Dixit, Atul; Gupta, Rajat; Kumar, Rahul Extended higher Herglotz functions. I: Functional equations. (English) Zbl 07796442 Adv. Appl. Math. 153, Article ID 102622, 41 p. (2024). MSC: 30D05 30E15 33E20 PDFBibTeX XMLCite \textit{A. Dixit} et al., Adv. Appl. Math. 153, Article ID 102622, 41 p. (2024; Zbl 07796442) Full Text: DOI arXiv
Berndt, Bruce C.; Dixit, Atul; Gupta, Rajat; Zaharescu, Alexandru Two general series identities involving modified Bessel functions and a class of arithmetical functions. (English) Zbl 07755500 Can. J. Math. 75, No. 6, 1800-1830 (2023). MSC: 33C10 33C05 11A25 11M06 11M32 PDFBibTeX XMLCite \textit{B. C. Berndt} et al., Can. J. Math. 75, No. 6, 1800--1830 (2023; Zbl 07755500) Full Text: DOI arXiv
Berndt, Bruce C.; Dixit, Atul; Gupta, Rajat; Zaharescu, Alexandru A class of identities associated with Dirichlet series satisfying Hecke’s functional equation. (English) Zbl 1522.33005 Proc. Am. Math. Soc. 150, No. 11, 4785-4799 (2022). MSC: 33C10 11M06 PDFBibTeX XMLCite \textit{B. C. Berndt} et al., Proc. Am. Math. Soc. 150, No. 11, 4785--4799 (2022; Zbl 1522.33005) Full Text: DOI arXiv
Dixit, Atul; Gupta, Rajat Koshliakov zeta functions I: modular relations. (English) Zbl 1485.11127 Adv. Math. 393, Article ID 108093, 41 p. (2021). Reviewer: Roma Kačinskaitė (Kaunas) MSC: 11M06 11M99 33E99 PDFBibTeX XMLCite \textit{A. Dixit} and \textit{R. Gupta}, Adv. Math. 393, Article ID 108093, 41 p. (2021; Zbl 1485.11127) Full Text: DOI arXiv
Dixit, Atul; Gupta, Rajat; Kumar, Rahul; Maji, Bibekananda Generalized Lambert series, Raabe’s cosine transform and a generalization of Ramanujan’s formula for \(\zeta (2m+1)\). (English) Zbl 1462.11064 Nagoya Math. J. 239, 232-293 (2020). Reviewer: Khristo N. Boyadzhiev (Ada) MSC: 11M06 11J81 PDFBibTeX XMLCite \textit{A. Dixit} et al., Nagoya Math. J. 239, 232--293 (2020; Zbl 1462.11064) Full Text: DOI
Dixit, Atul; Gupta, Rajat On squares of odd zeta values and analogues of Eisenstein series. (English) Zbl 1470.11219 Adv. Appl. Math. 110, 86-119 (2019). MSC: 11M06 11J81 PDFBibTeX XMLCite \textit{A. Dixit} and \textit{R. Gupta}, Adv. Appl. Math. 110, 86--119 (2019; Zbl 1470.11219) Full Text: DOI