Michael Somos on Fri, 29 Oct 1999 16:26:24 -0400 (EDT) |
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hyperu() bug more |
GP/PARI CALCULATOR Version 2.0.17 (beta) i686 running linux (ix86 kernel) 32-bit version (readline v2.2 enabled, extended help not available) Copyright (C) 1989-1999 by C. Batut, K. Belabas, D. Bernardi, H. Cohen and M. Olivier. Type ? for help, \q to quit. Type ?12 for how to get moral (and possibly technical) support. realprecision = 28 significant digits seriesprecision = 16 significant terms format = g0.28 parisize = 4000000, primelimit = 500000 gp> hyperu(1,2,0) %1 = 51580834970224178120796801.23 gp> hyperu(1,2,.0) %2 = 2396734.892578125000000000000 gp> hyperu(1,2,10^-15) %3 = 999999999999999.9999999995337 My guess is that hyperu(1,2,0) and hyperu(1,2,0.) should both be infinite. The last result supports the hypothesis that hyperu(1,2,x) = 1/x for x real. Shalom, Michael -- Michael Somos <somos@grail.cba.csuohio.edu> Cleveland State University http://grail.cba.csuohio.edu/~somos/ Cleveland, Ohio, USA 44115