Jonathan Hanke's Website

Research and Software in Number Theory

Archive for the ‘Math Papers & Projects’ Category

Some Tikz References

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

Wikibooks Tikz Reference: html

TeXample Tikz Information: html

TikZit: Graphical Tikz/PGF Editor: html

Written by jonhanke

October 29th, 2012 at 6:17 am

Algebraic/Arithmetic Geometry Online

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

Written by jonhanke

May 1st, 2012 at 7:50 pm

Trace Formula References

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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”


Written by jonhanke

April 29th, 2012 at 5:45 pm

Useful Databases

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Written by jonhanke

April 29th, 2012 at 5:39 pm

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

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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

Written by jonhanke

September 12th, 2011 at 4:28 am