scholarly journals Correction to: New asymptotic formulas for sums over zeros of functions from the Selberg class, Ann. Sci. Math. Québec 34 (2010), no 1, 85–108

2019 ◽  
Vol 44 (1) ◽  
pp. 197-200 ◽  
Author(s):  
Kamel Mazhouda
Keyword(s):  
Asymptotic Formulas ◽  
Selberg Class ◽  
Zeros Of Functions

scholarly journals On the zeros of functions in the Selberg class

2008 ◽  
Vol 38 (2) ◽  
pp. 121-130 ◽  
Author(s):  
Anirban Mukhopadhyay ◽  
Kotyada Srinivas ◽  
Krishnan Rajkumar
Keyword(s):  
Selberg Class ◽  
Zeros Of Functions

scholarly journals Distinct zeros of functions in the Selberg class

2002 ◽  
Vol 103 (3) ◽  
pp. 201-207 ◽  
Author(s):  
K. Srinivas
Keyword(s):  
Selberg Class ◽  
Zeros Of Functions

Asymptotics for rank moments of overpartitions

2014 ◽  
Vol 10 (08) ◽  
pp. 2011-2036 ◽  
Author(s):  
Renrong Mao
Keyword(s):  
Asymptotic Formulas ◽  
Error Terms ◽  
Cranks Of Partitions

Bringmann, Mahlburg and Rhoades proved asymptotic formulas for all the even moments of the ranks and cranks of partitions with polynomial error terms. In this paper, motivated by their work, we apply the same method and obtain asymptotics for the two rank moments of overpartitions.

Asymptotic behavior of solutions of half-linear differential equations and generalized Karamata functions

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Kusano Takaŝi ◽  
Jelena V. Manojlović
Keyword(s):  
Differential Equation ◽  
Asymptotic Behavior ◽  
Continuous Function ◽  
Differential Equations ◽  
Linear Differential Equation ◽  
Regular Variation ◽  
Asymptotic Formulas ◽  
Asymptotic Behavior Of Solutions ◽  
Positive Continuous Function ◽  
Linear Differential

AbstractWe study the asymptotic behavior of eventually positive solutions of the second-order half-linear differential equation(p(t)\lvert x^{\prime}\rvert^{\alpha}\operatorname{sgn}x^{\prime})^{\prime}+q(% t)\lvert x\rvert^{\alpha}\operatorname{sgn}x=0,where q is a continuous function which may take both positive and negative values in any neighborhood of infinity and p is a positive continuous function satisfying one of the conditions\int_{a}^{\infty}\frac{ds}{p(s)^{1/\alpha}}=\infty\quad\text{or}\quad\int_{a}^% {\infty}\frac{ds}{p(s)^{1/\alpha}}<\infty.The asymptotic formulas for generalized regularly varying solutions are established using the Karamata theory of regular variation.

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