Mock Jacobi forms in basic hypergeometric series
نویسندگان
چکیده
منابع مشابه
Mock Jacobi Forms in Basic Hypergeometric Series
We show that some q-series such as universal mock theta functions are linear sums of theta quotient and mock Jacobi forms of weight 1/2, which become holomorphic parts of real analytic modular forms when they are multiplied by suitable powers of q. And we prove that certain linear sums of q-series are weakly holomorphic modular forms of weight 1/2 due to annihilation of mock Jacobi forms or com...
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Abstract. We show that several classical bilateral summation and transformation formulas have semi-finite forms. We obtain these semi-finite forms from unilateral summation and transformation formulas. Our method can be applied to derive Ramanujan’s 1ψ1 summation, Bailey’s 2ψ2 transformations, and Bailey’s 6ψ6 summation. Corresponding Author: William Y. C. Chen, Email: [email protected] AMS Cl...
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ژورنال
عنوان ژورنال: Compositio Mathematica
سال: 2009
ISSN: 0010-437X,1570-5846
DOI: 10.1112/s0010437x09004060