[PDF][PDF] Heegner points and derivatives ofL-series
BH Gross, DB Zagier - Inventiones mathematicae, 1986 - wiki.epfl.ch
The main theorem of this paper gives a relation between the heights of Heegner divisor
classes on the Jacobian of the modular curve Xo (N) and the first derivatives at s= 1 of the …
classes on the Jacobian of the modular curve Xo (N) and the first derivatives at s= 1 of the …
[BOEK][B] Graphs on surfaces and their applications
SK Lando, AK Zvonkin, DB Zagier - 2004 - Springer
Graphs drawn on two-dimensional surfaces have always attracted researchers by their
beauty and by the variety of difficult questions to which they give rise. The theory of such …
beauty and by the variety of difficult questions to which they give rise. The theory of such …
[BOEK][B] On singular moduli
BH Gross, DB Zagier - 1984 - degruyter.com
0. The values of the modular function 7 (τ) at imaginary quadratic arguments τ in the upper
half plane are known s singular moduli. They are all algebraic integers. In this paper we will …
half plane are known s singular moduli. They are all algebraic integers. In this paper we will …
[BOEK][B] Modular forms of one variable
DB Zagier - 2000 - people.mpim-bonn.mpg.de
The word “modular” refers to the moduli space of complex curves (= Riemann surfaces) of
genus 1. Such a curve can be represented as C/Λ where Λ⊂ C is a lattice, two lattices Λ1 and …
genus 1. Such a curve can be represented as C/Λ where Λ⊂ C is a lattice, two lattices Λ1 and …
On the conjecture of Birch and Swinnerton-Dyer for an elliptic curve of rank 3
JP Buhler, BH Gross, DB Zagier - Mathematics of Computation, 1985 - ams.org
The elliptic curve ${y^ 2}= 4 {x^ 3}-28x+ 25$ has rank 3 over Q. Assuming the Weil-Taniyama
conjecture for this curve, we show that its L-series $ L (s) $ has a triple zero at $ s= 1$ and …
conjecture for this curve, we show that its L-series $ L (s) $ has a triple zero at $ s= 1$ and …
[BOEK][B] Equivariant Pontrjagin classes and applications to orbit spaces: applications of the G-signature theorem to transformation groups, symmetric products and …
DB Zagier - 2006 - books.google.com
This volume contains an assortment of results based on the Atiyah-Singer index theorem
and its corollaries (the Hirzebruch signature and Riemann-Roch theorems and the G-signature …
and its corollaries (the Hirzebruch signature and Riemann-Roch theorems and the G-signature …
Finite projective planes, Fermat curves, and Gaussian periods
DB Zagier, K Thas - Journal of the European Mathematical Society, 2008 - ems.press
One of the oldest and most fundamental problems in the theory of finite projective planes is
to classify those having a group which acts transitively on the incident point-line pairs (flags). …
to classify those having a group which acts transitively on the incident point-line pairs (flags). …
Periods of modular forms on and products of Jacobi theta functions
YJ Choie, YK Park, DB Zagier - Journal of the European Mathematical …, 2019 - ems.press
Generalizing a result of [15] for modular forms of level one, we give a closed formula for the
sum of all Hecke eigenforms on 0 (N), multiplied by their odd period polynomials in two …
sum of all Hecke eigenforms on 0 (N), multiplied by their odd period polynomials in two …
On singular moduli.
DB Zagier, BH Gross - 1985 - degruyter.com
0. The values of the modular function 7 (τ) at imaginary quadratic arguments τ in the upper
half plane are known s singular moduli. They are all algebraic integers. In this paper we will …
half plane are known s singular moduli. They are all algebraic integers. In this paper we will …
[CITAAT][C] Periods of modular forms and Jacobi theta functions
DB Zagier - 1989