DMS

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121

3. INFINITELY MANY PRIMES; COMPLEX ANALYSIS Dirichlet proved that there are infinitely many primes in every arithmetic progression a (mod q) with (a, q) = 1. Our next objective is to prove Dirichlet’s theorem, develop

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Source URL: www.dms.umontreal.ca

Language: English - Date: 2007-02-21 21:15:22
    122

    4. BINARY QUADRATIC FORMSWhat integers are represented by a given binary quadratic form?. An integer n is represented by the binary quadratic form ax2 + bxy + cy 2 if there exist integers r and s such that n = ar2

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    Source URL: www.dms.umontreal.ca

    Language: English - Date: 2007-02-21 21:15:28
      123

      18. SHORT GAPS BETWEEN PRIMES. In this section we shall prove that the gap between two consecutive primes of size x can be much smaller than the average, log x: Our goal is to show that if p1 = 2 < p2 = 3 < . . . is the

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      Source URL: www.dms.umontreal.ca

      Language: English - Date: 2007-04-04 12:28:55
        124

        Multiplicative number theory Andrew Granville Universit´e de Montr´eal K. Soundararajan Stanford University

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        Source URL: www.dms.umontreal.ca

        Language: English - Date: 2011-04-06 11:24:18
          125

          LEAVING CURRENT DISSERTATION ADVISOR LAB

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          Source URL: dms.hms.harvard.edu

          Language: English - Date: 2009-12-16 16:54:02
            126

            DMS - Training Booking Form July - December 2015 Please complete and fax to DMS onor email to Company Name:

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            Source URL: mapsolutions.com.au

            Language: English
              127

              ADDITIVE COMBINATORICS: WINTERK. Soundararajan Typeset by AMS-TEX

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              Source URL: www.dms.umontreal.ca

              Language: English - Date: 2010-01-07 12:21:12
                128

                ADDITIVE COMBINATORICS (WINTERAndrew Granville Introduction For A, B subsets of an additive group Z, we define A + B to be the sumset {a +

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                Source URL: www.dms.umontreal.ca

                Language: English - Date: 2010-04-12 11:28:12
                  129

                  16. LONG GAPS BETWEEN PRIMES. There are ∼ x/ log x primes up to x, so the average gap between two consecutive primes of size x is around log x. Of course we believe that gaps can be much smaller and much larger (as sm

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                  Source URL: www.dms.umontreal.ca

                  Language: English - Date: 2007-04-04 12:30:31
                    130

                    11. THE PRIME NUMBER THEOREM FOR ARITHMETIC PROGRESSIONSRepresentations of L(s, χ). Let χ be a character mod q. We have X n≥1

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                    Source URL: www.dms.umontreal.ca

                    Language: English - Date: 2007-02-21 21:16:18
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