Any number of primitive GL(1) and GL(2) L-functions can simultaneously take large values on the critical line unconditionally, improving prior conditional results.
Large greatest common divisor sums and extreme values of the Riemann zeta function.Duke Math
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Resonance method applied to positive-coefficient trigonometric polynomials improves Omega bounds and strengthens results in Dirichlet's divisor and Gauss' circle problems.
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Joint extreme values of $L$-functions on and off the critical line
Any number of primitive GL(1) and GL(2) L-functions can simultaneously take large values on the critical line unconditionally, improving prior conditional results.
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An additive application of the resonance method
Resonance method applied to positive-coefficient trigonometric polynomials improves Omega bounds and strengthens results in Dirichlet's divisor and Gauss' circle problems.