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Author ID: alkan.emre Recent zbMATH articles by "Alkan, Emre"
Published as: Alkan, Emre; Alkan, E.
Documents Indexed: 67 Publications since 1994
Reviewing Activity: 60 Reviews
Co-Authors: 15 Co-Authors with 35 Joint Publications
248 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

56 Publications have been cited 367 times in 149 Documents Cited by Year
Values of Dirichlet \(L\)-functions, Gauss sums and trigonometric sums. Zbl 1287.11101
Alkan, Emre
29
2011
On the mean square average of special values of \(L\)-functions. Zbl 1237.11037
Alkan, Emre
25
2011
Approximation by special values of harmonic zeta function and log-sine integrals. Zbl 1312.11070
Alkan, Emre
19
2013
Averages of values of \(L\)-series. Zbl 1331.11066
Alkan, Emre
17
2013
Nonvanishing of Fourier coefficients of modular forms. Zbl 1075.11034
Alkan, Emre
16
2003
On the sizes of gaps in the Fourier expansion of modular forms. Zbl 1082.11022
Alkan, Emre
14
2005
Variations on Wolstenholme’s theorem. Zbl 0836.11002
Alkan, Emre
13
1994
On Dirichlet \(L\)-functions with periodic coefficients and Eisenstein series. Zbl 1278.11081
Alkan, Emre
13
2011
Distribution of averages of Ramanujan sums. Zbl 1297.11092
Alkan, Emre
13
2012
Ramanujan sums and the Burgess zeta function. Zbl 1323.11062
Alkan, Emre
11
2012
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
10
2005
Discrepancy of fractions with divisibility constraints. Zbl 1106.11029
Alkan, Emre; Ledoan, Andrew H.; Vâjâitu, Marian; Zaharescu, Alexandru
8
2006
\(B\)-free numbers in short arithmetic progressions. Zbl 1138.11339
Alkan, Emre; Zaharescu, Alexandru
8
2005
Nonvanishing of the Ramanujan tau function in short intervals. Zbl 1075.11035
Alkan, Emre; Zaharescu, Alexandru
8
2005
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
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
7
2008
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
Biased behavior of weighted Mertens sums. Zbl 1437.11128
Alkan, Emre
6
2020
Ramanujan sums are nearly orthogonal to powers. Zbl 1305.11068
Alkan, Emre
6
2014
Resolution of a conjecture on the convexity of zeta functions. Zbl 1471.11230
Alkan, Emre
6
2019
Asymptotic behavior of the irrational factor. Zbl 1197.11123
Alkan, E.; Ledoan, A. H.; Zaharescu, A.
6
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
Hyperharmonic numbers can rarely be integers. Zbl 1416.11049
Alkan, Emre; Göral, Haydar; Sertbaş, Doğa Can
5
2018
Average size of gaps in the Fourier expansion of modular forms. Zbl 1143.11018
Alkan, Emre
4
2007
Diophantine approximation with arithmetic functions. II. Zbl 1225.11099
Alkan, Emre; Ford, Kevin; Zaharescu, Alexandru
4
2009
Multidimensional averages and Dirichlet convolution. Zbl 1125.11054
Alkan, Emre; Zaharescu, Alexandru; Zaki, Mohammad
4
2007
Discrepancy of sets of fractions with congruence constraints. Zbl 1119.11043
Alkan, E.; Ledoan, A. H.; Vâjâitu, M.; Zaharescu, A.
4
2006
On sums over the Möbius function and discrepancy of fractions. Zbl 1295.11108
Alkan, Emre; Göral, Haydar
4
2013
Pair correlation of sums of rationals with bounded height. Zbl 1218.11069
Alkan, Emre; Xiong, Maosheng; Zaharescu, Alexandru
4
2010
Inequalities between sums over prime numbers in progressions. Zbl 1472.11324
Alkan, Emre
4
2020
Unitary convolution for arithmetical functions in several variables. Zbl 1101.13035
Alkan, Emre; Zaharescu, Alexandru; Zaki, Mohammad
3
2006
Pair correlation of torsion points on elliptic curves. Zbl 1213.11114
Alkan, Emre; Xiong, Maosheng; Zaharescu, Alexandru
3
2009
On the index of fractions with square-free denominators in arithmetic progressions. Zbl 1182.11012
Alkan, Emre; Ledoan, Andrew H.; Vâjâitu, Marian; Zaharescu, Alexandru
3
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
Trigonometric series and special values of \(L\)-functions. Zbl 1418.11117
Alkan, Emre; Göral, Haydar
3
2017
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
A survey on the distribution of \(B\)-free numbers. Zbl 1109.11044
Alkan, Emre; Zaharescu, Alexandru
2
2006
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
2
2007
Statistics and characterization of matrices by determinant and trace. Zbl 1482.15030
Alkan, Emre; Yörük, Ekin Sıla
2
2019
Variations on criteria of Pólya and Turán for the Riemann hypothesis. Zbl 1500.11064
Alkan, Emre
2
2021
Applications of Bombieri-Vinogradov type theorems to power-free integers. Zbl 1472.11268
Alkan, Emre
2
2021
Number of prime ideals in short intervals. Zbl 1411.11119
Alkan, Emre; Mehreliyev, Tevekkül
2
2016
Structural properties of Dirichlet series with harmonic coefficients. Zbl 1420.11112
Alkan, Emre; Göral, Haydar
2
2018
Series representing transcendental numbers that are not U-numbers. Zbl 1328.11079
Alkan, Emre
1
2015
Wolstenholme matrices. Zbl 1119.11006
Alkan, E.; Sneed, J.; Vâjâitu, M.; Zaharescu, A.
1
2006
On the distributions of \(\sigma(n)/n\) and \(n/\varphi(n)\). Zbl 1368.11105
Alkan, Emre
1
2013
A generalization of the Hardy-Littlewood conjecture. Zbl 1502.11097
Alkan, Emre
1
2022
Discretization of prime counting functions, convexity and the Riemann hypothesis. Zbl 07655754
Alkan, Emre
1
2023
Discretization of prime counting functions, convexity and the Riemann hypothesis. Zbl 07655754
Alkan, Emre
1
2023
A generalization of the Hardy-Littlewood conjecture. Zbl 1502.11097
Alkan, Emre
1
2022
Variations on criteria of Pólya and Turán for the Riemann hypothesis. Zbl 1500.11064
Alkan, Emre
2
2021
Applications of Bombieri-Vinogradov type theorems to power-free integers. Zbl 1472.11268
Alkan, Emre
2
2021
Biased behavior of weighted Mertens sums. Zbl 1437.11128
Alkan, Emre
6
2020
Inequalities between sums over prime numbers in progressions. Zbl 1472.11324
Alkan, Emre
4
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
2
2019
Hyperharmonic numbers can rarely be integers. Zbl 1416.11049
Alkan, Emre; Göral, Haydar; Sertbaş, Doğa Can
5
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
6
2014
Approximation by special values of harmonic zeta function and log-sine integrals. Zbl 1312.11070
Alkan, Emre
19
2013
Averages of values of \(L\)-series. Zbl 1331.11066
Alkan, Emre
17
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
Distribution of averages of Ramanujan sums. Zbl 1297.11092
Alkan, Emre
13
2012
Ramanujan sums and the Burgess zeta function. Zbl 1323.11062
Alkan, Emre
11
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
29
2011
On the mean square average of special values of \(L\)-functions. Zbl 1237.11037
Alkan, Emre
25
2011
On Dirichlet \(L\)-functions with periodic coefficients and Eisenstein series. Zbl 1278.11081
Alkan, Emre
13
2011
Pair correlation of sums of rationals with bounded height. Zbl 1218.11069
Alkan, Emre; Xiong, Maosheng; Zaharescu, Alexandru
4
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
4
2009
Pair correlation of torsion points on elliptic curves. Zbl 1213.11114
Alkan, Emre; Xiong, Maosheng; Zaharescu, Alexandru
3
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
7
2008
Asymptotic behavior of the irrational factor. Zbl 1197.11123
Alkan, E.; Ledoan, A. H.; Zaharescu, A.
6
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
3
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
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
2
2007
Lehmer \(k\)-tuples. Zbl 1173.11045
Alkan, Emre; Stan, Florin; Zaharescu, Alexandru
10
2006
Discrepancy of fractions with divisibility constraints. Zbl 1106.11029
Alkan, Emre; Ledoan, Andrew H.; Vâjâitu, Marian; Zaharescu, Alexandru
8
2006
Diophantine approximation with mild divisibility constraints. Zbl 1093.11053
Alkan, Emre; Harman, Glyn; Zaharescu, Alexandru
5
2006
Discrepancy of sets of fractions with congruence constraints. Zbl 1119.11043
Alkan, E.; Ledoan, A. H.; Vâjâitu, M.; Zaharescu, A.
4
2006
Unitary convolution for arithmetical functions in several variables. Zbl 1101.13035
Alkan, Emre; Zaharescu, Alexandru; Zaki, Mohammad
3
2006
A survey on the distribution of \(B\)-free numbers. Zbl 1109.11044
Alkan, Emre; Zaharescu, Alexandru
2
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
14
2005
Nonvanishing of Fourier coefficients of newforms in progressions. Zbl 1142.11029
Alkan, Emre; Zaharescu, Alexandru
10
2005
\(B\)-free numbers in short arithmetic progressions. Zbl 1138.11339
Alkan, Emre; Zaharescu, Alexandru
8
2005
Nonvanishing of the Ramanujan tau function in short intervals. Zbl 1075.11035
Alkan, Emre; Zaharescu, Alexandru
8
2005
Arithmetical functions in several variables. Zbl 1088.11005
Alkan, Emre; Zaharescu, Alexandru; Zaki, Mohammad
8
2005
Nonvanishing of Fourier coefficients of modular forms. Zbl 1075.11034
Alkan, Emre
16
2003
Variations on Wolstenholme’s theorem. Zbl 0836.11002
Alkan, Emre
13
1994
all top 5

Cited by 141 Authors

35 Alkan, Emre
18 Zaharescu, Alexandru
13 Göral, Haydar
8 Sertbaş, Doğa Can
6 Can, Mumun
5 Sofo, Anthony
4 Zaki, Mohammad
3 Chaubey, Sneha
3 Hamahata, Yoshinori
3 Ma, Rong
3 Mossinghoff, Michael J.
3 Shparlinski, Igor E.
3 Thomas, Neha Elizabeth
3 Xiong, Maosheng
3 Zhang, Yulong
2 Altuntaş, Çağatay
2 Bonciocat, Anca Iuliana
2 Bonciocat, Nicolae Ciprian
2 Çelik, Şermin Çam
2 Cenkci, Mehmet
2 Chahal, Bittu
2 Cochrane, Todd
2 Dağli, Muhammet Cihat
2 Das, Soumya
2 Dil, Ayhan
2 El-Abidine Guennoun, Zine
2 Elaissaoui, Lahoucine
2 Ganguly, Satadal
2 Han, Di
2 Harman, Glyn
2 Isaacson, Brad
2 Kiuchi, Isao
2 Kumar, Narasimha
2 Liu, Huaning
2 Mak, Kit-Ho
2 Meštrović, Romeo
2 Namboothiri, K. Vishnu
2 Pinner, Christopher G.
2 Richardson, Christophcr J.
2 Wang, Yunpeng
2 Wu, Jie
2 Yang, Jizhen
1 Akbal, Yıldırım
1 Alsulmi, Badria
1 Alzer, Horst
1 Batir, Necdet
1 Bengoechea, Paloma
1 Boca, Florin-Petre
1 Borda, Bence
1 Bordellès, Olivier
1 Boztaş, Merve Çelebi
1 Chaichana, Tuangrat
1 Chan, Tsz Ho
1 Chandran, Arya
1 Chatterjee, Tapas
1 Coppo, Marc-Antoine
1 Cvijović, Djurdje
1 de Camargo, André Pierro
1 Demirkol Özkaya, Zeynep
1 Doemlim, Pratchayaporn
1 Dong, Dong
1 Dymek, Aurelia
1 Ferretti, Federica
1 Ford, Kevin B.
1 Gambini, Alessandro
1 Goel, Shivani
1 Grützmann, Melchior
1 Güloğlu, Ahmet Muhtar
1 Gun, Sanoli
1 Guo, Bai-Ni
1 Haukkanen, Pentti
1 Havlicek, Hans
1 Haynes, Alan K.
1 He, Yuan
1 Inam, Ilker
1 Jancevskis, Martin
1 Jiang, Peilin
1 Kargin, Levent
1 Kasjan, Stanisław
1 Kaushik, Surjeet
1 Khurana, Suraj Singh
1 Korolëv, Maksim Aleksandrovich
1 Kowalski, Emmanuel
1 Kułaga-Przymus, Joanna
1 Kumar, Balesh
1 Lanius, Melinda
1 Laohakosol, Vichian
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 Louboutin, Stéphane R.
1 Martin, Greg
1 Martin, Paulo Agozzini
1 Matomäki, Kaisa
1 Mehreliyev, Tevekkül
...and 41 more Authors
all top 5

Cited in 55 Serials

18 Journal of Number Theory
18 International Journal of Number Theory
14 The Ramanujan Journal
10 Proceedings of the American Mathematical Society
8 Journal of Mathematical Analysis and Applications
4 Acta Arithmetica
4 Turkish Journal of Mathematics
4 Research in Number Theory
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 Acta Mathematica Sinica. English Series
3 Integers
3 Hacettepe Journal of Mathematics and Statistics
2 Lithuanian Mathematical Journal
2 Manuscripta Mathematica
2 Mathematische Zeitschrift
2 Transactions of the American Mathematical Society
2 Bulletin of the Korean Mathematical Society
2 Integral Transforms and Special Functions
2 Bulletin of the Brazilian Mathematical Society. New Series
1 Communications in Algebra
1 Indian Journal of Pure & Applied Mathematics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Annales Polonici Mathematici
1 Archiv der Mathematik
1 Czechoslovak Mathematical Journal
1 Functiones et Approximatio. Commentarii Mathematici
1 Glasgow Mathematical Journal
1 Journal of the Korean Mathematical Society
1 Mathematische Annalen
1 Proceedings of the Edinburgh Mathematical Society. Series II
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 Mathematical Modelling and Analysis
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Thai Journal of Mathematics
1 Chebyshevskiĭ Sbornik
1 Scientia. Series A: Mathematical Sciences. New Series
1 Journal of Physics A: Mathematical and Theoretical
1 Japanese Journal of Mathematics. 3rd Series
1 Annales Mathématiques du Québec
1 Journal of Mathematics
1 ISRN Combinatorics
1 Research in the Mathematical Sciences
1 Journal of Numbers
1 AIMS Mathematics
1 Advanced Studies: Euro-Tbilisi Mathematical Journal

Citations by Year