Welcome to the LMFDB, the database of L-functions, modular forms, and related objects. These pages are intended to be a modern handbook including tables, formulas, links, and references for L-functions and their underlying objects.
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LMFDB - The L-functions and modular forms database | lmfdb.org Reviews
https://lmfdb.org
Welcome to the LMFDB, the database of L-functions, modular forms, and related objects. These pages are intended to be a modern handbook including tables, formulas, links, and references for L-functions and their underlying objects.
LMFDB - The L-functions and modular forms database
Middot; Hide Menu. GL(2, F p)$. The LMFDB is an extensive database of mathematical objects arising in Number Theory. Sample lists: L-functions,. Tables of zeros,. Ramanujan ( Delta ) function. Search for objects with specific properties, or browse categories. Browse: L-functions,. Explore individual plots or view distributions of various objects. Examples: ( GL(4) ) Level one Maass forms,. Isogeny graph of elliptic curve 102.c. Code and Open Software. This project is supported by grants.
lmfdb.org
LMFDB - A Map of the LMFDB
http://www.lmfdb.org/bigpicture
Rarr; Big Picture. Middot; Hide Menu. A Map of the LMFDB. The research areas of the LMFDB are distinguished by the variety of connections among the various objects. Field of definition,. N-divison fields, etc. Some varieties are modular. A number field is a finite dimensional extension. Of the rational numbers. The Dedekind zeta function is defined as a. Product over the prime ideals of the number. An Artin representation is a finite dimensional. Representation of the Galois group of a number. L-function...
LMFDB - Hilbert Modular Forms
http://www.lmfdb.org/ModularForm/GL2/TotallyReal
Rarr; Modular Forms. Rarr; Hilbert Modular Forms. Middot; Hide Menu. Source of the data. Labels for Hilbert Modular Forms. The database contains 368,356 Hilbert newforms over 400 totally real number fields of degree up to 6. For each field for which forms are presented, the data is complete up to a given level norm. Browse Hilbert cusp forms. 148 real quadratic fields including ( Q( sqrt{5}) ). 61 cubic fields including 3.3.49.1. 123 quartic fields including 4.4.725.1. Browse Hilbert cusp forms.
LMFDB - Future Plans
http://www.lmfdb.org/roadmap
Rarr; Future Plans. Middot; Hide Menu. Ongoing work on the LMFDB will add more data, include more mathematical objects, provide better searching and browsing, and give more detailed information about each object in the database. The lists below describe some of the planned enhancements. To make comments or suggestions about the future of LMFDB, please see the feedback page. For information about the mailing list and bug-report form. Links to more friends: dual L-function (if not self-dual), etc. Addition...
LMFDB - Features
http://www.lmfdb.org/intro/features
Middot; Hide Menu. In the LMFDB, we aim for every object to have its own homepage. Note the following features:. Interspersed throughout the LMFDB are underlined words. These words represent knowls, which are bits of context free information. A knowl is identified by a word or phrase underlined with a dotted line. Clicking on a knowl. Brings up a box of text containing information about the object. Clicking on the knowl a second time will retract the box of text. On the top left of the header of a given ...
LMFDB - Holomorphic Cusp Forms
http://www.lmfdb.org/ModularForm/GL2/Q/holomorphic
Rarr; Modular Forms. Rarr; Holomorphic Cusp Forms. Middot; Hide Menu. History of modular forms. The database currently contains information on $S k( Gamma 0(N) $ for $(k,N)$ in the ranges $[2,12] times [1,100]$ and $[2,40] times [1,25]$, and on $S k( Gamma 1(N) $ in the ranges $[2,10] times [1,50]$ and $[2,20] times [1,16]$. More data is being added continually. Switch to ( Gamma 1(N) ). For ( Gamma 0(N) ). The table below gives the dimensions of the space of holomorphic newforms. For ( Gamma 0(N) ).
TOTAL PAGES IN THIS WEBSITE
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Sources | Discrete Madness
https://amosunov.wordpress.com/sources
Anton Mosunov's blog on number theory. This is a brief collection of resources which I found useful in my studies. 8211; this is where I post my code (fast polynomial multiplication stuff is online, as well as the class group tabulation. The quaternion arithmetic library is soon-to-appear);. 8211; “a collection of links to online information of interest to number theorists”. 8211; linear and modular forms database. In particular, check out this. 8211; Russian portal of mathematics. Journal of the AMS.
Zeta Search Project
http://www.riemann-siegel.com/links.php
Andrew M. Odlyzko. Many papers on the Zeros of the Riemann Zeta Function. The first 100,000 zeros of the Riemann zeta function. Zeros of the Riemann-zeta function from $10 {22} 1$ through $10 {22} 10 4$. Several hundred million zeta zeros. Derivatives of the rotated zeta function. Maximum of Z(t) between consecutive zeros at different height. Many large values of Z(t) at large height. The largest known Z(t) ever observed. Z(t) 16242.959. Publicly available source code of the Ghaith's algorithm.
Course Web Pages
http://kskedlaya.org/courses-past.shtml
When I teach a course, I invariably maintain a web page for that course. For advanced courses, this page often ends up with material that may be of use subsequently, so I keep the page up. (For less advanced courses, I typically take the page down so that I can reuse some of the lesson material.) For online materials from more mainstream courses, see MIT OpenCourseWare. Number Theory, fall 2001). Number Theory, spring 2002; see also these updated notes. Algebraic Geometry, spring 2005). At UC San Diego:.
Conference on Elliptic Curves and Modular Forms, and Related Topics | Connecticut Summer School in Number Theory
http://ctnt-summer.math.uconn.edu/elliptic-curves-and-modular-forms-conference
Skip to UConn Search. Connecticut Summer School in Number Theory. Search in http:/ ctnt-summer.math.uconn.edu/. Connecticut Summer School in Number Theory. Registration and Funding for the Connecticut Summer School. Registration for the Conference on Elliptic Curves and Modular Forms. Conference on Elliptic Curves and Modular Forms, and Related Topics. Poster and Photos of the Event. Search in http:/ ctnt-summer.math.uconn.edu/. Conference on Elliptic Curves and Modular Forms, and Related Topics. 7 Ling ...
Full-time developer position opening at Université Paris-Sud for Fall 2015 (filled) · OpenDreamKit
http://opendreamkit.org/2015/05/22/developer-position-paris-sud
A project funded by the Horizon 2020. Follow and Contact us. Full-time developer position opening at Université Paris-Sud for Fall 2015 (filled). This is an announcement for a full-time developer ( Ingénieur de Recherche. Position opening at Université Paris-Sud, working on open source software engineering for computational mathematics. A second full-time developer will be hired later on, presumably in Fall 2016. The developer will work at the Laboratoire de Recherche en Informatique. Improve the build, ...
Mathematics Links - Notions and Notes
https://www.notionsandnotes.org/pages/math-links.html
Determinants of Matrices over Commutative Rings. The long road to building a static blog with pelican. Here are some links filtered out from my bookmarks. Only those open to the public domain are given. For any suggestions or comments regarding this page, please contact me via Twitter. For math papers. Use ArXiv mailing lists. Or our Twitter feeds. For various ArXiv categories. For papers from French journals. EGA, SGA, Publ. IHES., etc. A European mailing list for Algebraic Geometry. Of G H. Hardy.
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Miguel Dantas
Teorias e Modelos de comunicação. Terça-feira, 1 de dezembro de 2009. Teoria e modelos da comunicação. Isto de comunicar sem estar a ver para quem é complicado. Como vou ter a certeza que são mesmo os meus colegas que vão ler ou responder? Por cada letra que faço ou vejo é uma acto de fé (eh. eh. esta é a minha área). O espaço de solidariedade que aqui podemos encontrar é extraordinariamente maior ao mal que ele pode provocar. Mas aviso. Não me provoquem! Fiquem bem e vamos ao trabalho. Entropia – ...
LMFDB - The L-functions and modular forms database
Middot; Hide Menu. The LMFDB is an extensive database of mathematical objects arising in Number Theory. Sample lists: L-functions,. Tables of zeros,. Ramanujan ( Delta ) function. Search for objects with specific properties, or browse categories. Browse: L-functions,. Explore individual plots or view distributions of various objects. Examples: ( GL(4) ) Level one Maass forms,. Isogeny graph of elliptic curve 102.c. Code and Open Software. This project is supported by grants. Middot; Management Board.
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