Bernhard von Jacobi als Tod, Rollenbild

Signatur des Originals: S 36/F04767

Registrum in sermones Jacobi de voragine de tempore.

Hojas imp. por ambas caras

Aureum opus regalium priuilegiorum ciuitatis et regni Valentie : cum historia cristianissimi Regis Jacobi ...

Texto en latin y valenciano

D. Jacobi Parez de Valêtia... In centû & quinquagita [sic] psalmos Dauidico quos oês a Dauid prophetice côpositos ad illustratione fidei nostrae conuincit...

Fecha en colofón

D. Jacobi Parez [sic] de Vale[n]tia ... ordinis diui Augustini ... expositiones in. CL. psal. Dauidicos ... Cantica ferialia in biblijs contenta. Cantica eua[n]gelica B[e]n[e]dictus Magnificat nu[n]c dimit. Gl[or]ia in excel. Ca[n]ticu[m] Amb. et Aug. Te Deum. Cantica canticor[um] Premissis Questio[n]ib[us] et earu[m] subtilissimis resolutionibus co[n]tra Judeos nostre fidei adversa [Texto impreso] : Cum tabula in totu[m] opus collecta

Marca tip. en port. y colofón en h. [27]

New infinite families of exact sums of squares formulas, Jacobi elliptic functions, and Ramanujan’s tau function

In this paper, we give two infinite families of explicit exact formulas that generalize Jacobi’s (1829) 4 and 8 squares identities to 4n2 or 4n(n + 1) squares, respectively, without using cusp forms. Our 24 squares identity leads to a different formula for Ramanujan’s tau function τ(n), when n is odd. These results arise in the setting of Jacobi elliptic functions, Jacobi continued fractions, Hankel or Turánian determinants, Fourier series, Lambert series, inclusion/exclusion, Laplace expansion formula for determinants, and Schur functions. We have also obtained many additional infinite families of identities in this same setting that are analogous to the η-function identities in appendix I of Macdonald’s work [Macdonald, I. G. (1972) Invent. Math. 15, 91–143]. A special case of our methods yields a proof of the two conjectured [Kac, V. G. and Wakimoto, M. (1994) in Progress in Mathematics, eds. Brylinski, J.-L., Brylinski, R., Guillemin, V. & Kac, V. (Birkhäuser Boston, Boston, MA), Vol. 123, pp. 415–456] identities involving representing a positive integer by sums of 4n2 or 4n(n + 1) triangular numbers, respectively. Our 16 and 24 squares identities were originally obtained via multiple basic hypergeometric series, Gustafson’s Cℓ nonterminating 6φ5 summation theorem, and Andrews’ basic hypergeometric series proof of Jacobi’s 4 and 8 squares identities. We have (elsewhere) applied symmetry and Schur function techniques to this original approach to prove the existence of similar infinite families of sums of squares identities for n2 or n(n + 1) squares, respectively. Our sums of more than 8 squares identities are not the same as the formulas of Mathews (1895), Glaisher (1907), Ramanujan (1916), Mordell (1917, 1919), Hardy (1918, 1920), Kac and Wakimoto, and many others.

Tractatus posthumus Jani Jacobi Boissardi Vesuntini De divinatione & magicis praestigiis : quarum veritas ac vanitas solidè exponitur per descriptionem deorum fatidicorum qui olim responsa dederunt : eorundemque prophetarum, sacerdotum, phoebadum, sybyllarum & divinorum, qui priscis temporibus celebres oraculis exstiterunt ; adjunctis simul omnium effigiebus, ab ipso autore e gemmis, marmoribus, tabulisq[ue] antiquis ad vivum delineatus : jam modo eleganter aeri incisis per Joh. Theodor. de Bry ...

Includes errata, last p.

Line and area orthogonality of Jacobi polynomials,

"Supported in part by contract U.S. AEC AT(11-1) 1469 and grant NSF-6J-217".

On Jacobi and Jacobi-like algorithms for a parallel computer /

Includes bibliographies.

Jacobi Cujacij ... Opera omnia in decem tomos distributa quibus continentur tam priora, sive quae ipse superstes edi curavit : quam posteriora, sive quae post obitum ejus edita sunt; jam à Carolo Annibale Fabroto J. C. disposita. Accessere in hac novissima editione ab eruditissimo viro graecorum versio locorum hactenus ab omnibus desiderata ... praeterea dissertatio Emundi Merillii, & interpretatio ab eodem facta variantium ex Cujacio observatarum, quae per totum opus suo quae que loco variante notantur; postremo controversiae Joannis Roberti ejusdemque notae in responsiones à Cujacio nomine Antonii Mercatoris editas; quae majori eruditorum commodo in ipsis observationibus afferuntur, studio & diligentia Liborj Ranii ...

Binder's title: Civiacii opera, tom. XI.

Jacobi Lopidis Stunicae Itinerarium ab Hispania vsq[ue] ad vrbem Romanã : in quo multa varia ac scitu dignissima cõtinent̃.

T.p. vignette is large woodcut of the author's arms.

Opera omnia : novo ordine digesta & in V tomos distributa ... quibus accessêre Henrici de Hassia, Petri de Alliaco, Johannis Brevicoxae, Joannis de Varenis ... ac insuper Jacobi Alaïni & Joannis Majoris tractatus, partim inediti, necnon monumenta omnia ad causam Joannis Parvi pertinentia, opera et studio M. Lud. Ellies Du Pin ... qui huic novae editioni praefixit Gersoniana.

Xerographic copy.

Jacobi de Bois ... Dialogus theologico-astronomicus, in quo ventilatur quaestio astronomica ...

Mode of access: Internet.

Vera Ecclesia Christi signis ac dogmatibus : demonstrata contra Jacobi Picenini Apologiam /

Mode of access: Internet.