Atul Dixit

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Publications (8)

• Voronoï summation formula for the generalized divisor function $$\sigma _{z}^{(k)}(n)$$
  Research in the Mathematical Sciences 2026 DOI: 10.1007/s40687-026-00632-z
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• The Rogers–Ramanujan dissection of a theta function
  Mathematische Annalen 2025 DOI: 10.1007/s00208-025-03265-9
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• Modular relations involving generalized digamma functions
  Journal of Mathematical Analysis and Applications 2024 DOI: 10.1016/j.jmaa.2024.128479
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• Lambert series of logarithm, the derivative of Deninger’s function $R(z),$ and a mean value theorem for $\zeta \left (\frac {1}{2}-it\right )\zeta '\left (\frac {1}{2}+it\right )$
  Canadian Journal of Mathematics 2024 DOI: 10.4153/S0008414X23000597
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• Recent developments pertaining to Ramanujan’s formula for odd zeta values
  Expositiones Mathematicae 2024 DOI: 10.1016/j.exmath.2024.125602
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• Explicit transformations for generalized Lambert series associated with the divisor function $$\sigma _{a}^{(N)}(n)$$ and their applications
  Research in the Mathematical Sciences 2023 DOI: 10.1007/s40687-023-00401-2
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• A finite analogue of a q-series identity of Bhoria, Eyyunni and Maji and its applications
  Discrete Mathematics 2023 DOI: 10.1016/j.disc.2022.113224
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• GENERALIZED LAMBERT SERIES, RAABE’S COSINE TRANSFORM AND A GENERALIZATION OF RAMANUJAN’S FORMULA FOR
  Nagoya Mathematical Journal 2020 DOI: 10.1017/nmj.2018.38
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