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The Sum of Reciprocals of Polygonal Numbers: A Spreadsheet Based Illustration

Spreadsheets in Education
This pedagogic note considers the sum of reciprocals of polygonal numbers. Closed form expressions of the sum are currently available for twelve specific cases, from triangles to 26-sided polygons. Several of these expressions are from featured solutions
Clarence C. Y. Kwan
doaj  

Residue class biases in unrestricted partitions, partitions into distinct parts, and overpartitions. [PDF]

Res Math Sci
Schlosser MJ, Zhou NH.
europepmc   +1 more source

On Generalized Schürmann Entropy Estimators. [PDF]

Entropy (Basel), 2022
Grassberger P.
europepmc   +1 more source

Entropy Estimators for Markovian Sequences: A Comparative Analysis. [PDF]

Entropy (Basel)
De Gregorio J, Sánchez D, Toral R.
europepmc   +1 more source

Exponential generating function of hyperharmonic numbers indexed by arithmetic progressions

Open Mathematics, 2013
Mező István
doaj   +1 more source

Compressive Sensing via Variational Bayesian Inference under Two Widely Used Priors: Modeling, Comparison and Discussion. [PDF]

Entropy (Basel), 2023
Shekaramiz M, Moon TK.
europepmc   +1 more source

Quantitative Analysis of Phase Response Enhancement in Distributed Acoustic Sensing Systems Using Helical Fiber Winding Technology. [PDF]

Sensors (Basel)
Duan Y, Du S, Chen T, Guo C, Wu S, Liang L.   +5 more
europepmc   +1 more source

Monte Carlo simulation for evaluating and optimizing the efficiency of BR and QIR maintenance strategies. [PDF]

Sci Rep
Cheikh K, Boudi EM, Rabi R, Mokhliss H.
europepmc   +1 more source

New sharp inequalities for approximating the factorial function and the digamma function [PDF]

, 2010
Cristinel Mortici
openalex   +1 more source

THE MODULAR RELATION AND THE DIGAMMA FUNCTION

THE MODULAR RELATION AND THE DIGAMMA FUNCTION
In this paper we shall locate a class of fundamental identities for the gamma function and trigonometric functions in the chart of functional equations for the zeta-functions as a manifestation of the underlying modular relation. We use the beta-transform but not the inverse Heaviside integral. Instead we appeal to the reciprocal relation for the Euler
openaire