Rahul Kumar

Employment

• Indian Institute of Technology Roorkee Assistant Professor
  2024 - Present
• Pennsylvania State University research
  2022 - 2024
• IBS center for Geometry and Physics Research
  2021 - 2022
• Indian Institute of Technology Gandhinagar Postdoctoral Fellow
  2020 - 2021

Education

• Indian Institute of Technology Gandhinagar PhD
  2015 - 2020
• Indian Institute of Technology Kanpur MSc
  2013 - 2015
• Dr. Bhim Rao Ambedkar University BSc
  2009 - 2012

Projects & Funding

Projects & funding information is unavailable.

Publications (43)

• A family of integrals related to values of the Riemann zeta function
  International Journal of Number Theory 2025 DOI: 10.1142/S1793042125500319
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• A note on odd zeta values over any number field and extended Eisenstein series
  Journal of Mathematical Analysis and Applications 2024 DOI: 10.1016/j.jmaa.2023.127883
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• Extended higher Herglotz functions I. Functional equations
  Advances in Applied Mathematics 2024 DOI: 10.1016/j.aam.2023.102622
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• A NOTE ON ODD ZETA VALUES OVER ANY NUMBER FIELD AND EXTENDED EISENSTEIN SERIES
  arXiv 2023 DOI: 10.48550/arXiv.2304.07870
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• ARITHMETIC PROPERTIES OF THE HERGLOTZ-ZAGIER-NOVIKOV FUNCTION
  arXiv 2023 DOI: 10.48550/arXiv.2309.10634
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• Applications of the Lipschitz Summation Formula and a Generalization of Raabe’s Cosine Transform
  Constructive Approximation 2023 DOI: 10.1007/s00365-023-09668-8
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• Arithmetic properties of the Herglotz-Zagier-Novikov function
  Advances in Mathematics 2023 DOI: 10.1016/j.aim.2023.109315
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• Equivalent criterion for the grand Riemann hypothesis associated with Maass cusp forms
  Proceedings of the Royal Society of Edinburgh Section A: Mathematics 2023 DOI: 10.1017/prm.2023.66
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• Extended higher Herglotz function II
  Journal of Mathematical Analysis and Applications 2023 DOI: 10.1016/j.jmaa.2022.126720
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• Extensions of Watson's theorem and the Ramanujan-Guinand formula
  International Journal of Number Theory 2023 DOI: 10.1142/S1793042123500082
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