Rahul Kumar
Indian Institute of Technology Gandhinagar
17 Papers
7 Citations
Rahul Kumar is an academic researcher from Indian Institute of Technology Gandhinagar. The author has contributed to research in topics: Hurwitz zeta function & Series (mathematics). The author has an hindex of 4, co-authored 11 publications.
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Papers
The Kerala flood of 2018: combined impact of extreme rainfall and reservoir storage
TL;DR: In this paper, the authors examined the return period of extreme rainfall and the potential role of reservoirs in the recent flooding in Kerala and showed that Kerala experienced 53% above normal rainfall during the monsoon season (till August 21st) of 2018.
Dominant control of agriculture and irrigation on urban heat island in India
TL;DR: In this paper, the authors use satellite observations and the Community Land Model (CLM) to identify the impact of irrigation and prove for the first time that Urban Cool Island (UCI) is caused by lack of vegetation and moisture in non-urban areas relative to cities.
Generalized lambert series, raabe’s cosine transform and a generalization of ramanujan’s formula for
TL;DR: In this paper, a comprehensive study of the generalized Lambert series, and several new transformations of this series are derived using a deep result on Raabe's cosine transform that they obtain here.
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•Posted Content
Superimposing theta structure on a generalized modular relation
Atul Dixit,Rahul Kumar +1 more
TL;DR: In this paper, a generalized modular relation of the form F(z, w, \alpha) = F (z, iw, \beta), where α is a generalization of the Hurwitz zeta function, was obtained in the course of evaluating an integral involving the Riemann $\Xi$-function.
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Superimposing theta structure on a generalized modular relation
Atul Dixit,Rahul Kumar +1 more
TL;DR: In this article, a generalized modular relation of the form $$F(z, w, \alpha )=F(iw, iw,\beta )$$� was obtained in the course of evaluating an integral involving the Riemann $$\Xi $$>>\ -function.
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