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Papers by Ken Ono Proceedings of the American Mathematical Society , 2008
In a recent paper, Folsom and Ono constructed a canonical sequence of weight 1/2 mock theta funct... more In a recent paper, Folsom and Ono constructed a canonical sequence of weight 1/2 mock theta functions and a canonical sequence of weight 3/2 weakly holomorphic modular forms, both using Poincaré series. They show a remarkable symmetry in the coefficients of these functions and conjecture that all the coefficients are integers. We prove that this conjecture is true by giving an explicit construction for the weight 1/2 mock theta functions, using some results found by Guerzhoy.
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The American Mathematical Monthly , 1997
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American Journal of Mathematics , 2002
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Aequationes Mathematicae , 1995
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Advances in Mathematics , 2011
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MATHEMATICS AND ITS APPLICATIONS-DORDRECHT- , Mar 31, 1999
The D-quadratic twist of F, denoted FD, is given by n= l and for Re (s)» 0 its L-function is give... more The D-quadratic twist of F, denoted FD, is given by n= l and for Re (s)» 0 its L-function is given by L (FD, s)=£^= i xD (n) a (n) n-*. These L-functions have analytic continuations to C and satisfy well known functional equations. If A (F, s)=(27r)-T (s) Af'/2L (F, s), then where e=±1 is the so-called sign of the functional equation, and the quadratic twists satisfy
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Acta Arithmetica , 2010
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Current Developments in Mathematics , 2008
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Proceedings of the American Mathematical Society , 2008
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Proceedings of the American Mathematical Society , 2008
In a recent paper, Folsom and Ono constructed a canonical sequence of weight 1/2 mock theta funct... more In a recent paper, Folsom and Ono constructed a canonical sequence of weight 1/2 mock theta functions and a canonical sequence of weight 3/2 weakly holomorphic modular forms, both using Poincaré series. They show a remarkable symmetry in the coefficients of these functions and conjecture that all the coefficients are integers. We prove that this conjecture is true by giving an explicit construction for the weight 1/2 mock theta functions, using some results found by Guerzhoy.
Bookmarks Related papers Mentions View impact
The American Mathematical Monthly , 1997
Bookmarks Related papers Mentions View impact
American Journal of Mathematics , 2002
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Aequationes Mathematicae , 1995
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Advances in Mathematics , 2011
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Advances in Mathematics , 2010
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Advances in Mathematics , 2013
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Advances in Applied Mathematics , 2011
Bookmarks Related papers Mentions View impact
MATHEMATICS AND ITS APPLICATIONS-DORDRECHT- , Mar 31, 1999
The D-quadratic twist of F, denoted FD, is given by n= l and for Re (s)» 0 its L-function is give... more The D-quadratic twist of F, denoted FD, is given by n= l and for Re (s)» 0 its L-function is given by L (FD, s)=£^= i xD (n) a (n) n-*. These L-functions have analytic continuations to C and satisfy well known functional equations. If A (F, s)=(27r)-T (s) Af'/2L (F, s), then where e=±1 is the so-called sign of the functional equation, and the quadratic twists satisfy
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Acta Arithmetica , 2010
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Acta Arithmetica , 2005
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Acta Arithmetica , 2004
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Acta Arithmetica , 2003
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Acta Arithmetica , 2006
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Current Developments in Mathematics , 2008
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Proceedings of the American Mathematical Society
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Proceedings of the Japan Academy, Series A, Mathematical Sciences
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Journal of the Indian Mathematical Society
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Proceedings of the American Mathematical Society , 2008
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Papers by Ken Ono