Hugh L. Montgomery

Topics in Multiplicative Number Theory

• Broschiertes Buch

Produktbeschreibung

Three basic principles.- The large sieve.- Arithmetic formulations of the large sieve.- A weighted sieve and its application.- A lower bound of Roth.- Classical mean value theorems.- New mean value theorems.- Large moduli theorems.- Further results and conjectures concerning mean and large moduli.- Mean moduli of L-functions.- Zero-free regions and the proliferation of zeros.- Distribution of zeros of L-functions.- Least character non-residues and arg L(12+it, x).- The prime number theorems of Hoheisel and Selberg.- The bombieri ¿ Vinogradov theorem.- A lemma in additive prime number theory.- The mean value theorem of Barban.

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Produktdetails

• Lecture Notes in Mathematics 227
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-05641-6
• 1971
• Seitenzahl: 192
• Erscheinungstermin: 1. Januar 1971
• Englisch
• Abmessung: 235mm x 155mm x 11mm
• Gewicht: 321g
• ISBN-13: 9783540056416
• ISBN-10: 3540056416
• Artikelnr.: 23380346

Inhaltsangabe

Three basic principles.- The large sieve.- Arithmetic formulations of the large sieve.- A weighted sieve and its application.- A lower bound of Roth.- Classical mean value theorems.- New mean value theorems.- Large moduli theorems.- Further results and conjectures concerning mean and large moduli.- Mean moduli of L-functions.- Zero-free regions and the proliferation of zeros.- Distribution of zeros of L-functions.- Least character non-residues and arg L(12+it, x).- The prime number theorems of Hoheisel and Selberg.- The bombieri - Vinogradov theorem.- A lemma in additive prime number theory.- The mean value theorem of Barban.