RISC JKU

Ankush Goswami, Dr.

RISC PostDoc

Publications

Ankush Goswami, Venkata Raghu Tej Pantangi. On sums of coefficients of polynomials related to the Borwein conjectures. Technical report no. 20-07 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. Ramanujan J. (to appear), May 2020. [pdf] [bib]
Ankush Goswami, Venkata Raghu Tej Pantangi. Some formulae for coefficients in restricted $q$-products. Technical report no. 20-08 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. May 2020. [pdf] [bib]
Ankush Goswami. Congruences for generalized Fishburn numbers at roots of unity. Technical report no. 20-09 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. 2020. [pdf] [bib]
Ankush Goswami. A q-analogue for Euler’s evaluations of the Riemann zeta function. Research in Number Theory 5:3, pp. 1-11. 2019. Springer, 10.1007. [bib]
Ankush Goswami. A q-analogue for Euler’s $\zeta(6)=\pi^6/6$. In: Combinatory Analysis 2018: A Conference in Honor of George Andrews' 80th Birthday, Springer-Birkhauser (ed.), Proceedings of Combinatory Analysis 2018: A Conference in Honor of George Andrews' 80th Birthday, pp. 1-5. 2019. none. [bib]
Ankush Goswami. Some Problems in Analytic Number Theory. University of Florida. PhD Thesis. 2019. First part of this thesis is to appear in Proceedings of Analytic and Combinatorial Number Theory: The Legacy of Ramanujan - A CONFERENCE IN HONOR OF BRUCE C. BERNDT'S 80TH BIRTHDAY. [bib]
Ankush Goswami, Abhash Kumar Jha. On the parity of some partition functions. Technical report no. 20-06 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. 2019. [pdf] [bib]
Ankush Goswami. On the generalized divisor function involving small and large prime factors of integers: A duality principle. 2018. Ongoing work. [bib]
Ankush Goswami. On a partial sum related to the Euler totient function. 2018. Ongoing work. [bib]
Ankush Goswami. Some congruences of coefficients of a certain series of Kontsevich-Zagier. 2018. Ongoing work. [bib]


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