Zobrazeno 1 - 10
of 476
pro vyhledávání: '"Ayyadurai P"'
Let $H_k$ be the set of all normalized primitive holomorphic cusp forms of even integral weight $k\geq 2$ for the full modular group $SL(2, \mathbb{Z})$, and let $j\geq 3$ be any fixed integer. For $f\in H_k$, we write $\lambda_{{\rm{sym}^j }f}(n)$ f
Externí odkaz:
http://arxiv.org/abs/2407.18259
In this paper, we consider the $k$-th Riesz mean for the coefficients of the Rankin-Selberg $L$-function $L_{f \times f}(s)$ related to the Godement-Jacquet $L$-function with respect to $SL(n,\mathbb{Z})$. We establish an asymptotic formula for the $
Externí odkaz:
http://arxiv.org/abs/2309.00243
Let $f \in S_{k}(SL_2(\mathbb{Z}))$ be a normalized Hecke eigenforms of integral weight $k$ for the full modular group. In the article, we study the average behaviour of Fourier coefficients of $\ell$-fold product $L$-function. More precisely, we est
Externí odkaz:
http://arxiv.org/abs/2307.13439
Autor:
Rajaprakasam Sudhagar, Naaganoor Ananthan Saravanan, Rajmohan Kanchanarani, Murugappan Shanmuganathan, Subbarayan Ganapathy, Chakrapani Babu, Anbalagan Thirumurugan, Venugopal Ravichandran, Chinnaswamy Appunu, Ayyadurai Anna Durai
Publikováno v:
Scientific Reports, Vol 14, Iss 1, Pp 1-14 (2024)
Abstract From the fluff generated during 2005, after the preliminary experiments (2005–2007), a promising clone G2005047 has been identified. It showed moderate resistance to red rot (3.6 on a 9-scale scoring system), less susceptibility to shoot b
Externí odkaz:
https://doaj.org/article/0cd2c49913e349e2b915d7b812d1996b
Publikováno v:
Journal of Number Theory, Volume 255, 2024, Pages 37-61
In this paper, we establish a mean value result of arithmetic functions over shorter intervals with the Selberg-Delange method using the Hooley-Huxley contour.
Externí odkaz:
http://arxiv.org/abs/2302.08161
Autor:
Naveen Palani, Pradeshwaran Vijayakumar, P. Monisha, Saravanakumar Ayyadurai, Suriyaprakash Rajadesingu
Publikováno v:
Journal of Nanobiotechnology, Vol 22, Iss 1, Pp 1-30 (2024)
Abstract The development of innovative wound dressing materials is crucial for effective wound care. It’s an active area of research driven by a better understanding of chronic wound pathogenesis. Addressing wound care properly is a clinical challe
Externí odkaz:
https://doaj.org/article/741b8b378e1646c4a7695cc6a408a672
In this paper, we investigate the average behavior of the $n^{th}$ normalized Fourier coefficients of the $j^{th}$ ($j \geq 2$ be any fixed integer) symmetric power $L$-function (i.e., $L(s,sym^{j}f)$), attached to a primitive holomorphic cusp form $
Externí odkaz:
http://arxiv.org/abs/2206.01491
In this paper, we study the average behaviour of the coefficients of triple product L-functions and some related L-functions corresponding to normalized primitive holomorphic cusp form $f(z)$ of weight $k$ for the full modular group $SL(2,\ \mathbb{Z
Externí odkaz:
http://arxiv.org/abs/2205.10554
Publikováno v:
Medžiagotyra, Vol 30, Iss 1, Pp 53-58 (2024)
Fiber Metal Laminates (FML) are hybrid composites comprising metals and Fiber Reinforced Plastics (FRP). FMLs are the most widely used in aerospace, defence and automotive sectors due to their superior qualities like light weight, tensile, compressio
Externí odkaz:
https://doaj.org/article/9cf30097638b42c080fc83f4245c0f38
In this paper, we study non-trivial upper bounds for the sum $\sum \limits_{n \in S} |\lambda_f(n)|$ where $f$ is a normalized Maass eigencusp form for the full modular group, $\lambda_f(n)$ is the $n$th normalized Fourier coefficient of $f$ and $S$
Externí odkaz:
http://arxiv.org/abs/2202.00873