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Cem
Yalçın
Yıldırım
B.Sc.,
ODTÜ, Ankara, 1982 Ph.D., University of Toronto, 1990
Bogaziçi University Faculty of Arts and
Sciences Department of Mathematics Bebek
34342 Istanbul-TURKEY
E-Mail:
yalciny@boun.edu.tr Phone: (+90) 212 359 66 02 Fax:
(+90) 212 287 71 73
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PUBLICATIONS:
Daniel A. Golston, Sidney W. Graham, Apoorva Panidapu, Janos Pintz, Jordan Schettler, Cem Y. Yıldırım: “Small gaps between almost primes, the parity problem, and some conjectures of Erdös on consecutive integers II” Journal of Number Theory, 221, (2021), 222-231. pdf
Boysal A., Ecevit F., Yıldırım C.Y.: “A lattice sum
involving the cosine function” J. Math. Anal. Appl., 463, (2018),
no. 1, 134-160. pdf
Benli K., Elma E., Yıldırım C.Y. : “Mean values of the
functional equation factors at the zeros of derivatives of the Riemann
zeta-function and Dirichlet L-functions”, pp. 59-67, Anaytic
Number Theory, Modular Forms and q-Hypergeometric series, (editors:
Andrews, Garvan), Springer 2018. pdf
Karabulut Y., Yıldırım C.Y. : “Some analogues of pair
correlation of zeta zeros”, pp. 113 -179, Exploring the Riemann Zeta Function, (editors:
Montgomery, Nikeghbali, Rassias), Springer 2017. (appeared in this
book with minor differences including formula numbering) pdf
Goldston D.A., Pintz J., Yıldırım C.Y. : “Small gaps between primes” Proc. ICM 2014, Seoul, pp. 419-441, the Invited Lectures volume (2014). pdf
Goldston
D. A., Pintz J., Yıldırım C. Y.: "Primes in tuples IV:
Density of small gaps between consecutive primes" Acta
Arithmetica, 160(2013), no. 1, 37-53. pdf
Kaptan
D.A., Karabulut Y., Yıldırım C.Y.: “Some mean value theorems
for the Riemann Zeta-Function and Dirichlet L-functions”
Comment. Math. Univ. St. Pauli, 60 (2011), no. 1-2, 83-87.
pdf
Karabulut
Y., Yıldırım C.Y.: “On some averages at the zeros of the
derivatives of the Riemann zeta-function” Journal of
Number Theory, 131 (2011), no. 11, 1939-1961. pdf
Goldston
D.A., Pintz J., Yıldırım C. Y.: “Positive proportion
of small gaps between consecutive primes” Publ. Math.
Debrecen, 79 (2011), no. 3-4, 433-444. pdf
Goldston D. A., Graham S. W., Pintz J., Yıldırım C. Y.:
"Small gaps between almost primes, the parity problem and
some conjectures of Erdös on consecutive integers"
International Mathematics Research Notices, (2011), no. 7,
1439-1450. pdf
Yıldırım
C. Y.: "The distribution of primes: Conjectures vs. hitherto
provables" Further progress in analysis, World Sci.
Publ., Hackensack, NJ (2009) 75-108. pdf
Goldston D. A., Graham S.W., Pintz J., Yıldırım C. Y.:
"Small gaps between products of two primes" Proc.
Lond. Math. Soc. (3), 98 (2009), no. 3, 741-774. pdf
Goldston D. A., Graham S.W., Pintz J., Yıldırım C. Y.:
"Small gaps between primes or almost primes" Trans.
Amer. Math. Soc., 361 (2009), no. 10, 5285-5330. pdf
Goldston D. A., Pintz J.,Yıldırım C. Y.: "The
path to recent progress on small gaps between primes"
Analytic number theory, Clay Mathematics Proceedings,
Providence, RI, Amer. Math. Soc., 7 (2007), 129-139. pdf
Goldston D. A., Pintz J., Yıldırım C. Y.: "Primes
in tuples. III. On the difference
."
Funct. Approx. Comment. Math., 35 (2006), 79-89. pdf
Goldston D. A., Pintz J., Yıldırım C. Y.: "Primes
in tuples. II.", Acta Math., 204 (2010), no. 1,
1-47 pdf
Goldston D.
A., Pintz J., Yıldırım C. Y.: "Primes in tuples I", Ann.
of Math., 170 (2009), no. 2, 819-862. pdf
Goldston D. A., Motohashi Y., Pintz J., Yıldırım C.
Y.: "Small gaps between primes exist." Proc. Japan
Acad. Ser. A Math. Sci., 82 (2006), no. 4, 61-65. pdf
Garaev M.Z., Yıldırım C. Y.: "On small distances
between ordinates of zeros of
and
."
Int. Math. Res. Notices (2007), ArticleID: rnm091, 14 pp.
pdf
Goldston
D. A., Yıldırım C. Y.: "Higher correlations of divisor sums
related to primes III: Small gaps between primes." Proc.
London Math. Soc., 95 (2007), no. 3, 653-686. 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., 95 (2007), no. 3, 199-247. 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
&
in
."
Turkish J. Math., 24 (2000), no. 1, 89-108. pdf
Yıldırım C. Y.: "A survey of results on primes in
short intervals" in Number theory and its applications
(Ankara, 1996), edited by: Yıldırım C. Y., Stepanov S. A.,
307-343, Lecture Notes in Pure and Appl. Math., 204, Dekker, New
York, 1999. pdf
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
-functions."
Turkish J. Math., 20 (1996), no. 4, 521-534. pdf
Yıldırım C. Y.: "A note on
and
."
Proc. Amer. Math. Soc., 124 (1996), no. 8, 2311-2314. pdf
(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." Doğa Mat., 16 (1992), no.
3, 177-182. pdf
Yıldırım C. Y.: "The pair correlation of zeros of
Dirichlet
-functions
and primes in arithmetic progressions." Manuscripta
Math., 72 (1991), no. 3, 325-334. pdf
Yıldırım C. Y.: "The mean value of
at
the zeros of
."
C. R. Math. Rep. Acad. Sci. Canada, 12 (1990), no. 4,
135-140. pdf
Yıldırım
C. Y.: "A sum over the zeros of partial sums of
."
J. Ramanujan Math. Soc., 6 (1991), no.1-2, 51-66. pdf
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