Results 11 to 20 of about 90 (87)
On ℓ-adic representations for a space of noncongruence cuspforms [PDF]
This paper is concerned with a compatible family of 4-dimensional ℓ-adic representations ρℓ of GQ := Gal(Q/Q) attached to the space of weight-3 cuspforms S3(Γ) on a noncongruence subgroup Γ ⊂ SL2(Z). For this representation we prove that: 1.
Hoffman, Jerome William +5 more
core +1 more source
A kernel for automorphic L-functions
The full multiple Dirichlet series of an automorphic cusp form is defined, in classical language, as a Dirichlet series of several complex variables over all the Fourier coefficients of the cusp form.
Thillainatesan, Meera
core +1 more source
Differential equations and Hecke operators
Certain classes of linear ordinary differential equations are closely linked to automorphic forms of one variable. We construct Hecke operators on the space of certain nonhomogeneous linear ordinary differential equations that are compatible with the ...
Lee, M.H.
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The growth of CM periods over false tate extensions
We prove weak forms of Kato's K1-congruences for elliptic curves with complex multiplication, subject to two technical hypotheses. We next use MAGMA to calculate the µ-invariant measuring the discrepancy between the "motivic" and "automorphic" p-adic L ...
Ward, Thomas +5 more
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Primitivity testing in free group algebras via duality
Abstract Let K$K$ be a field and F$F$ a free group. By a classical result of Cohn and Lewin, the free group algebra KF$K\left[F\right]$ is a free ideal ring (FIR): a ring over which the submodules of free modules are themselves free, and of a well‐defined rank. Given a finitely generated right ideal I⩽KF$I\leqslant K\left[F\right]$ and an element f∈I$f\
Matan Seidel +2 more
wiley +1 more source
Abstract Lauraceae are a tropical–subtropical angiosperm family that exhibit significant diversity and a rich fossil record, primarily of leaves found worldwide from the Cretaceous to the present. However, the taxonomic placement of many fossil leaves remains uncertain because of morphological convergence and limited variation in leaf characters among ...
Marco A. Rubalcava‐Knoth +3 more
wiley +1 more source
Lax–Phillips orbit counting in higher rank
Abstract Given a discrete lattice, Γ
Alex Kontorovich, Christopher Lutsko
wiley +1 more source
Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley +1 more source
ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré +4 more
wiley +1 more source
Sacculina nectocarcini Rybakov & Høeg & Kuris 2006, sp. nov.
Sacculina nectocarcini sp. nov. Materials We examined three specimens from the red rock crab, Nectocarcinus integrifrons (Latreille, 1825); Tasmanian Museum and Art Gallery; ref. nos. G5467, G5468 and G4029.
Rybakov, Robert H. Gurney Alexey V. +2 more
core +1 more source

