A Differential Equation for an Eisenstein Series of Genus Two | Zendy

Howard L. Resnikoff | Zendy

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A Differential Equation for an Eisenstein Series of Genus Two

Author(s) -

Howard L. Resnikoff

Publication year - 1970

Publication title -

proceedings of the national academy of sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 5.011

H-Index - 771

eISSN - 1091-6490

pISSN - 0027-8424

DOI - 10.1073/pnas.65.3.495

Subject(s) - eisenstein series , modular form , mathematics , genus , differential equation , modular curve , modular elliptic curve , elliptic curve , universal differential equation , first order partial differential equation , algebraic differential equation , homogeneous differential equation , modular design , function (biology) , series (stratigraphy) , mathematical analysis , order (exchange) , pure mathematics , quarter period , exact differential equation , ordinary differential equation , biology , computer science , differential algebraic equation , botany , operating system , paleontology , evolutionary biology , finance , economics

A nonlinear differential equation of order 8 satisfied by the Eisenstein series of weight 4 for Siegel's modular group of genus two is presented. This equation plays a role in the theory of modular functions of genus two similar to that played by the differential equation of the Weierstrass [unk]-function associated with elliptic curve.

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