p-Adic Properties of Coefficients of Weakly Holomorphic Modular Forms
Copyright policy )p-Adic Properties of Coefficients of Weakly Holomorphic Modular Forms
We examine the Fourier coefficients of modular forms in a canonical basis for the spaces of weakly holomorphic modular forms of weights 4, 6, 8, 10, and 14, and show that these coefficients are often highly divisible by the primes 2, 3, and 5.
16 pages
- Brigham Young University Idaho United States
Fourier coefficients of automorphic forms, Mathematics - Number Theory, FOS: Mathematics, Fourier coefficients, modular forms, Number Theory (math.NT), 11F33, 11F37, Congruences for modular and \(p\)-adic modular forms, Forms of half-integer weight; nonholomorphic modular forms, p-adic properties
Fourier coefficients of automorphic forms, Mathematics - Number Theory, FOS: Mathematics, Fourier coefficients, modular forms, Number Theory (math.NT), 11F33, 11F37, Congruences for modular and \(p\)-adic modular forms, Forms of half-integer weight; nonholomorphic modular forms, p-adic properties
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