Results 21 to 30 of about 167,831,130 (242)

Supnorm of modular forms of half-integral weight in the weight aspect [PDF]

open access: yesActa Arithmetica, 2017
We bound the supnorm of half-integral weight Hecke eigenforms in the Kohnen plus space of level $4$ in the weight aspect, by combining bounds obtained from the Fourier expansion with the amplification method using a Bergman kernel.
openaire   +3 more sources

Modular forms of half-integral weight on exceptional groups [PDF]

open access: yes, 2022
We define a notion of modular forms of half-integral weight on the quaternionic exceptional groups. We prove that they have a well-behaved notion of Fourier coefficients, which are complex numbers defined up to multiplication by $\pm 1$.
Leslie, Spencer, Pollack, Aaron
core   +1 more source

A Burgess-like subconvex bound for twisted L-functions [PDF]

open access: yes, 2007
Let g be a cuspidal newform (holomorphic or Maass) of arbitrary level and nebentypus, X a primitive character of conductor q, and s a point on the critical line Rs = 1/2.
Michel, Philippe   +6 more
core   +2 more sources

Effective construction of Hilbert modular forms of half-integral weight [PDF]

open access: yes, 2022
Given a Hilbert cuspidal newform $g$ we construct a family of modular forms of half-integral weight whose Fourier coefficients give the central values of the twisted $L$-series of $g$ by fundamental discriminants.
Tornaría, Gonzalo   +2 more
core   +1 more source

On the half-integral weight modular forms [PDF]

open access: yes, 2017
Anadolu Üniversitesi ve Bilecik Şeyh Edebali Üniversitesi tarafından ortak yürütülen program.Modüler formlar uzun yıllardır popülerliğini koruyan bir konudur. Matematik ve Fizik’in bir çok alanında önemli uygulamalara sahiptir.
Demirkol Özkaya, Zeynep
core   +1 more source

Hilbert modular forms of half-integral weight

open access: yes, 2023
These files are the result of using the main result from "Nicolás Sirolli and Gonzalo Tornaría, Effective construction of Hilbert modular forms of half-integral weight" for computing the central values twisted L-series attached to Hilbert modular forms ...
Tornaría López, Gonzalo   +1 more
core   +1 more source

$p$-adic Properties for Taylor Coefficients of Half-integral Weight Modular Forms on $\Gamma_1(4)$

open access: yes, 2022
For a prime $p\equiv 3$ $(\text{mod }4)$ and $m\ge 2$, Romik raised a question about whether the Taylor coefficients around $\sqrt{-1}$ of the classical Jacobi theta function $\theta_3$ eventually vanish modulo $p^m$.
Yoonjin Lee   +3 more
core   +1 more source

Smaller is better: nanobodies meet NMR

open access: yesFEBS Letters, EarlyView.
Nanobodies are single‐domain antigen‐binding fragments derived from camelid heavy chain antibodies. Their small size, high stability, and exceptional specificity make nanobodies uniquely useful probes for NMR studies of protein dynamics, transient conformational states, and protein–protein interactions.
Oleg Y. Dmitriev
wiley   +1 more source

p-Adic limit of the Fourier coefficients of weakly holomorphic modular forms of half integral weight

open access: yes, 2018
Serre obtained the p-adic limit of the integral Fourier coefficients of modular forms on SL (2)(a"currency sign) for p = 2, 3, 5, 7. In this paper, we extend the result of Serre to weakly holomorphic modular forms of half integral weight on I"(0)(4N) for
Choi, D, Choie, Y
core   +1 more source

Zeros of modular forms of half integral weight

open access: yesResearch in Number Theory, 2016
We study canonical bases for spaces of weakly holomorphic modular forms of level 4 and weights in $\mathbb{Z}+\frac{1}{2}$ and show that almost all modular forms in these bases have the property that many of their zeros in a fundamental domain for $Γ_0(4)$ lie on a lower boundary arc of the fundamental domain.
Folsom, Amanda, Jenkins, Paul
openaire   +3 more sources

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