Results 11 to 20 of about 43 (43)

On the recursive properties of one kind hybrid power mean involving two-term exponential sums and Gauss sums

Open Mathematics, 2018
The main purpose of this paper is to study the computational problem of one kind hybrid power mean involving two-term exponential sums and quartic Gauss sums using the analytic method and the properties of the classical Gauss sums, and to prove some ...
Shen Shimeng
doaj   +1 more source

IGUSA’S CONJECTURE FOR EXPONENTIAL SUMS: OPTIMAL ESTIMATES FOR NONRATIONAL SINGULARITIES

Forum of Mathematics, Pi, 2019
We prove an upper bound on the log canonical threshold of a hypersurface that satisfies a certain power condition and use it to prove several generalizations of Igusa’s conjecture on exponential sums, with the log canonical threshold in the exponent of ...
RAF CLUCKERS, MIRCEA MUSTAŢĂ, KIEN HUU NGUYEN   +2 more
doaj   +1 more source

On the hybrid power mean of two kind different trigonometric sums

Open Mathematics, 2019
The main purpose of this paper is using the analytic method, the properties of trigonometric sums and Gauss sums to study the computational problem of one kind hybrid power mean involving two different trigonometric sums, and give an interesting ...
Zhuoyu Chen, Wenpeng Zhang
doaj   +1 more source

On the generalized exponential sums and their fourth power mean

Open Mathematics
The main purpose of this article is to study the calculating problem of the fourth power mean of the two-term exponential sums and provide an accurate calculating formula for utilizing analytical methods and character sums’ properties. In the meantime, a
Liu Wencong, Ning Shushu
doaj   +1 more source

Testing reliability and validity of practitioner‐rated parental sensitivity: A novel tool for practice

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, Mirjam Oosterman, Anne Tharner, Carlo Schuengel   +3 more
wiley   +1 more source

Large sieve inequalities for exceptional Maass forms and the greatest prime factor of $n^2+1$

Forum of Mathematics, Pi
We 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

One special kind of Kloosterman sum and its fourth-power mean

Open Mathematics
This 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

Generalized quadratic Gauss sums and their 2mth power mean

Open Mathematics
The 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

Some identities involving primes

, 2018
The main purpose of this paper is to use the analytic methods and the properties of Gauss sums to study some classical problem related to a prime p. We shall give some new identities involving a prime p, one of which is that if prime p = 6k + 1, then ...
Liu, Yuhui
core  

Vortex Filament Equation for a Regular Polygon in the Hyperbolic Plane. [PDF]

J Nonlinear Sci, 2022
de la Hoz F, Kumar S, Vega L.
europepmc   +1 more source