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Root number bias for newforms

Root number bias for newforms

Previously we observed that newforms obey a strict bias towards root number <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="plus 1"> <mml:semantics> <mml:mrow> <mml:mo>+</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> <mml:annotation encoding="application/x-tex">+1</mml:annotation> </mml:semantics> </mml:math> </inline-formula> in squarefree levels: at least half of the newforms in <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper S Subscript k Baseline left-parenthesis normal upper …