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Author ID: alkan.emre Recent zbMATH articles by "Alkan, Emre"
Published as: Alkan, Emre; Alkan, E.
Documents Indexed: 63 Publications since 1994
Reviewing Activity: 54 Reviews
Co-Authors: 15 Co-Authors with 35 Joint Publications
204 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

52 Publications have been cited 301 times in 121 Documents Cited by Year
Values of Dirichlet \(L\)-functions, Gauss sums and trigonometric sums. Zbl 1287.11101
Alkan, Emre
24
2011
On the mean square average of special values of \(L\)-functions. Zbl 1237.11037
Alkan, Emre
19
2011
Approximation by special values of harmonic zeta function and log-sine integrals. Zbl 1312.11070
Alkan, Emre
16
2013
Nonvanishing of Fourier coefficients of modular forms. Zbl 1075.11034
Alkan, Emre
14
2003
On the sizes of gaps in the Fourier expansion of modular forms. Zbl 1082.11022
Alkan, Emre
13
2005
On Dirichlet \(L\)-functions with periodic coefficients and Eisenstein series. Zbl 1278.11081
Alkan, Emre
12
2011
Variations on Wolstenholme’s theorem. Zbl 0836.11002
Alkan, Emre
12
1994
Averages of values of \(L\)-series. Zbl 1331.11066
Alkan, Emre
12
2013
Lehmer \(k\)-tuples. Zbl 1173.11045
Alkan, Emre; Stan, Florin; Zaharescu, Alexandru
10
2006
Nonvanishing of Fourier coefficients of newforms in progressions. Zbl 1142.11029
Alkan, Emre; Zaharescu, Alexandru
9
2005
Ramanujan sums and the Burgess zeta function. Zbl 1323.11062
Alkan, Emre
9
2012
Arithmetical functions in several variables. Zbl 1088.11005
Alkan, Emre; Zaharescu, Alexandru; Zaki, Mohammad
8
2005
Special values of the Riemann zeta function capture all real numbers. Zbl 1327.11058
Alkan, Emre
8
2015
Distribution of averages of Ramanujan sums. Zbl 1297.11092
Alkan, Emre
8
2012
On the gaps in the Fourier expansion of cusp forms. Zbl 1213.11100
Alkan, Emre; Zaharescu, Alexandru
7
2008
\(B\)-free numbers in short arithmetic progressions. Zbl 1138.11339
Alkan, Emre; Zaharescu, Alexandru
7
2005
Nonvanishing of the Ramanujan tau function in short intervals. Zbl 1075.11035
Alkan, Emre; Zaharescu, Alexandru
7
2005
On linear combinations of special values of \(L\)-functions. Zbl 1281.11082
Alkan, Emre
7
2012
Series representations in the spirit of Ramanujan. Zbl 1309.33023
Alkan, Emre
6
2014
Resolution of a conjecture on the convexity of zeta functions. Zbl 1471.11230
Alkan, Emre
6
2019
A bias phenomenon on the behavior of Dedekind sums. Zbl 1275.11071
Alkan, Emre; Xiong, Maosheng; Zaharescu, Alexandru
6
2008
Asymptotic behavior of the irrational factor. Zbl 1197.11123
Alkan, E.; Ledoan, A. H.; Zaharescu, A.
5
2008
Diophantine approximation with mild divisibility constraints. Zbl 1093.11053
Alkan, Emre; Harman, Glyn; Zaharescu, Alexandru
5
2006
Diophantine approximation with arithmetic functions. I. Zbl 1225.11098
Alkan, Emre; Ford, Kevin; Zaharescu, Alexandru
5
2009
Average size of gaps in the Fourier expansion of modular forms. Zbl 1143.11018
Alkan, Emre
4
2007
Biased behavior of weighted Mertens sums. Zbl 1437.11128
Alkan, Emre
4
2020
On sums over the Möbius function and discrepancy of fractions. Zbl 1295.11108
Alkan, Emre; Göral, Haydar
4
2013
Multidimensional averages and Dirichlet convolution. Zbl 1125.11054
Alkan, Emre; Zaharescu, Alexandru; Zaki, Mohammad
4
2007
Consecutive large gaps in sequences defined by multiplicative constraints. Zbl 1165.11073
Alkan, Emre; Zaharescu, Alexandru
3
2008
Quotients of values of the Dedekind eta function. Zbl 1144.11034
Alkan, Emre; Xiong, Maosheng; Zaharescu, Alexandru
3
2008
Diophantine approximation with arithmetic functions. II. Zbl 1225.11099
Alkan, Emre; Ford, Kevin; Zaharescu, Alexandru
3
2009
Ramanujan sums are nearly orthogonal to powers. Zbl 1305.11068
Alkan, Emre
3
2014
Hyperharmonic numbers can rarely be integers. Zbl 1416.11049
Alkan, Emre; Göral, Haydar; Sertbaş, Doğa Can
3
2018
Unitary convolution for arithmetical functions in several variables. Zbl 1101.13035
Alkan, Emre; Zaharescu, Alexandru; Zaki, Mohammad
3
2006
Discrepancy of fractions with divisibility constraints. Zbl 1106.11029
Alkan, Emre; Ledoan, Andrew H.; Vâjâitu, Marian; Zaharescu, Alexandru
3
2006
Trigonometric series and special values of \(L\)-functions. Zbl 1418.11117
Alkan, Emre; Göral, Haydar
3
2017
Inequalities between sums over prime numbers in progressions. Zbl 1472.11324
Alkan, Emre
3
2020
Structural properties of Dirichlet series with harmonic coefficients. Zbl 1420.11112
Alkan, Emre; Göral, Haydar
2
2018
Number of prime ideals in short intervals. Zbl 1411.11119
Alkan, Emre; Mehreliyev, Tevekkül
2
2016
Pair correlation of sums of rationals with bounded height. Zbl 1218.11069
Alkan, Emre; Xiong, Maosheng; Zaharescu, Alexandru
2
2010
Square-free criteria for polynomials using no derivatives. Zbl 1172.12004
Alkan, E.; Bonciocat, A. I.; Bonciocat, N. C.; Zaharescu, A.
2
2007
Pair correlation of torsion points on elliptic curves. Zbl 1213.11114
Alkan, Emre; Xiong, Maosheng; Zaharescu, Alexandru
2
2009
Local spacings along curves. Zbl 1111.11007
Alkan, Emre; Xiong, Maosheng; Zaharescu, Alexandru
2
2007
Discrepancy of sets of fractions with congruence constraints. Zbl 1119.11043
Alkan, E.; Ledoan, A. H.; Vâjâitu, M.; Zaharescu, A.
2
2006
Arithmetic mean of differences of Dedekind sums. Zbl 1203.11037
Alkan, Emre; Xiong, Maosheng; Zaharescu, Alexandru
2
2007
On the index of fractions with square-free denominators in arithmetic progressions. Zbl 1182.11012
Alkan, Emre; Ledoan, Andrew H.; Vâjâitu, Marian; Zaharescu, Alexandru
1
2008
Series representing transcendental numbers that are not U-numbers. Zbl 1328.11079
Alkan, Emre
1
2015
On the distributions of \(\sigma(n)/n\) and \(n/\varphi(n)\). Zbl 1368.11105
Alkan, Emre
1
2013
A survey on the distribution of \(B\)-free numbers. Zbl 1109.11044
Alkan, Emre; Zaharescu, Alexandru
1
2006
Statistics and characterization of matrices by determinant and trace. Zbl 1482.15030
Alkan, Emre; Yörük, Ekin Sıla
1
2019
Wolstenholme matrices. Zbl 1119.11006
Alkan, E.; Sneed, J.; Vâjâitu, M.; Zaharescu, A.
1
2006
On Dirichlet \(L\)-functions and the index of visible points. Zbl 1234.11127
Alkan, Emre; Ledoan, Andrew H.; Zaharescu, Alexandru
1
2007
Biased behavior of weighted Mertens sums. Zbl 1437.11128
Alkan, Emre
4
2020
Inequalities between sums over prime numbers in progressions. Zbl 1472.11324
Alkan, Emre
3
2020
Resolution of a conjecture on the convexity of zeta functions. Zbl 1471.11230
Alkan, Emre
6
2019
Statistics and characterization of matrices by determinant and trace. Zbl 1482.15030
Alkan, Emre; Yörük, Ekin Sıla
1
2019
Hyperharmonic numbers can rarely be integers. Zbl 1416.11049
Alkan, Emre; Göral, Haydar; Sertbaş, Doğa Can
3
2018
Structural properties of Dirichlet series with harmonic coefficients. Zbl 1420.11112
Alkan, Emre; Göral, Haydar
2
2018
Trigonometric series and special values of \(L\)-functions. Zbl 1418.11117
Alkan, Emre; Göral, Haydar
3
2017
Number of prime ideals in short intervals. Zbl 1411.11119
Alkan, Emre; Mehreliyev, Tevekkül
2
2016
Special values of the Riemann zeta function capture all real numbers. Zbl 1327.11058
Alkan, Emre
8
2015
Series representing transcendental numbers that are not U-numbers. Zbl 1328.11079
Alkan, Emre
1
2015
Series representations in the spirit of Ramanujan. Zbl 1309.33023
Alkan, Emre
6
2014
Ramanujan sums are nearly orthogonal to powers. Zbl 1305.11068
Alkan, Emre
3
2014
Approximation by special values of harmonic zeta function and log-sine integrals. Zbl 1312.11070
Alkan, Emre
16
2013
Averages of values of \(L\)-series. Zbl 1331.11066
Alkan, Emre
12
2013
On sums over the Möbius function and discrepancy of fractions. Zbl 1295.11108
Alkan, Emre; Göral, Haydar
4
2013
On the distributions of \(\sigma(n)/n\) and \(n/\varphi(n)\). Zbl 1368.11105
Alkan, Emre
1
2013
Ramanujan sums and the Burgess zeta function. Zbl 1323.11062
Alkan, Emre
9
2012
Distribution of averages of Ramanujan sums. Zbl 1297.11092
Alkan, Emre
8
2012
On linear combinations of special values of \(L\)-functions. Zbl 1281.11082
Alkan, Emre
7
2012
Values of Dirichlet \(L\)-functions, Gauss sums and trigonometric sums. Zbl 1287.11101
Alkan, Emre
24
2011
On the mean square average of special values of \(L\)-functions. Zbl 1237.11037
Alkan, Emre
19
2011
On Dirichlet \(L\)-functions with periodic coefficients and Eisenstein series. Zbl 1278.11081
Alkan, Emre
12
2011
Pair correlation of sums of rationals with bounded height. Zbl 1218.11069
Alkan, Emre; Xiong, Maosheng; Zaharescu, Alexandru
2
2010
Diophantine approximation with arithmetic functions. I. Zbl 1225.11098
Alkan, Emre; Ford, Kevin; Zaharescu, Alexandru
5
2009
Diophantine approximation with arithmetic functions. II. Zbl 1225.11099
Alkan, Emre; Ford, Kevin; Zaharescu, Alexandru
3
2009
Pair correlation of torsion points on elliptic curves. Zbl 1213.11114
Alkan, Emre; Xiong, Maosheng; Zaharescu, Alexandru
2
2009
On the gaps in the Fourier expansion of cusp forms. Zbl 1213.11100
Alkan, Emre; Zaharescu, Alexandru
7
2008
A bias phenomenon on the behavior of Dedekind sums. Zbl 1275.11071
Alkan, Emre; Xiong, Maosheng; Zaharescu, Alexandru
6
2008
Asymptotic behavior of the irrational factor. Zbl 1197.11123
Alkan, E.; Ledoan, A. H.; Zaharescu, A.
5
2008
Consecutive large gaps in sequences defined by multiplicative constraints. Zbl 1165.11073
Alkan, Emre; Zaharescu, Alexandru
3
2008
Quotients of values of the Dedekind eta function. Zbl 1144.11034
Alkan, Emre; Xiong, Maosheng; Zaharescu, Alexandru
3
2008
On the index of fractions with square-free denominators in arithmetic progressions. Zbl 1182.11012
Alkan, Emre; Ledoan, Andrew H.; Vâjâitu, Marian; Zaharescu, Alexandru
1
2008
Average size of gaps in the Fourier expansion of modular forms. Zbl 1143.11018
Alkan, Emre
4
2007
Multidimensional averages and Dirichlet convolution. Zbl 1125.11054
Alkan, Emre; Zaharescu, Alexandru; Zaki, Mohammad
4
2007
Square-free criteria for polynomials using no derivatives. Zbl 1172.12004
Alkan, E.; Bonciocat, A. I.; Bonciocat, N. C.; Zaharescu, A.
2
2007
Local spacings along curves. Zbl 1111.11007
Alkan, Emre; Xiong, Maosheng; Zaharescu, Alexandru
2
2007
Arithmetic mean of differences of Dedekind sums. Zbl 1203.11037
Alkan, Emre; Xiong, Maosheng; Zaharescu, Alexandru
2
2007
On Dirichlet \(L\)-functions and the index of visible points. Zbl 1234.11127
Alkan, Emre; Ledoan, Andrew H.; Zaharescu, Alexandru
1
2007
Lehmer \(k\)-tuples. Zbl 1173.11045
Alkan, Emre; Stan, Florin; Zaharescu, Alexandru
10
2006
Diophantine approximation with mild divisibility constraints. Zbl 1093.11053
Alkan, Emre; Harman, Glyn; Zaharescu, Alexandru
5
2006
Unitary convolution for arithmetical functions in several variables. Zbl 1101.13035
Alkan, Emre; Zaharescu, Alexandru; Zaki, Mohammad
3
2006
Discrepancy of fractions with divisibility constraints. Zbl 1106.11029
Alkan, Emre; Ledoan, Andrew H.; Vâjâitu, Marian; Zaharescu, Alexandru
3
2006
Discrepancy of sets of fractions with congruence constraints. Zbl 1119.11043
Alkan, E.; Ledoan, A. H.; Vâjâitu, M.; Zaharescu, A.
2
2006
A survey on the distribution of \(B\)-free numbers. Zbl 1109.11044
Alkan, Emre; Zaharescu, Alexandru
1
2006
Wolstenholme matrices. Zbl 1119.11006
Alkan, E.; Sneed, J.; Vâjâitu, M.; Zaharescu, A.
1
2006
On the sizes of gaps in the Fourier expansion of modular forms. Zbl 1082.11022
Alkan, Emre
13
2005
Nonvanishing of Fourier coefficients of newforms in progressions. Zbl 1142.11029
Alkan, Emre; Zaharescu, Alexandru
9
2005
Arithmetical functions in several variables. Zbl 1088.11005
Alkan, Emre; Zaharescu, Alexandru; Zaki, Mohammad
8
2005
\(B\)-free numbers in short arithmetic progressions. Zbl 1138.11339
Alkan, Emre; Zaharescu, Alexandru
7
2005
Nonvanishing of the Ramanujan tau function in short intervals. Zbl 1075.11035
Alkan, Emre; Zaharescu, Alexandru
7
2005
Nonvanishing of Fourier coefficients of modular forms. Zbl 1075.11034
Alkan, Emre
14
2003
Variations on Wolstenholme’s theorem. Zbl 0836.11002
Alkan, Emre
12
1994
all top 5

Cited by 111 Authors

32 Alkan, Emre
18 Zaharescu, Alexandru
12 Göral, Haydar
7 Sertbaş, Doğa Can
5 Can, Mumun
4 Zaki, Mohammad
3 Hamahata, Yoshinori
3 Sofo, Anthony
3 Xiong, Maosheng
2 Bonciocat, Anca Iuliana
2 Bonciocat, Nicolae Ciprian
2 Çelik, Şermin Çam
2 Cochrane, Todd
2 Dağli, Muhammet Cihat
2 Das, Soumya
2 El-Abidine Guennoun, Zine
2 Elaissaoui, Lahoucine
2 Ganguly, Satadal
2 Han, Di
2 Harman, Glyn
2 Kiuchi, Isao
2 Kumar, Narasimha
2 Liu, Huaning
2 Ma, Rong
2 Mak, Kit-Ho
2 Meštrović, Romeo
2 Mossinghoff, Michael J.
2 Pinner, Chris
2 Richardson, Christophcr J.
2 Shparlinski, Igor E.
2 Wu, Jie
2 Zhang, Yulong
1 Alsulmi, Badria
1 Alzer, Horst
1 Batir, Necdet
1 Bengoechea, Paloma
1 Bordellès, Olivier
1 Boztaş, Merve Çelebi
1 Cenkci, Mehmet
1 Chan, Tsz Ho
1 Chatterjee, Tapas
1 Chaubey, Sneha
1 Coppo, Marc-Antoine
1 Cvijović, Djurdje
1 de Camargo, André Pierro
1 Dil, Ayhan
1 Dong, Dong
1 Dymek, Aurelia
1 Ferretti, Federica
1 Ford, Kevin B.
1 Gambini, Alessandro
1 Grützmann, Melchior
1 Gun, Sanoli
1 Guo, Bai-Ni
1 Haukkanen, Pentti
1 Haynes, Alan K.
1 He, Yuan
1 Jancevskis, Martin
1 Jiang, Peilin
1 Kasjan, Stanisław
1 Kaushik, Surjeet
1 Khurana, Suraj Singh
1 Kowalski, Emmanuel
1 Kułaga-Przymus, Joanna
1 Kumar, Balesh
1 Lanius, Melinda
1 Lau, Yuk-Kam
1 Ledoan, Andrew H.
1 Lee, Seok Hyeong
1 Lee, Seungjai
1 Lemańczyk, Mariusz
1 Li, Junxian
1 Lim, Dongkyu
1 Lin, Xin
1 Martin, Paulo Agozzini
1 Matomäki, Kaisa Sofia
1 Mehreliyev, Tevekkül
1 Meng, Xianchang
1 Mező, István
1 Minamide, Makoto
1 Namboothiri, K. Vishnu
1 Niu, Yana
1 Okamoto, Takuya
1 Onozuka, Tomokazu
1 Paul, Biplab
1 Pigno, Vincent
1 Qi, Feng
1 Richards, Kendall C.
1 Ritelli, Daniele
1 Robert, Olivier
1 Robles, Nicolas
1 Roy, Arindam
1 Shao, Wenkai
1 Singh, Jitender
1 Steinberger, Thomas
1 Sun, Zhi-Wei
1 Tamazyan, Albert
1 Tóth, László
1 Tran, Khang D.
1 Ueda, Masaaki
...and 11 more Authors
all top 5

Cited in 44 Serials

18 Journal of Number Theory
15 International Journal of Number Theory
13 The Ramanujan Journal
8 Proceedings of the American Mathematical Society
7 Journal of Mathematical Analysis and Applications
3 Rocky Mountain Journal of Mathematics
3 Monatshefte für Mathematik
3 Acta Mathematica Hungarica
3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
3 Turkish Journal of Mathematics
3 Acta Mathematica Sinica. English Series
3 Hacettepe Journal of Mathematics and Statistics
2 Acta Arithmetica
2 Manuscripta Mathematica
2 Mathematische Zeitschrift
2 Transactions of the American Mathematical Society
2 Integral Transforms and Special Functions
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Research in Number Theory
1 Communications in Algebra
1 Lithuanian Mathematical Journal
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Archiv der Mathematik
1 Glasgow Mathematical Journal
1 Mathematische Annalen
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Bulletin of the Korean Mathematical Society
1 Revista Matemática Iberoamericana
1 SIAM Journal on Discrete Mathematics
1 Journal of the Ramanujan Mathematical Society
1 Glasnik Matematički. Serija III
1 Experimental Mathematics
1 Finite Fields and their Applications
1 Taiwanese Journal of Mathematics
1 Integers
1 Mathematical Modelling and Analysis
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Japanese Journal of Mathematics. 3rd Series
1 Annales Mathématiques du Québec
1 Journal of Mathematics
1 ISRN Combinatorics
1 Journal of Numbers
1 AIMS Mathematics

Citations by Year