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Author Comment/Response
Eric Freden
06/06/13 11:44am

In Response To 'Re: bug in Series[] function'
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Let's try this again, without the numeric computations. See attached notebook.

Note that by definition, S[z] is not a rational function

(* the exponents defined by g[n] will skip an integer when it runs across a prime; when this happens the power series has zero as coefficient; these zeros occur irregularly and don't allow the coefficients to satisfy a linear recurrence *)

in particular, S[z] does not equal T[z] although the
latter is a majorant for the former.

Yet the Series[] function claims that S[z]=T[z] as power series!

Note: if we change the defining sum for S[z] to run from 1 to 1000, say, then Series[] gets it right. But going from 1 to Infinity results in an error.

Attachment: series_bug.nb, URL: ,

Subject (listing for 'bug in Series[] function')
Author Date Posted
bug in Series[] function Eric Freden 06/03/13 2:31pm
Re: bug in Series[] function yehuda 06/06/13 09:50am
Re: Re: bug in Series[] function Eric Freden 06/06/13 11:44am
Re: Re: Re: bug in Series[] function Forum Modera... 06/07/13 4:59pm
Re: Re: Re: Re: bug in Series[] function Forum Modera... 06/10/13 2:11pm
Re: Re: Re: bug in Series[] function yehuda 06/08/13 2:22pm
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