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Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions

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Lower bounds for Petersson inner products of cuspforms with integral Fourier coefficients

In Schulze-Pillot, Yenrice "Petersson Products of bases of spaces of cusp forms" Theorem 11, they mention a bound which might answer b). For a newform $f$ of level $N$ it states $$\langle f,f\rangle\ …
Nodt Greenish's user avatar