## Archive for the ‘Math Papers & Projects’ Category

## Some Tikz References

J.S. Milne’s Tikz/PGF Quick Reference: pdf

Wikibooks Tikz Reference: html

TeXample Tikz Information: html

TikZit: Graphical Tikz/PGF Editor: html

## Algebraic/Arithmetic Geometry Online

- The Stacks Project — A large reference project for Algebraic Geometry online, meant to give the necessary background for understanding algebraic stacks.

## Trace Formula References

### [latexpage]

### Basic Trace Formula References:

- LNM 1001 — The Selberg Trace Formula for PSL(2,R)
- LNM 1040 — Local Analysis of Selberg’s Trace Formula
- Knightly and Li — “Traces of Hecke operators” book
- Zagier’s Appendix in Lang’s “Introduction to Modular Forms” book
- Miyake’s Book “Modular Forms” — Chapter on the Trace formula
- Lang’s book “$\mathrm{SL}_2(\mathBbb{R})$” — Discusses the spectral theory of $\mathrm{SL}_2(\mathBbb{R})$
- Chapter 10 of Iwaniec’s book “Introduction to the Spectral Theory of Automorphic Forms”

## Useful Databases

- L-functions and Modular Forms Database — http://www.lmfdb.org/
- Sloane-Nebe Database of Lattices — http://www.math.rwth-aachen.de/~Gabriele.Nebe/LATTICES/

## ECLIB with quadratic character (with John Cremona; C++)

**Description:** A modified version of John Cremona’s ECLIB libraries to compute weight 2 modular symbols for $\Gamma_0(N)$, now allowing a quadratic character.

**Status:** in progress

**Released:** April 2011

**Size:** Modified ???? lines of code.

**Availability:** Google Code

**Other Information:** Associated Documentation/Papers, Example Code