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math.NT2019
On supercongruences for truncated sums of squares of basic hypergeometric series
Mohamed El Bachraoui
Congruences of truncated sums of infinite series do not directly extend to congruences of the truncated sums of higher powers of these infinite series. Guo and Zudilin recently est…
math.NT2019
On series identities of Gosper and integrals of Ramanujan theta function
Mohamed El Bachraoui
We prove some Lambert series which were stated by Gosper without proof or reference. As an application, we shall evaluate integrals involving Ramanujan theta function . Furth…