on concise algebraic co...
We gave an algorithm to compute the modular equation <pn(X,j) of j(z) in [4]. Using the data accu...
We prove two congruences for the coefficients of power series expansions in t of modular forms where...
81 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2006.Recent works have used the the...
In a recent paper [Br-K-O], the author, Bruinier, and Kohnen investigated the values of a certain se...
AbstractWe attempt to obtain new modular relations for the Göllnitz–Gordon functions by techniques w...
The study of the analytical properties of the modular L-functions is a deep subject in number theory...
Kaneko gave a closed formula for the Fourier coefficients of the elliptic modularfunction j (τ) expr...
Recently, Baily has established new foundation for complex multiplication in the context of Hilbert ...
This paper is a continuation of our previous paper [6], in which we treated modularequation n (X, j)...
As usual, let q: = e2piiz and let j(z) be the classical modular function j(z) = n=−
textThis thesis is comprised of three problems in number theory. The introduction is Chapter 1. The ...