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Cem Yalçın Yıldırım
Bogaziçi University
Faculty of Arts and Sciences
Department of Mathematics
Bebek 34342
Istanbul-TURKEY

Phone: (0) 212 359 66 02
Fax:    (0) 212 287 71 73



PREPRINTS:

Goldston, Daniel A.; Pintz, János; Yıldırım, C. Y. Primes in tuples. II. arXiv:0710.2728

Goldston, D. A.; Graham S.W.; Pintz, J.; Yıldırım, C. Y. Small gaps between products of two primes arXiv:math/0609615

Goldston, D. A.; Graham S.W.; Pintz, J.; Yıldırım, C. Y. Small gaps between primes or almost primes arXiv:math.NT/0506067

Goldston, D. A.; Pintz, J.; Yıldırım, C. Y. Primes in tuples I arXiv:math/0508185




PUBLICATIONS:

Goldston, D. A.; Pintz, J.;Yıldırım, C. Y. The path to recent progress on small gaps between primes Clay Mathematics Proceedings Volume 7, 2007 pdf

Goldston, D. A.; Yıldırım, C. Y. Higher correlations of divisor sums related to primes III: Small gaps between primes. Proc. London Math. Soc. (3) 95 (2007) 653--686 pdf

Garaev,M.Z.; Yıldırım, C. Y. On small distances between ordinates of zeros of \zeta(s) and \zeta'(s). Int. Math. Res. Notices (2007) pdf

Goldston, D. A.; Yıldırım, C. Y. Higher correlations of divisor sums related to primes. II. Variations of the error term in the prime number theorem. Proc. Lond. Math. Soc. (3) 95 (2007), no. 1, 199--247. pdf

Goldston, Daniel A.; Pintz, János; Yıldırım, C. Y. Primes in tuples. III. On the difference $p\sb {n+\nu}-p\sb n$. Funct. Approx. Comment. Math. 35 (2006), 79--89. pdf

Goldston, Daniel Alan; Motohashi, Yoichi; Pintz, János; Yıldırım, C. Y. Small gaps between primes exist. Proc. Japan Acad. Ser. A Math. Sci. 82 (2006), no. 4, 61--65. pdf

Goldston, D. A.; Yıldırım, C. Y. Higher correlations of divisor sums related to primes. I. Triple correlations. Integers 3 (2003), A5, 66 pp. (electronic). pdf

Goldston, D. A.; Yıldırım, C. Y. On the second moment for primes in an arithmetic progression. Acta Arith. 100 (2001), no. 1, 85--104. pdf

Yıldırım, C. Y. Zeros of $\zeta"(s)$ & $\zeta"'(s)$ in $\sigma<\frac 12$. Turkish J. Math. 24 (2000), no. 1, 89--108. pdf

Yıldırım, C. Y. A survey of results on primes in short intervals. Number theory and its applications (Ankara, 1996), 307--343, Lecture Notes in Pure and Appl. Math., 204, Dekker, New York, 1999.

Goldston, D. A.; Yıldırım, C. Y. Primes in short segments of arithmetic progressions. Canad. J. Math. 50 (1998), no. 3, 563--580. pdf

Yıldırım, C. Y. Zeros of derivatives of Dirichlet $L$-functions. Turkish J. Math. 20 (1996), no. 4, 521--534. pdf

Yıldırım, C. Y. A note on $\zeta"(s)$ and $\zeta"'(s)$. Proc. Amer. Math. Soc. 124 (1996), no. 8, 2311--2314. (See my paper published in 2000 which is an expanded version of this paper)

Yıldırım, C. Y. On the tails of the exponential series. Canad. Math. Bull. 37 (1994), no. 2, 278--286. pdf

Yıldırım, C. Y. On the zeros of the sections of the exponential function. Do\u ga Mat. 16 (1992), no. 3, 177--182. pdf

Yıldırım, C. Y. A sum over the zeros of partial sums of $e\sp x$. J. Ramanujan Math. Soc. 6 (1991), no. 1-2, 51--66. pdf

Yıldırım, C. Y. The pair correlation of zeros of Dirichlet $L$-functions and primes in arithmetic progressions. Manuscripta Math. 72 (1991), no. 3, 325--334. pdf

Yıldırım, C. Y. The mean value of $\vert \zeta(\frac12+it)\vert \sp 2$ at the zeros of $Z\sp {(k)}(t)$. C. R. Math. Rep. Acad. Sci. Canada 12 (1990), no. 4, 135--140. pdf