Celebratio Mathematica

Paul T. Bateman

Number theory  ·  UIUC

Complete bibliography

Works connected to Marvin Isadore Knopp

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P. T. Bate­man, P. Er­dős, C. Pom­er­ance, and E. G. Straus: “The arith­met­ic mean of the di­visors of an in­teger,” pp. 197–​220 in Ana­lyt­ic num­ber the­ory (Phil­adelphia, PA, 12–15 May 1980). Edi­ted by M. I. Knopp. Lec­ture Notes in Math­em­at­ics 899. Spring­er (Ber­lin), 1981. Ded­ic­ated to Emil Gross­wald on the oc­ca­sion of his sixty-eighth birth­day. MR 654528 Zbl 0478.​10027 incollection

P. T. Bate­man: “In­tegers ex­press­ible in a giv­en num­ber of ways as a sum of two squares,” pp. 37–​45 in A trib­ute to Emil Gross­wald: Num­ber the­ory and re­lated ana­lys­is. Edi­ted by M. I. Knopp and M. Shein­gorn. Con­tem­por­ary Math­em­at­ics 143. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1993. Ded­ic­ated to the memory of Eliza­beth and Emil Gross­wald. MR 1210510 Zbl 0790.​11032 incollection

P. T. Bate­man and M. I. Knopp: “Some new old-fash­ioned mod­u­lar iden­tit­ies,” Ramanu­jan J. 2 : 1–​2 (1998), pp. 247–​269. Ded­ic­ated to the memory of Paul Er­dős. MR 1642881 Zbl 0909.​11018 article

P. T. Bate­man, B. A. Dat­skovsky, and M. I. Knopp: “Sums of squares and the pre­ser­va­tion of mod­u­lar­ity un­der con­gru­ence re­stric­tions,” pp. 59–​71 in Sym­bol­ic com­pu­ta­tion, num­ber the­ory, spe­cial func­tions, phys­ics and com­bin­at­or­ics (Gaines­ville, FL, 11–13 Novem­ber 1999). Edi­ted by F. G. Gar­van and M. E. H. Is­mail. De­vel­op­ments in Math­em­at­ics 4. Kluwer Aca­dem­ic (Dordrecht), 2001. MR 1880079 Zbl 1040.​11018 incollection