ON THE SOLUTION FOR THE DIFFUSION EQUATION RELATED TO THE L-FUNCTIONS ATTACHED TO CUSP FORMS

被引：1

作者：

Yang, Xiao-Jun ^{[1
,2
,3
,4
]}

Abdel-Aty, Mahmoud ^{[5
]}

Hayat, Tasawar ^{[6
,7
]}

机构：

[1] China Univ Min & Technol, State Key Lab Geomech & Deep Underground Engn, Xuzhou, Peoples R China

[2] China Univ Min & Technol, Sch Math, Xuzhou, Peoples R China

[3] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia

[4] Kyung Hee Univ, Coll Sci, Dept Math, Seoul, South Korea

[5] Sohag Univ, Fac Sci, Math Dept, Sohag, Egypt

[6] Zewail City Sci & Technol, Ctr Photon & Smart Mat CPSM, Zewail, Egypt

[7] Quaid i Azam Univ, Dept Math, Islamabad, Pakistan

来源：

THERMAL SCIENCE | 2023年 / 27卷 / 1B期

关键词：

diffusion equation; entire function; L-functions; cusp forms; Fourier cosine transform;

D O I：

10.2298/TSCI221106012Y

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

In this article we suggest the entire functions associated with the L-functions at-tached to cusp forms. The entire function defined by the Fourier cosine transform is the solution for the diffusion equation in 1-D case. We propose three conjectures for the zeros of three entire functions of order one via theory of entire functions.

引用

页码：521 / 526

页数：6

共 50 条

[31] The cubic moment of Hecke–Maass cusp forms and moments of L-functions
Bingrong Huang
Mathematische Annalen, 2024, 389 : 899 - 945
[32] Symmetric Squares of Hecke L-Functions and Fourier Coefficients of Cusp Forms
O. M. Fomenko
Journal of Mathematical Sciences, 2004, 122 (6) : 3699 - 3708
[33] Determination of cusp forms by central values of Rankin–Selberg L-functions*
Qinghua Pi
Lithuanian Mathematical Journal, 2011, 51 : 543 - 561
[34] MODULES OF CONGRUENCE OF HECKE ALGEBRAS AND L-FUNCTIONS ASSOCIATED WITH CUSP FORMS
HIDA, H
AMERICAN JOURNAL OF MATHEMATICS, 1988, 110 (02) : 323 - 382
[35] On the zeros on the critical line of L-functions corresponding to automorphic cusp forms
I. S. Rezvyakova
Mathematical Notes, 2010, 88 : 423 - 439
[36] The cubicmoment of Hecke-Maass cusp forms andmoments of L-functions
Huang, Bingrong
MATHEMATISCHE ANNALEN, 2024, 389 (01) : 899 - 945
[37] Zeros of a family of approximations of Hecke L-functions associated with cusp forms
Li, Junxian
Roy, Arindam
Zaharescu, Alexandru
RAMANUJAN JOURNAL, 2016, 41 (1-3): : 391 - 419
[38] L-FUNCTIONS ATTACHED TO JACOBI FORMS OF DEGREE-N .2. FUNCTIONAL-EQUATION
MURASE, A
MATHEMATISCHE ANNALEN, 1991, 290 (02) : 247 - 276
[39] MOCK MODULAR PERIOD FUNCTIONS AND L-FUNCTIONS OF CUSP FORMS IN HIGHER LEVEL CASES
Choi, Soyoung
Kim, Chang Heon
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2014, 142 (10) : 3369 - 3386
[40] Zero-density estimate of L-functions attached to Maass forms
Sankaranarayanan, A.
Sengupta, J.
ACTA ARITHMETICA, 2007, 127 (03) : 273 - 284

← 1 2 3 4 5 →