Abhimanyu Kumar

About

During the covid-19 lockdown, I developed a new way of utilizing my leisure time by contributing to the Online Encyclopedia of Integer Sequences (OEIS). I have modified an existing sequence A118851, and also introduced four new sequences A339095, A339148, A339188, and A339270. These can be viewed at:
https://oeis.org/A118851
https://oeis.org/A339095
https://oeis.org/A339148
https://oeis.org/A339188
https://oeis.org/A339270

Employment

Employment history is unavailable.

Education

• California Institute of Technology M.S. Electrical
  2022 - 2024

Projects & Funding

Projects & funding information is unavailable.

Publications (14)

• Statistical inequalities on partition norms
  The Ramanujan Journal 2026 DOI: 10.1007/s11139-026-01350-4
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• Derivation of discrete analog of Breeden–Litzenberger relation for risk-neutral density
  International Journal of Financial Engineering 2025 DOI: 10.1142/S2424786323500615
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• Insulated primes
  Notes on Number Theory and Discrete Mathematics 2024 DOI: 10.7546/nntdm.2024.30.3.602-612
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• Parameter Estimation in a System of Integro-Differential Equations With Time-Delay
  IEEE Transactions on Circuits and Systems II: Express Briefs 2023 DOI: 10.1109/TCSII.2023.3276080
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• Novel computational technique for the direct estimation of risk-neutral density using call price data quotes
  Computational and Applied Mathematics 2023 DOI: 10.1007/s40314-023-02395-7
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• Investigation of norms of overpartitions
  The Ramanujan Journal 2023 DOI: 10.1007/s11139-022-00637-6
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• Phenomenon in DC lines analogous to proximity effect
  The European Physical Journal Plus 2022 DOI: 10.1140/epjp/s13360-022-02955-6
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• On two new relations between continuous analog signal and discrete-time sequence
  Mechanical Systems and Signal Processing 2022 DOI: 10.1016/j.ymssp.2021.108649
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• PRIME FLOOR AND PRIME CEILING FUNCTIONS
  Integers 2022
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• Analytic study of norms of prime partitions
  Bulletin des Sciences Mathématiques 2021 DOI: 10.1016/j.bulsci.2021.103038
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