une expression de la fonction ζ(s) de Riemann" [Upon an expression for Riemann's ζ function]. Comptes rendus hebdomadaires des séances de l'Académie des...

les fonctions de n variables complexes". Acta Mathematica. 19: 1–61. doi:10.1007/BF02402869. Oka, Kiyoshi (1939). "Sur les fonctions analytiques de plusieurs...

q = R p {\displaystyle |\zeta |\leq \left\|\left(1,\|a\|_{p}\right)\right\|_{q}=R_{p}} holds, for all 1 ≤ p ≤ ∞. Weierstrass factorization theorem, a...

Math. 31 (1900), 264–314. M. F. Vignéras, L'équation fonctionelle de la fonction zêta de Selberg du groupe mudulaire SL ( 2 , Z ) {\displaystyle (2,\mathbb...

S2CID 115619659 Robin, Guy (1984), "Grandes valeurs de la fonction somme des diviseurs et hypothèse de Riemann", Journal de Mathématiques Pures et Appliquées, Neuvième...

ISBN 978-1-58488-347-0. Waldschmidt, M. "Nombres transcendants et fonctions sigma de Weierstrass." C. R. Math. Rep. Acad. Sci. Canada 1, 111-114, 1978/79. Dusko...

^{n}}{\mathrm {d} z^{n}}}z\zeta (z;1/4,0),\quad n\geq 0} where ζ ( ⋅ ; 1 / 4 , 0 ) {\displaystyle \zeta (\cdot ;1/4,0)} is the Weierstrass zeta function with lattice...

D. (1905). "Sur la continuité des fonctions de variables complexes" (PDF). Annales de la Faculté des Sciences de Toulouse. Série 2. 7 (3): 265–315. Titchmarsh...

elliptic functions are used more often in practical problems than the Weierstrass elliptic functions as they do not require notions of complex analysis...

ISBN 978-0-07-010905-6. Backlund, R.-J. (1914) Sur les zéros de la fonction zeta(s) de Riemann, C. R. Acad. Sci. Paris 158, 1979–1982. "Argument, principle...

} An integral such as this was proposed as a definition of π by Karl Weierstrass, who defined it directly as an integral in 1841. Integration is no longer...

order equation with the Painlevé property can be transformed into the Weierstrass elliptic equation or the Riccati equation, which can all be solved explicitly...

among the first to study the Laplace transform, rigorously in the Karl Weierstrass school of analysis, and apply it to the study of differential equations...

ISBN 978-0-262-01506-6. Riesz, Frigyes (1907), "Sur une espèce de Géométrie analytique des systèmes de fonctions sommables", C. R. Acad. Sci. Paris, 144: 1409–1411...

and ω2 are the periods of the Weierstrass elliptic function, and η1 and η2 are the quasiperiods of the Weierstrass zeta function. Some authors normalize...

of special relativity on the basis of hyperbolic geometry in terms of Weierstrass coordinates. For instance, by setting l=ct and v/c=tanh(u) with u as...