Download Analytic Number Theory: Proceedings of a Conference In Honor by Krishnaswami Alladi (auth.), Bruce C. Berndt, Harold G. PDF

By Krishnaswami Alladi (auth.), Bruce C. Berndt, Harold G. Diamond, Adolf J. Hildebrand (eds.)

ISBN-10: 1461240867

ISBN-13: 9781461240860

ISBN-10: 146128645X

ISBN-13: 9781461286455

On might sixteen -20, 1995, nearly one hundred fifty mathematicians accumulated on the convention heart of the collage of Illinois at Allerton Park for an Inter­ nationwide convention on Analytic quantity thought. The assembly marked the impending professional retirement of Heini Halberstam from the math fac­ ulty of the college of Illinois at Urbana-Champaign. Professor Halberstam has been on the collage on account that 1980, for eight years as head of the dept of arithmetic, and has been a number one researcher and instructor in quantity conception for over 40 years. this system incorporated invited one hour lectures by means of G. Andrews, J. Bour­ achieve, J. M. Deshouillers, H. Halberstam, D. R. Heath-Brown, H. Iwaniec, H. L. Montgomery, R. Murty, C. Pomerance, and R. C. Vaughan, and nearly 100 different talks of various lengths. those volumes include contributions from lots of the valuable audio system and from a few of the different contributors, in addition to a few papers from mathematicians who have been not able to wait. The contents span a huge diversity of subject matters from modern quantity conception, with the bulk having an analytic flavor.

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Extra info for Analytic Number Theory: Proceedings of a Conference In Honor of Heini Halberstam Volume 1

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Spencer, and P. , New York, 1992. [2] J. H. Conway and R. K. Guy, Solution of a problem of P. Erdos, Colloquium Mathematicum 20 (1969), 307. [3] N. D. Elkies, An improved lower bound on the greatest element of a sumdistinct set of fixed order, Journal of Combinatorial Theory, Series A 41 (1986), 89-94. [4] P. Erdos, Problems and results in additive number theory, Colloque sur la Theorie des Nombres (1955), Bruxelles, 127-137. [5] P. Erdos, Some of my favorite unsolved problems, A tribute to Paul Erdos (A.

Q-trinomial coefficients, J. of Stat. Physics 47 (1987), 297-330. N. J. Fine, Basic Hypergeometric Series and Applications, Math Surveys and Monographs, No. 27, Amer. Math. , Providence 1988. George E. edu On subset-sum-distinct sequences Jaegug Bae Dedicated to Professor Halberstam on the occasion of his retirement Abstract. We use TomiC's inequality to show some interesting properties of subset-sum-distinct sequences including an elementary proof of a theorem of Steele, Hanson, and Stenger. Also, we comment on a theorem of L.

5). 4985x as required. This completes the deduction of Theorem 2. The following list of definitions should help the reader to navigate the remainder of the paper. Aq ... p. 44 cd,r(Aq,d),S(Cd,Z) ... p. 44-45 P(z), V(z) ... p. 45 A~ ... p. 45 Type Ij,IIj,I/II sums ... p. • p. (K, L, Q) ... p. 47 Conditions (Ad, (A 2 ), (A 3 ), (A4) ... pp. 48 R. C. BAKER AND G. HARMAN 44 Bq ... p. 51 T ... p. 51 Aj((3o, (31) ... p. 51 aj; aj E £ ... p. 51 1t partitions into V . p. 51 1t partitions exactly into V.

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Analytic Number Theory: Proceedings of a Conference In Honor of Heini Halberstam Volume 1 by Krishnaswami Alladi (auth.), Bruce C. Berndt, Harold G. Diamond, Adolf J. Hildebrand (eds.)


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