Wild Galois representations: elliptic curves with wild cyclic reduction [0.03%]
带有野生循环降解的椭圆曲线：野生Galois表示
Nirvana Coppola
Nirvana Coppola
In 1990, Kraus [12] classified all possible inertia images of the ℓ -adic Galois representation attached to an elliptic curve over a non-archimedean local field. In [1, 2], the author computed explicitly the Galois representation of e...
Endomorphism algebras of abelian varieties with large cyclic 2-torsion field over a given field [0.03%]
具有大循环2-挠子场的Abel variety的自同态代数
Pip Goodman
Pip Goodman
In this article we study the endomorphism algebras of abelian varieties A defined over a given number field K with large cyclic 2-torsion fields. A key step in doing so is to provide criteria for all the endomorphisms of A to be defined ove...
Applications of representation theory and of explicit units to Leopoldt's conjecture [0.03%]
表示理论和显式单位在Leopoldt猜想中的应用
Fabio Ferri,Henri Johnston
Fabio Ferri
Let L/K be a Galois extension of number fields and let G = Gal ( L / K ) . We show that under certain hypotheses on G, for a fixed prime number p, Leopoldt's conjecture at p for certain proper intermediate fields of L/K implies Leopoldt's ...
Adjoint L-functions, congruence ideals, and Selmer groups over [Formula: see text] [0.03%]
伴L-函数、同余理想和[Formula: see text]上的塞尔群
Ho Leung Fong
Ho Leung Fong
The study of special values of adjoint L-functions and congruence ideals is gradually becoming a classical theme in number theory, driven by the Bloch-Kato conjecture and generalisations of Wiles-Lenstra's numerical criterion. In this paper...
Moments of derivatives of quadratic Dirichlet L-functions with prime conductor [0.03%]
素导数的二次狄利克雷L-函数的导数的时刻
Christopher G Best
Christopher G Best
We compute an asymptotic formula for the mixed second moment of the μ -th and ν -th derivatives of quadratic Dirichlet L-functions over monic, irreducible polynomials in the function field setting. ...
Elvira Lupoian,James Rawson
Elvira Lupoian
In this paper we give an algorithm to find the 3-torsion subgroup of the Jacobian of a smooth plane quartic curve with a marked rational point. We describe 3 - torsion points in terms of cubics which triply intersect the curve, and use thi...
A Fourier-Jacobi Dirichlet series for cusp forms on orthogonal groups [0.03%]
正交群上尖形式的傅里叶-雅可比Dirichlet级数
Rafail Psyroukis
Rafail Psyroukis
We investigate a Dirichlet series involving the Fourier-Jacobi coefficients of two cusp forms F, G for orthogonal groups of signature ( 2 , n + 2 ) . In the case when F is a Hecke eigenform and G is a Maass lift of a Poincaré series, we e...
Harry Spencer
Harry Spencer
Mazur and Rubin introduced the notion of n-Selmer companion elliptic curves and gave several examples of pairs of non-isogenous Selmer companions. We construct several pairs of families of elliptic curves, each parameterised by t ∈ Z ...
Traces of partition Eisenstein series and almost holomorphic modular forms [0.03%]
分区Eisenstein级数的迹和几乎全域模形式
Kathrin Bringmann,Badri Vishal Pandey
Kathrin Bringmann
Recently, Amdeberhan, Griffin, Ono, and Singh started the study of "traces of partition Eisenstein series" and used it to give explicit formulas for many interesting functions. In this note we determine the precise spaces in which they lie,...
On p-refined Friedberg-Jacquet integrals and the classical symplectic locus in the [Formula: see text] eigenvariety [0.03%]
关于p- refined的Friedberg-Jacquet积分以及[Formula: see text]胚丛中经典的辛簇
Daniel Barrera Salazar,Andrew Graham,Chris Williams
Daniel Barrera Salazar
Friedberg-Jacquet proved that if π is a cuspidal automorphic representation of GL 2 n ( A ) , then π is a functorial transfer from GSpin 2 n + 1 if and only if a global zeta integral Z H over H = GL n × GL n is non-v...