WEIERSTRASS MOCK MODULAR FORMS AND ELLIPTIC CURVES CLAUDIA ALFES, MICHAEL GRIFFIN, KEN ONO, AND LARRY ROLEN Abstract. Mock modular forms, which give the theoretical framework for Ramanujan’s enigmatic mock theta functi

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CONGRUENCES FOR FROBENIUS PARTITIONS Ken Ono Abstract. The partition function p(n) has several celebrated congruence properties which reflect the action of the Hecke operators on certain holomorphic modular forms.

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Introduction to Modular Forms Mike Welby 27th November, 2015 Mike Welby

Source URL: www.maths.nuigalway.ie

• Mathematical analysis
• Modular forms
• Mathematics
• Complex analysis
• Eisenstein series
• Modular group
• Almost holomorphic modular form
• Weakly holomorphic modular form

DIFFERENTIAL ENDOMORPHISMS FOR MODULAR FORMS ON Γ0 (4) Ken Ono Proceedings of Gainesville 1999 Conference. Abstract. In this note we construct a graded family of endomorphisms on Mk (Γ0 (4), χk ) using differential op

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ON p-ADIC MODULAR FORMS AND THE BLOCH-OKOUNKOV THEOREM MICHAEL J. GRIFFIN, MARIE JAMESON, AND SARAH TREBAT-LEDER Abstract. Bloch-Okounkov studied certain functions on partitions f called shifted symmetric polynomials. Th

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A NOTE ON THE SHIMURA CORRESPONDENCE AND THE RAMANUJAN τ (n) FUNCTION KEN ONO Abstract. The Shimura correspondence is a family of maps which sends modular forms of half-integral weight to forms of integral weight by a M

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Proc. Indian Acad. Sci. (Math. Sci.), Voi. 104, No. 1, February 1994, ppPrinted in India. Modular forms and differential operators D O N ZAGIER Max-Planck-lnstitut fiir Mathematik, Gottfried-Claren Str. 26, 53

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• Lie groups
• Modular forms
• Lie algebras
• Several complex variables
• Non-associative algebras
• Vertex operator algebra
• RankinCohen bracket
• Theta function
• Differential operator
• Mutation
• Algebra over a field
• Binomial coefficient

A COMPUTATION OF MODULAR FORMS OF WEIGHT ONE AND SMALL LEVEL KEVIN BUZZARD AND ALAN LAUDER Abstract. We report on a computation of holomorphic cuspidal modular forms of weight one and small level (currently level at most

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FOURIER COEFFICIENTS OF HALF-INTEGRAL WEIGHT MODULAR FORMS MODULO ` Ken Ono and Christopher Skinner Appearing in the Annals of Mathematics

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