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MODULAR FORMS AND SOME CASES OF THE INVERSE GALOIS PROBLEM
MODULAR FORMS SOME CASES INVERSE GALOIS PROBLEM
2015/8/26
We prove new cases of the inverse Galois problem by considering the residual Galois representations arising from a fixed newform. Specific choices of weight 3 newforms will show thatthere are Galois e...
On the Fourier coefficients of 2-dimensional vector-valued modular forms
Fourier coefficients 2-dimensional vector-valued modular forms
2010/11/30
Let : SL(2,Z) → GL(2,C) be an irreducible representation of the modular group such that (T) has finite order N. We study holomorphic vector-valued modular forms F( ) of integral weight associated ...
Benford's Law For Coefficients of Modular Forms and Partition Functions
Benford's Law Coefficients of Modular Forms Partition Functions
2010/11/30
Here we prove that Benford’s law holds for coefficients of an infinite class of modular forms. Expanding the work of Bringmann and Ono on exact formulas for harmonic Maass forms, we derive the necessa...
We give upper bounds on the size of the gap between a non-zero constant term and the next non-zero Fourier coefficient of an entire level two modular form. We give upper bounds for the minimum positiv...
