Results 21 to 30 of about 271 (57)
The value distribution of incomplete Gauss sums
, 2012 It is well known that the classical Gauss sum, normalized by the square-root number of terms, takes only finitely many values. If one restricts the range of summation to a subinterval, a much richer structure emerges.
Chinen +4 more
core +1 more source
Infant Mental Health Journal: Infancy and Early Childhood, Volume 45, Issue 2, Page 234-246, March 2024.Abstract Improving parental sensitivity is an important objective of interventions to support families. This study examined reliability and validity of parental sensitivity ratings using a novel package of an e‐learning tool and an interactive decision tree provided through a mobile application, called the OK! package.
Mirte L. Forrer +3 more
wiley +1 more source
Evaluating Binomial Character Sums Modulo Powers of Two [PDF]
, 2014 We show that for any mod $2^m$ characters, $\chi_1, \chi_2,$ the complete exponential sum, $$ \sum_{x=1}^{2^m}\chi_1(x) \chi_2(Ax^k+B), $$ has a simple explicit ...
Pigno, Vincent +2 more
core
Local Jacquet-Langlands correspondences for simple supercuspidal representations
, 2016 We give a description of the local Jacquet-Langlands correspondence for simple supercuspidal representations via type theory. As a consequence, we show that the endo-classes for such representations are invariant under the local Jacquet-Langlands ...
Imai, Naoki, Tsushima, Takahiro
core +1 more source
Large sieve inequalities for exceptional Maass forms and the greatest prime factor of $n^2+1$
Forum of Mathematics, PiWe prove new large sieve inequalities for the Fourier coefficients $\rho _{j\mathfrak {a}}(n)$ of exceptional Maass forms of a given level, weighted by sequences $(a_n)$ with sparse Fourier transforms – including two key types of sequences ...
Alexandru Pascadi
doaj +1 more source
Exponential sums with automatic sequences
, 2017 We show that automatic sequences are asymptotically orthogonal to periodic exponentials of type $e_q(f(n))$, where $f$ is a rational fraction, in the P\'olya-Vinogradov range.
Drappeau, Sary, Müllner, Clemens
core +3 more sources
Hybrid Level Aspect Subconvexity for $GL(2)\times GL(1)$ Rankin-Selberg $L$-Functions
, 2018 Let $M$ be a squarefree positive integer and $P$ a prime number coprime to $M$ such that $P\sim M^\eta$ with $0 < \eta < 2/5$. We simplify the proof of subconvexity bounds for $L(\frac{1}{2},f\otimes\chi)$ when $f$ is a primitive holomorphic cusp form of
Aggarwal, Keshav +2 more
core +2 more sources
One special kind of Kloosterman sum and its fourth-power mean
Open MathematicsThis article aims to investigate the calculation problem of the fourth-power mean of the specific Kloosterman sums by utilizing analytic methods and the properties of classical Gauss sums.
Zhang Wenpeng, Wang Li, Liu Xiaoge
doaj +1 more source
Finite monodromy of some families of exponential sums [PDF]
, 2018 Given a prime $p$ and an integer $d>1$, we give a numerical criterion to decide whether the $\ell$-adic sheaf associated to the one-parameter exponential sums $t\mapsto \sum_x\psi(x^d+tx)$ over ${\mathbb F}_p$ has finite monodromy or not, and work out ...
Rojas-Leon, Antonio
core +1 more source
Generalized quadratic Gauss sums and their 2mth power mean
Open MathematicsThe main purpose of this article is to study the problem of calculating the 2mth power mean of the generalized quadratic Gauss sums, and using the analytic method and an interesting combinatorial identity to give a sharp asymptotic formula for the 2mth ...
Cui Dewang, Zhang Wenpeng
doaj +1 more source