Silviu Radu,
"An algorithmic approach to Ramanujan congruences"
, in The Ramanujan Journal, Vol. 20, Nummer 2, Seite(n) 215-251, 2009, ISSN: 1382-4090
Original Titel:
An algorithmic approach to Ramanujan congruences
Sprache des Titels:
Englisch
Original Kurzfassung:
In this paper we present an algorithm that takes as input a generating function of the form ???|??????=1(1???????)????=????=0??(??)???? and three positive integers m,t,p, and which returns true if ??(????+??)?0(mod??),???0, or false otherwise. Our method builds on work by Rademacher (Trans. Am. Math. Soc. 51(3):609?636, 1942), Kolberg (Math. Scand. 5:77?92, 1957), Sturm (Lecture Notes in Mathematics, pp. 275?280, Springer, Berlin/Heidelberg, 1987), Eichhorn and Ono (Proceedings for a Conference in Honor of Heini Halberstam, pp. 309?321, 1996).