12 июн. 2015 г. · Since the conductor in our case is q=4, this exactly knocks out the factor of q−s/2 that is attached to the completed L-function.

29 сент. 2024 г. · It is from ANT of Iwaniec and Kowalski that the conductor of L-function is defined that: An integer q(f)⩾1, called the conductor of L(f,s), ...

23 мая 2014 г. · First, a few things about normalization. The expression L(s,fׯf) needs to be multiplied by ζ(2s) in order to have a functional equation.

7 окт. 2018 г. · Furthermore vp is the Artin conductor which consists of the codimension of the inertia invariant subspace (i.e. d−dp) plus the Swan conductor.

21 июн. 2019 г. · ... L-function is indeed a polynomial of degree zero. For upper bounds, the conductor-discriminant formula gives. degKDL/K=∑χχ(1)degK ...

23 окт. 2009 г. · The conductor is a non-negative integer involved in the L-function of E. Its p-part fp vanishes iff the Tate module is unramified (the inertia ...

18 янв. 2017 г. · These definitions are consistent, though it's not immediate. The conductor quantifies the extent to which π is ramified.

23 нояб. 2014 г. · The L-function is some local-global object (The definition as an Euler product) which encodes, along with its twists, automorphy of the representation.

24 янв. 2014 г. · Also, the L-function is a motivic invariant, and the equation in the question enables you to derive the conductor from the L-function, so it had ...

22 окт. 2010 г. · You can consider ζ(s)L(s,χ)=ζK(s) to be a reformulation of quadratic reciprocity, where χ is a primitive quadratic character of conductor N ...