Integers without large prime factors in short intervals: conditional results

DOI10.1007/s12044-010-0049-5zbMath1276.11156OpenAlexW1987073558MaRDI QIDQ353945

Goutam Pal, Satadal Ganguly

Publication date: 17 July 2013

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-010-0049-5

zbMATH Keywords

Riemann zeta functionsmooth numbersargument growth of zeta functionfriable numbersnumber of non trivial zeros

Mathematics Subject Classification ID

Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Distribution of integers with specified multiplicative constraints (11N25)

Related Items

Analytic number theory in India during 2001-2010

Cites Work

• On the number of positive integers \(\leq x\) and free of prime factors \(>y\)
• Extreme values of the Riemann zeta function
• Integers without large prime factors
• Topics in multiplicative number theory
• The distribution of smooth numbers in arithmetic progressions
• On smooth integers in short intervals under the Riemann Hypothesis
• Smoothing ‘smooth’ numbers
• Short intervals containing numbers without large prime factors
• The maximum size of L-functions
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