LEADER 02887nam 2200613 450 001 9910822704203321 005 20220819041129.0 010 $a0-8218-8196-5 010 $a0-8218-4869-0 035 $a(CKB)3240000000070040 035 $a(EBL)3113239 035 $a(SSID)ssj0000629316 035 $a(PQKBManifestationID)12239337 035 $a(PQKBTitleCode)TC0000629316 035 $a(PQKBWorkID)10718151 035 $a(PQKB)11711266 035 $a(MiAaPQ)EBC3113239 035 $a(RPAM)16119159 035 $a(PPN)197108458 035 $a(EXLCZ)993240000000070040 100 $a20100304h20102010 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aGems in experimental mathematics $eAMS Special Session, Experimental Mathematics, January 5, 2009, Washington, DC /$fTewodros Amdeberhan, Luis A. Medina, Victor H. Moll, editors 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2010] 210 4$dİ2010 215 $a1 online resource (426 p.) 225 1 $aContemporary mathematics,$v517$x0271-4132 300 $a"This collection [of papers] is a continuation of Tapas in experimental mathematics, volume 457 [Contemporary Mathematics series]"--Preface. 320 $aIncludes bibliographical references. 327 $aA new algorithm for the recursion of hypergeometric multi-sums with improved universal denominator -- 1. Introduction -- 2. Two algorithms -- 3. Use of the program and examples -- 4. Proof of the multi-sum algorithm -- 5. Proof of the universal denominator algorithm -- References -- The method of brackets. Part 2: Examples and applications -- History of the formulas and algorithms for IR -- A matrix form of Ramanujan-type series for 1/E -- An algorithmic approach to the Mellin transform method -- Which partial sums of the Taylor-series for e are convergents to e (and a link to the primes 2, 5, 13, 37, 463). Experimentation at the frontiers of reality in Schubert calculus -- On Sp4 modularity of Picard-Fuchs differential equations for Calabi-Yau three-folds. 410 0$aContemporary mathematics,$v517$x0271-4132 606 $aCombinatorial analysis$vCongresses 606 $aNumber theory$vCongresses 606 $aExperimental mathematics$vCongresses 615 0$aCombinatorial analysis 615 0$aNumber theory 615 0$aExperimental mathematics 676 $a511/.6 702 $aAmdeberhan$b Tewodros$f1971- 702 $aMedina$b Luis A.$f1981- 702 $aMoll$b Victor H.$f1956- 712 02$aAmerican Mathematical Society, 712 12$aAMS Special Session on Experimental Mathematics 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910822704203321 996 $aGems in experimental mathematics$9776981 997 $aUNINA