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- W2023845030 abstract "Given <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=epsilon greater-than 0> <mml:semantics> <mml:mrow> <mml:mi>ε<!-- ε --></mml:mi> <mml:mo>></mml:mo> <mml:mn>0</mml:mn> </mml:mrow> <mml:annotation encoding=application/x-tex>varepsilon > 0</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, we show that there are infinitely many sequences of consecutive <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=epsilon n> <mml:semantics> <mml:mrow> <mml:mi>ε<!-- ε --></mml:mi> <mml:mi>n</mml:mi> </mml:mrow> <mml:annotation encoding=application/x-tex>varepsilon n</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-smooth polynomials over a finite field. The number of polynomials in each sequence is approximately <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=ln ln ln n> <mml:semantics> <mml:mrow> <mml:mi>ln</mml:mi> <mml:mo><!-- --></mml:mo> <mml:mi>ln</mml:mi> <mml:mo><!-- --></mml:mo> <mml:mi>ln</mml:mi> <mml:mo><!-- --></mml:mo> <mml:mi>n</mml:mi> </mml:mrow> <mml:annotation encoding=application/x-tex>ln ln ln n</mml:annotation> </mml:semantics> </mml:math> </inline-formula>." @default.
- W2023845030 created "2016-06-24" @default.
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- W2023845030 date "2006-11-13" @default.
- W2023845030 modified "2023-09-24" @default.
- W2023845030 title "Sequences of consecutive smooth polynomials over a finite field" @default.
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- W2023845030 doi "https://doi.org/10.1090/s0002-9939-06-08611-4" @default.
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