Results 41 to 50 of about 10,606 (255)
On Viazovska’s modular form inequalities
Proceedings of the National Academy of Sciences, 2023 Viazovska proved that the E 8 lattice sphere packing is the densest sphere packing in 8 dimensions. Her proof relies on
openaire +6 more sources
Poincaré series for modular graph forms at depth two. Part I. Seeds and Laplace systems
Journal of High Energy Physics, 2022 We derive new Poincaré-series representations for infinite families of non-holomorphic modular invariant functions that include modular graph forms as they appear in the low-energy expansion of closed-string scattering amplitudes at genus one.
Daniele Dorigoni +2 more
doaj +1 more source
On the computation of local components of a newform [PDF]
, 2011 The problem. Let f be a cuspidal newform for Γ1(N) with weight k ≥ 2 and character ε. There are well-established methods for computing such forms using modular symbols; see [Ste07].
Weinstein, Jared +3 more
core +1 more source
Modular invariant models of leptons at level 7
Journal of High Energy Physics, 2020 We consider for the first time level 7 modular invariant flavour models where the lepton mixing originates from the breaking of modular symmetry and couplings responsible for lepton masses are modular forms.
Gui-Jun Ding +3 more
doaj +1 more source
Ordinary representations and modular forms [PDF]
Proceedings of the National Academy of Sciences, 1997 Let \(p\) be a prime, and fix on embedding of \(\overline{\mathbb{Q}}\) into \(\overline{\mathbb{Q}}_p\). Let \(f\) be a new form of weight \(k\geq 2\), level \(N\) and character \(\psi\). Let \(\rho_f: \text{Gal} (\overline{\mathbb{Q}}/ \mathbb{Q})\to \text{GL}_2 (\overline{\mathbb{Q}}_p)\) be a continuous representation attached to \(f\) by Eichler ...
Skinner, C. M., Wiles, A. J.
openaire +2 more sources
Coefficients of symmetric power L-functions on integers under digital constraints [PDF]
Notes on Number Theory and Discrete MathematicsLet λₛᵧₘʳ_f(n) be the n-th coefficient in the Dirichlet series representing the symmetric power L-function attached to a primitive form f of weight k and level N.
Khadija Mbarki
doaj +1 more source
Iwasawa theory for modular forms at supersingular primes
, 2010 Let f=\sum a_nq^n be a normalised eigen-newform of weight k\ge2 and p an odd prime which does not divide the level of f. We study a reformulation of Kato's main conjecture for f over the Zp-cyclotomic extension of Q.
Antonio Lei
core +1 more source
Uniformization, accessory parameters and modular forms [PDF]
, 2020 Several topics related to modular forms and to the accessory parameter problem for the uniformization of hyperbolic Riemann surfaces are discussed. In the first part of the thesis we present an algorithm for the computation of the accessory parameters ...
Bogo, G., Bogo, Gabriele
core
Genuine Bianchi modular forms of higher level, at varying weight and discriminant [PDF]
, 2019 peer reviewedBianchi modular forms are automorphic forms over an imaginary quadratic field, associated to a Bianchi group. Those of the cuspidal Bianchi modular forms which are relatively well understood, namely (twists of) base-change forms and CM-forms,
Rahm, Alexander, D. +5 more
core +1 more source
, 2021 The theory of elliptic modular forms has gained significant momentum from the discovery of relaxed yet well-behaved notions of modularity, such as mock modular forms, higher order modular forms, and iterated Eichler-Shimura integrals. Applications beyond
Raum, Martin, Mertens, Michael H.
core +2 more sources