Microsoft Word - Compass Security Change Request Form_CentralFinance_v5.docx

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TATE-SHAFAREVICH GROUPS OF THE CONGRUENT NUMBER ELLIPTIC CURVES Ken Ono Abstract. Using elliptic modular functions, Kronecker proved a number of recurrence relations for suitable class numbers of positive binary quadrati

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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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RAMANUJAN’S TERNARY QUADRATIC FORM Ken Ono and K. Soundararajan Inventiones Mathematicae, 130, 3, 1997, pagesIntroduction

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INDIVISIBILITY OF CLASS NUMBERS OF REAL QUADRATIC FIELDS Ken Ono To T. Ono, my father, on his seventieth birthday. Abstract. Let D denote the fundamental discriminant of a real quadratic field, and let

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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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EULER’S CONCORDANT FORMS Ken Ono 1. Introduction In [6] Euler asks for a classification of those pairs of distinct non-zero integers M and N

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FY2015 Annual Energy Report Fiscal Year 2015 In 2005, Emory pledged to reduce energy use, per square foot, by 25 percent in 10 years. Thanks to a shared vision and strong commitment to sustainability, the university has

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• Energy conversion
• Heating
• ventilating
• and air conditioning
• Alternative energy
• Solar energy
• Efficient energy use
• Water heating
• District heating
• Green building

SOME RECURRENCES FOR ARITHMETICAL FUNCTIONS Ken Ono, Neville Robbins, Brad Wilson Journal of the Indian Mathematical Society, 62, 1996, pagesAbstract. Euler proved the following recurrence for p(n), the number o

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