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LMFDB - The L-functions and modular forms database

www.lmfdb.org/

... Theory. Sample lists: L-functions, Elliptic curves, Maass forms, Tables of zeros, Nu-mber fields. Hall of Fame Riemann zeta function Cubic Field of discriminant \(-23\) Rama-nujan \(\Delta\) function and its L-function First Rank 4 Elliptic ...


LMFDB - L-functions

www.lmfdb.org/L/

... Galois groups Knowledge ↑ Learn more about History of L-functions Browse L-functions by underlying object Riemann zeta function Dirichlet L-function Holomorphic cusp form with trivial character GL2 Maass form Elliptic curve GL3 Maass ...


LMFDB - Degree 1 L-functions

www.lmfdb.org/L/degree1/

... is 1 (or 0) when $\chi$ is odd (or even). In particular, the only Dirichlet L-function with conductor 1 is the Riemann zeta function . Degree 1 L-functions can also be obtained from Artin representations of dimension 1. The plot below ...


LMFDB - Degree 3 L-functions

www.lmfdb.org/L/degree3/

LMFDB - Degree 3 L-functions ⌂ → L-functions → Degree 3 · Feedback · Show Menu · Login Degree 3 L-functions L-functions can be organized by degree . All known degree 3 L-functions have a functional equation of one of the two forms ...


LMFDB - Degree 2 L-functions

www.lmfdb.org/L/degree2/

LMFDB - Degree 2 L-functions ⌂ → L-functions → Degree 2 · Feedback · Hide Menu · Login Degree 2 L-functions Introduction and more Introduction Features Tutorial Map Con-tact Citation Future Plans L-functions Degree: 1 2 3 $\zeta$ ze ...


LMFDB - Degree 4 L-functions

www.lmfdb.org/L/degree4/

LMFDB - Degree 4 L-functions ⌂ → L-functions → Degree 4 · Feedback · Hide Menu · Login Degree 4 L-functions Introduction and more Introduction Features Tutorial Map Con-tact Citation Future Plans L-functions Degree: 1 2 3 $\zeta$ ze ...


LMFDB - Search for first zeros of L-functions

www.lmfdb.org/zeros/first/

LMFDB - Search for first zeros of L-functions ⌂ → L-functions → First zeros search · Feedback · Hide Menu · Login Search for first zeros of L-functions Introduction and more Int-roduction Features Tutorial Map Contact Citation Future ...


LMFDB - Riemann Zeta-function: $\zeta(s)$

www.lmfdb.org/L/Riemann/

... Related objects \(\mathbb Q\) Dirichlet Character \(\chi_{1}(1,\cdot)\) Downloads Lcalcfile Moment polynomials for the zeta function Dirichlet series $\zeta(s) = 1^{\math-strut}$  + 2 -s + 3 -s + 4 -s + 5 -s + 6 -s + 7 -s + 8 -s + 9 -s + ...


LMFDB - L-functions of GL(3) Maass Forms

www.lmfdb.org/L/degree3/MaassForm/

LMFDB - L-functions of GL(3) Maass Forms ⌂ → L-functions → Degree 3 → MaassForm · Feedback · Hide Menu · Login L-functions of GL(3) Maass Forms Introduction and more Introduction Features Tutorial Map Contact Citation Future Plans ...


LMFDB - How to cite LMFDB

www.lmfdb.org/citation

... ration, The L-functions and Modular Forms Database, http://www.lmfdb.org , 2013, [Online; accessed 16 September 2013]. The BibTeX entry is: @misc{lmfdb, shorthand = {LMFDB}, author = {The {LMFDB Collaboration}}, title = {The L-functions ...


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