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Functiones et Approximatio. Commentarii Mathematici 62.1 (2020)

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CONTENTS Part 1 Michael Gil’

An estimate for the number of eigenvalues of a Hilbert–Schmidt

operator in a half-plane . . . 7 Alexander E. Patkowski

On criteria related to the reciprocal of the Riemann zeta function . . . 15 Shuntaro Yamagishi

On an oscillatory integral involving a homogeneous form . . . 21 Jesse Jääsaari, Esa V. Vesalainen

Corrections to: On sums involving Fourier coefficients

of Maass forms for SL(3, Z) . . . 59 Philipp Muth, Jörn Steuding

Joint value-distribution of Dirichlet series associated

with periodic arithmetical functions . . . 63 Stefan Barańczuk

Hasse principle for linear dependence in Mordell–Weil groups . . . 81 Takuya Aoki

A class number calculation of the 5th layer of the cyclotomic

Z2-extension of Q(√5) . . . 87

Vefa Goksel

On the orbit of a post-critically finite polynomial of the form xd+ c . . 95

Giamila Zaghloul

On the linear twist of degree 1 functions in the extended

Selberg class . . . 105 Tian An Wong

On the balanced Voronoï formula for GLN . . . 121

Alex McDonald

Congruence classes of large configurations in vector spaces

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