Alexander Aycock

activity

20112023

most citedInstitutiones calculi differentialis cum eius usu in analysi finitorum ac doctrina serierum

51 citations · 83 across the 22 of their papers we have counts for

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Showing 2013Show all

4 papers · 1 filter

math.HO2013★ 2 cited

Translation of the C.J. Malmstén's paper De integralibus quibusdam definitis, seriebusque infinitis

Alexander Aycock

We translate the paper De Integralibus quibusdam definitis, seriebusque infinitis

math.NT2013

On proving some of Ramanujan's formulas for $\frac{1}{π}$ with an elementary method

Alexander Aycock

In this paper we want to prove some formulas listed by S. Ramanujan in his paper "Modular equations and approximations to $π$ " \cite{24} with an elementary method.

math.HO2013

Notes and Remarks on certain logarithmic integrals

Alexander Aycock

Logarithmic integrals revisited. We consider integrals of the form $\int_{0}^{1} ln ln (\frac{1}{x}) R (x) d x$ again, where $R (x)$ is a rational function, and we will explai…

math.HO2013★ 3 cited

Note on Malmstèn's paper De Integralibus quibusdam definitis seriebusque infinitis

Alexander Aycock

We present a proof of the functional equation of the Riemann zeta-function or more precisely the Dirichlet eta-function, which proof seems to be new but follows almost immediately…

Translation of the C.J. Malmstén's paper De integralibus quibusdam definitis, seriebusque infinitis

On proving some of Ramanujan's formulas for π1​ with an elementary method

Notes and Remarks on certain logarithmic integrals

Note on Malmstèn's paper De Integralibus quibusdam definitis seriebusque infinitis

On proving some of Ramanujan's formulas for $\frac{1}{π}$ with an elementary method