We give a lower bound for the sup-norm of an-normalized newform in an irreducible, unitary,
cuspidal representation of over a number field. When the central character of is sufficiently …

We prove two principal results. Firstly, we characterise Maass forms in terms of functional
equations for Dirichlet series twisted by primitive characters. The key point is that the twists …

Booker, AR., & Krishnamurthy, M. (2013). Weil's converse theorem with poles. International
Mathematics Research Notices, 201 Page 1 Booker, AR., & Krishnamurthy, M. (2013). Weil's …

Simple zeros of automorphic L-functions Page 1 Simple zeros of automorphic L-functions
Andrew R. Booker, Peter J. Cho and Myoungil Kim Compositio Math. 155 (2019), 1224–1243 …

We prove two results on converse theorems for Hilbert modular forms of higher level over
totally real fields of degree $ r> 1$. The first result recovers a Hilbert modular form (of some …

Simple zeros of degree 2 L-functions Page 1 DOI 10.4171/JEMS/603 J. Eur. Math. Soc. 18,
813–823 c European Mathematical Society 2016 Andrew R. Booker Simple zeros of degree 2 …

Nonvanishing of L-functions, the Ramanujan Conjecture, and Families of Hecke Characters
Page 1 Canad. J. Math. Vol. 65 (1), 2013 pp. 22–51 http://dx.doi.org/10.4153/CJM-2011-068-7 c …

QUANTITATIVE ESTIMATES FOR SIMPLE ZEROS OF L-FUNCTIONS Page 1 Mathematika 65
(2019) 375–399 c 2019 University College London doi:10.1112/S0025579318000530 …

Further refinements of the GL(2) converse theorem Page 1 Bull. London Math. Soc. 45 (2013)
987–1003 Cо2013 London Mathematical Society doi:10.1112/blms/bdt031 Further …

Converse theorems were a central feature of Piatetski-Shapiro's work on automorphic L-
functions, from his first paper on the subject in 1971 to the last applications to functoriality in …