Zafer Selçuk Aygin

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All published works

Action	Title	Year	Authors
+ PDF Chat	Bounds for orders of zeros of a class of Eisenstein series and their applications on dual pairs of eta quotients	2023	Amir Akbary Zafer Selçuk Aygin
+	Bounds for orders of zeros of a class of Eisenstein series and their applications on dual pairs of eta quotients	2023	Amir Akbary Zafer Selçuk Aygin
+	Application: Quadratic Forms	2023	Zafer Selçuk Aygin
+	Modular Forms: Definition and Some Properties	2023	Zafer Selçuk Aygin
+	Application: Eta Quotients	2023	Zafer Selçuk Aygin
+	Introduction to Applications of Modular Forms	2023	Zafer Selçuk Aygin
+	Various Applications	2023	Zafer Selçuk Aygin
+	Dirichlet Characters	2023	Zafer Selçuk Aygin
+	Rogers–Ramanujan type generalized reciprocal identities and Eisenstein series	2022	Zafer Selçuk Aygin
+	Corrigendum to “Monogenic pure cubics” [J. Number Theory 219 (2021) 356–367]	2022	Zafer Selçuk Aygin Khoa D. Nguyen
+	Sums of triangular numbers and sums of squares	2022	Amir Akbary Zafer Selçuk Aygin
+ PDF Chat	Projections of modular forms on Eisenstein series and its application to Siegel’s formula	2022	Zafer Selçuk Aygin
+	AN APPLICATION OF BINARY QUADRATIC FORMS OF DISCRIMINANT TO MODULAR FORMS	2022	Zafer Selçuk Aygin Kenneth S. Williams
+ PDF Chat	<i>N</i>-colored generalized Frobenius partitions: generalized Kolitsch identities	2022	Zafer Selçuk Aygin K. Nguyen
+	Representation Numbers of Spinor Regular Ternary Quadratic Forms	2021	Zafer Selçuk Aygin Greg Doyle Florian Münkel Lerna Pehlivan Kenneth S. Williams
+	Projections of modular forms on Eisenstein series and its application to Siegel's formula	2021	Zafer Selçuk Aygin
+	Sums of triangular numbers and sums of squares	2021	Amir Akbary Zafer Selçuk Aygin
+	N-colored generalized Frobenius partitions: Generalized Kolitsch identities	2021	Zafer Selçuk Aygin Khoa D. Nguyen
+	Projections of modular forms on Eisenstein series and its application to Siegel's formula	2021	Zafer Selçuk Aygin
+	Derivable quadratic forms and representation numbers	2020	Zafer Selçuk Aygin Kenneth S. Williams
+	Monogenic pure cubics	2020	Zafer Selçuk Aygin Khoa D. Nguyen
+	Monogenic pure cubics	2020	Zafer Selçuk Aygin Khoa D. Nguyen
+	Why Does a Prime p Divide a Fermat Number?	2020	Zafer Selçuk Aygin Kenneth S. Williams
+	Monogenic pure cubics	2020	Zafer Selçuk Aygin Khoa D. Nguyen
+	Combinations of Ranks and Cranks of Partitions Moduli 6, 9 and 12 and Their Comparison with the Partition Function	2019	Zafer Selçuk Aygin Song Heng Chan
+	Combinations of Ranks and Cranks of Partitions Moduli 6, 9 and 12 and Their Comparison with the Partition Function	2019	Zafer Selçuk Aygin Song Heng Chan
+	When is the derivative of an eta quotient another eta quotient?	2019	Zafer Selçuk Aygin Pee Choon Toh
+ PDF Chat	Eisenstein series and convolution sums	2018	Zafer Selçuk Aygin
+	Eta quotients of level 12 and weight 1	2018	Ayşe Alaca Şaban Alaca Zafer Selçuk Aygin
+ PDF Chat	Ramanujan’s convolution sum twisted by Dirichlet characters	2018	Zafer Selçuk Aygin Nankun Hong
+	On Eisenstein series in M2(Γ0(N)) and their applications	2018	Zafer Selçuk Aygin
+	Extensions of Ramanujan–Mordell formula with coefficients 1 and p	2018	Zafer Selçuk Aygin
+	Eta Quotients, Eisenstein Series and Elliptic Curves.	2018	Ayşe Alaca Şaban Alaca Zafer Selçuk Aygin
+	Representations by sextenary quadratic forms with coefficients 1,2,3 and 6 and on newforms in S3(Γ0(24),χ)	2017	Zafer Selçuk Aygin
+	Representations by sextenary quadratic forms with coefficients $1,2,3$ and $6$ and on newforms in $S_{3} (\Gamma_0 (24), \chi )$	2017	Zafer Selçuk Aygin
+ PDF Chat	Theta products and eta quotients of level $24$ and weight $2$	2017	Ayşe Alaca Şaban Alaca Zafer Selçuk Aygin
+	Representations by sextenary quadratic forms with coefficients $1,2,3$ and $6$ and on newforms in $S_{3} (Γ_0 (24), χ)$	2017	Zafer Selçuk Aygin
+	Eisenstein Series and Convolution Sums	2016	Zafer Selçuk Aygin
+	Infinite products with coefficients which vanish on certain arithmetic progressions	2016	Ayşe Alaca Şaban Alaca Zafer Selçuk Aygin Kenneth S. Williams
+	Theta Products and Eta Quotients of Level $24$ and Weight $2$	2016	Ayşe Alaca Şaban Alaca Zafer Selçuk Aygin
+	A family of Eta Quotients and an Extension of the Ramanujan-Mordell Theorem	2016	Ayşe Alaca Şaban Alaca Zafer Selçuk Aygin
+	Eta quotients, Eisenstein series and Elliptic Curves	2016	Ayşe Alaca Şaban Alaca Zafer Selçuk Aygin
+	Eisenstein Series, Eta Quotients and Their Applications in Number Theory	2016	Zafer Selçuk Aygin
+	Theta Products and Eta Quotients of Level $24$ and Weight $2$	2016	Ayşe Alaca Şaban Alaca Zafer Selçuk Aygin
+	Eisenstein Series and Convolution Sums	2016	Zafer Selçuk Aygin
+	A family of Eta Quotients and an Extension of the Ramanujan-Mordell Theorem	2016	Ayşe Alaca Şaban Alaca Zafer Selçuk Aygin
+	Fourier coefficients of a class of eta quotients of weight 2	2015	Ayşe Alaca Şaban Alaca Zafer Selçuk Aygin

Common Coauthors

Coauthor	Papers Together
Ayşe Alaca	10
Şaban Alaca	10
Kenneth S. Williams	5
Amir Akbary	4
Khoa D. Nguyen	3
Khoa D. Nguyen	2
Song Heng Chan	2
Florian Münkel	1
Pee Choon Toh	1
Nankun Hong	1
K. Nguyen	1
Greg Doyle	1
Lerna Pehlivan	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Eta Products and Theta Series Identities	2011	Günter Köhler	15
+ PDF Chat	Modular Forms, a Computational Approach	2007	William Stein	15
+	Modular Forms - A Classical and Computational Introduction	2008	L. J. P. Kilford	10
+	Topics in Classical Automorphic Forms	1997	Henryk Iwaniec	8
+	Multiplicative Number Theory I: Classical Theory	2006	Hugh L. Montgomery R. C. Vaughan	7
+	FOURIER SERIES OF A CLASS OF ETA QUOTIENTS	2012	Kenneth S. Williams	7
+	The Web of Modularity: Arithmetic of the Coefficients of Modular Forms and 𝑞-series	2003	Ken Ono	6
+	Number Theory in the Spirit of Ramanujan	2006	Bruce C. Berndt	6
+	Fourier coefficients of a class of eta quotients of weight 2	2015	Ayşe Alaca Şaban Alaca Zafer Selçuk Aygin	6
+ PDF Chat	Powers of theta functions	2008	Heng Huat Chan S. Barry Cooper	6
+ PDF Chat	Eta-quotients and elliptic curves	1997	Yves Martin Ken Ono	5
+	Modular Forms: A Classical Approach	2017	Henri Cohen Fredrik Strömberg	5
+	On Eisenstein series in M2(Γ0(N)) and their applications	2018	Zafer Selçuk Aygin	5
+	Analogues of the Ramanujan–Mordell theorem	2016	S. Barry Cooper Ben Kane Dongxi Ye	5
+	Number theory in the spirit of Ramanujan	2007	Bruce C. Berndt	5
+	On spaces of modular forms spanned by eta-quotients	2014	Jeremy Rouse John J. Webb	4
+ PDF Chat	The number of representations of a positive integer by certain octonary quadratic forms	2010	Şaban Alaca Kenneth S. Williams	4
+	Modular Forms with Integral and Half-Integral Weights	2012	Xueli Wang Dingyi Pei	4
+	Ramanujan-Type Congruences for Three Colored Frobenius Partitions	2000	Jeremy Lovejoy	4
+	Algorithms for Modular Elliptic Curves	1992	J. E. Cremona	4
+	Eisenstein Series, Eta Quotients and Their Applications in Number Theory	2016	Zafer Selçuk Aygin	4
+	Extensions of Ramanujan–Mordell formula with coefficients 1 and p	2018	Zafer Selçuk Aygin	4
+	Ramanujan's Theta Functions	2017	S. Barry Cooper	4
+ PDF Chat	Nineteen quaternary quadratic forms	2007	Ayşe Alaca Şaban Alaca Mathieu F. Lemire Kenneth S. Williams	3
+ PDF Chat	Ternary quadratic forms and half-integral weight modular forms	2012	Alia Hamieh	3
+	Multiplicative properties of η-products	1989	Basil Gordon Dale Sinor	3
+	Representation of Quadratic Forms by Integral Quadratic Forms	2013	Rainer Schulze‐Pillot	3
+	An Explicit Formula for Local Densities of Quadratic Forms	1998	Tonghai Yang	3
+ PDF Chat	Projections of modular forms on Eisenstein series and its application to Siegel’s formula	2022	Zafer Selçuk Aygin	3
+ PDF Chat	Theta products and eta quotients of level $24$ and weight $2$	2017	Ayşe Alaca Şaban Alaca Zafer Selçuk Aygin	3
+	Representations of Integers as Sums of Squares	1985	Emil Grosswald	3
+	Fundamenta nova theoriae functionum ellipticarum	2013	Carl Gustav Jacob Jacobi	3
+	Quantitative aspects of the representations of integers by quadratic forms	1989	A. Arenas	3
+ PDF Chat	Dyson’s ranks and Appell–Lerch sums	2016	Dean Hickerson Eric T. Mortenson	2
+	Rational Quadratic Forms	1982	J. W. S. Cassels	2
+	Some Properties of Partitions	1954	A. O. L. Atkin Peter Swinnerton‐Dyer	2
+	A First Course in Modular Forms	2005	Fred Diamond Jerry Shurman	2
+	Evaluation of the convolution sums	2007	Ayşe Alaca Kenneth S. Williams	2
+	SOME NEW THETA FUNCTION IDENTITIES WITH APPLICATIONS TO SEXTENARY QUADRATIC FORMS	2009	Ayşe Alaca Kenneth S. Williams	2
+	SUMS OF 4k SQUARES: A POLYNOMIAL APPROACH	2009	Kenneth S. Williams	2
+ PDF Chat	Introduction to Elliptic Curves and Modular Forms	1993	Neal Koblitz	2
+	Representations of Integers as Sums of 32 Squares	2003	Heng Huat Chan Kok Seng Chua	2
+	Gauss and Jacobi sums	1998	Bruce C. Berndt Kenneth S. Williams Ronald J. Evans	2
+	Basic Hypergeometric Series and Applications.	1990	Ranjan Roy N. J. Fine	2
+ PDF Chat	Regular and semi-regular positive ternary quadratic forms	1939	Burton W. Jones Gordon Pall	2
+	A Course in Arithmetic	1973	Jean Pierre Serre	2
+ PDF Chat	EVALUATING CONVOLUTION SUMS OF THE DIVISOR FUNCTION BY QUASIMODULAR FORMS	2007	Emmanuel Royer	2
+ PDF Chat	Calculation of the regulator of a pure cubic field	1980	Hywel C Williams Gordon V. Cormack E. Seah	2
+ PDF Chat	The convolution sum ∑<sub>m<n⁄8</sub>σ(m) σ(n−8m)	2006	Kenneth S. Williams	2
+	Cranks andt-cores	1990	Frank G. Garvan Dongsu Kim Dennis Stanton	2