نتائج البحث - "Dirichlet character"

المساهمون: Institut de Mathématiques de Marseille (I2M), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)

المصدر: ISSN: 0208-6573 ; Functiones et Approximatio Commentarii Mathematici ; https://hal.science/hal-04057621 ; Functiones et Approximatio Commentarii Mathematici, 2023, 68 (1), ⟨10.7169/facm/2027⟩.

مصطلحات موضوعية: Dirichlet character L-function mean square value relative class number Dedekind sums cyclotomic field, Dirichlet character, L-function, mean square value, relative class number, Dedekind sums, cyclotomic field, [MATH]Mathematics [math]

Relation: hal-04057621; https://hal.science/hal-04057621; https://hal.science/hal-04057621/document; https://hal.science/hal-04057621/file/FA2027.pdf

الاتاحة: https://hal.science/hal-04057621
https://hal.science/hal-04057621/document
https://hal.science/hal-04057621/file/FA2027.pdf
https://doi.org/10.7169/facm/2027

View record in BASE

6

Academic Journal

Mean square values of L-functions over subgroups for non primitive characters, Dedekind sums and bounds on relative class numbers

المؤلفون: Louboutin, Stéphane, Munsch, Marc

المساهمون: Institut de Mathématiques de Marseille (I2M), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Université de Genève = University of Geneva (UNIGE), Laboratoire de Mathématiques Unifiées de Saint-Etienne (LA MUSE), Université Jean Monnet - Saint-Étienne (UJM), Institut Camille Jordan (ICJ), École Centrale de Lyon (ECL), Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet - Saint-Étienne (UJM)-Centre National de la Recherche Scientifique (CNRS), Combinatoire, théorie des nombres (CTN), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet - Saint-Étienne (UJM)-Centre National de la Recherche Scientifique (CNRS)-École Centrale de Lyon (ECL)

المصدر: EISSN: 1496-4279 ; Canadian Journal of Mathematics = Journal Canadien de Mathématiques ; https://hal.science/hal-03983361 ; Canadian Journal of Mathematics = Journal Canadien de Mathématiques, In press, 75 (5), pp.1711-1743. ⟨10.4153/S0008414X2300010X⟩

مصطلحات موضوعية: 11F20, 11R42, 11M20, 11R20, 11R29, 11J71 Dirichlet character, L-function, Mean square value, Relative class number, Dedekind sums, Cyclotomic field, Discrepancy, Multiplicative subgroup, [MATH]Mathematics [math]

Relation: hal-03983361; https://hal.science/hal-03983361; https://hal.science/hal-03983361/document; https://hal.science/hal-03983361/file/ArticleMarcStephCanadianJournalMath.pdf

الاتاحة: https://hal.science/hal-03983361
https://hal.science/hal-03983361/document
https://hal.science/hal-03983361/file/ArticleMarcStephCanadianJournalMath.pdf
https://doi.org/10.4153/S0008414X2300010X

View record in BASE

7

Academic Journal

On the exceptional set of a system of linear equations with prime numbers ; Об исключительном множестве одной системы линейных уравнений с простыми числами

المؤلفون: Ismail Allakov, Bakhrom Kholturayevich Abrayev, Исмаил Аллаков, Бахром Холтураевич Абраев

المصدر: Chebyshevskii Sbornik; Том 24, № 2 (2023); 15-37 ; Чебышевский сборник; Том 24, № 2 (2023); 15-37 ; 2226-8383 ; 10.22405/2226-8383-2023-24-2

وصف الملف: application/pdf

Relation: https://www.chebsbornik.ru/jour/article/view/1533/1076; Wu Fang. On the solutions of the systems of linear equations with prime variables // Acta Math. Sinica.-1957.-V.7.-P.102-121.; Ming-Chit Liu and Kai-Tsang. On pairs of linear equations in three prime and application to Goldbach’s problem // J.Reine angew.Math.-1989.-V.399.-P.109-136.; Аллаков И. Об условиях разрешимости системы линейных диофантовых уравнений в простых числах. Известия ВУЗов. «Математика».-Казань, 2006. № 1-С.3-10; Аллаков И. Об условиях разрешимости системы линейных уравнений в простых числах.//; Вестник ТерГУ-Ташкент 2005.№ 2.-С.146-157.; Абраев Б.Х., Аллакова Д.И. О решение системы линейных уравнений в простых числах.; Материалы научно-технической конференции «Прикладная математика и информационная безопасность» Ташкент. 2014 г. 28-30 апреля, С.50-54; Abrayev B.KH., Allakov I. On solvability conditions of a pair of linear equations with four unknowns in prime numbers //Uzb.mat.jurnal. -2020.-№ 3.-P.16-24.; Аллаков И.,Абраев Б.Х. О условиях разрешимости пары линейных уравнений с четырьмя неизвестными в простых числах.(Алгебра, теория чисел и дискретная геометрия: современные проблемы, приложения и проблемы истории) Тула.23-26 сентябрь 2020. С.6-8.; Davenport H.Multiplicative number theory.Third edition.Springer.New York.2000.177p.; Карацуба А.А. Основы аналитической теории чисел. -М.: Наука.1983. -199с.; Аллаков И. Оценка тригонометрических сумм и их приложения к решению некоторых аддитивных задач теории чисел. Термез.Изд. «Сурхан нашр» 2021.160c.; Абраев Б.Х. Исследование сингулярного ряда в задаче об одновременном представлении пары чисел суммой четырёх простых чисел. Научный вестник. Самаркандский государственный университет, № 1 (131), 2022г. С.68-77.; Vaughan R.C.The Hardy-Littlewood method. Second edition. Cambridge University Press. 1997.232p.; Подвигин. И.В. Основы функционального анализа. Новосибирск. Изд. Новосибирский государственный университет, 2017. 184с.; Бабаназаров Б., Тулаганова М.И., Файнлейб А.С. О разрешимости системы линейных уравнений в простых числах // Докл. АН РУз.- Ташкент, 1992. - № 6-7. - С.7-9.; Аллаков И., Исраилов М.И. О разрешимости системы линейных уравнений в простых числах // Докл. АН РУз. –Ташкент, 1992. - № 10-11. -С.12-15.; Аллаков И.,Сафаров А.Ш. Об одной аддитивной проблеме Хуа-Ло- Кена. Чебышевский сборник, 2019, т.20, № 4, с.32-45.; Liu M.C., Tsang K.M. Small prime solutions of linear equations // Proc. Intern. Number. Th. Conf. 1987. Laval Uniyersity. Cand. Math. Soc. Berlin- New York . - 1989. - P.595-624.; Allakov I.A., Israilov M.I. About Simultaneous Representation of Two Natural Numbers by Sum of Three Primes // Computer Algebra in Scientific Computing, CASC-2000: Springer-Verlag Berlin Heidelberg New York. -2000. - Р.13-20.; Аллаков И. Об одновременном представлении чисел суммой простых чисел. Материалы международной конференции «Современные проблемы и приложения алгебры, теории чисел и математического анализа». Душанбе, 2019, 13-14 декабря, с.46-49.; Аллаков И. Абраев Б.Х. О разрешимости одной системы линейных уравнений с целыми коэффициентами в простых числах. Бюллетень Института математики 2022, Vol. 5, № 6, стp. 37-49.; https://www.chebsbornik.ru/jour/article/view/1533

الاتاحة: https://www.chebsbornik.ru/jour/article/view/1533
https://doi.org/10.22405/2226-8383-2023-24-2-15-37

View record in BASE

8

Academic Journal

On two sums related to the Lehmer problem over short intervals

المؤلفون: Yanbo Song

المصدر: AIMS Mathematics, Vol 6, Iss 11, Pp 11723-11732 (2021)

مصطلحات موضوعية: lehmer problem, asymptotic formula, dirichlet character, Mathematics, QA1-939

وصف الملف: electronic resource

Relation: https://doaj.org/toc/2473-6988

URL الوصول: https://doaj.org/article/04e2deeb6e124014a2c8055c1a4ada8c

View record in DOAJ

Full Text Finder

9

Academic Journal

Counting certain quadratic partitions of zero modulo a prime number

المؤلفون: Xiao Wang, Li Aihua

المصدر: Open Mathematics, Vol 19, Iss 1, Pp 198-211 (2021)

مصطلحات موضوعية: partition of a number, dirichlet character sum, diophantine equation, solution number, 11d45, 11p83, 11l10, Mathematics, QA1-939

وصف الملف: electronic resource

Relation: https://doaj.org/toc/2391-5455

URL الوصول: https://doaj.org/article/5db4c9befe3a4d158b6b5ee1e919e6f9

View record in DOAJ

Full Text Finder

10

Academic Journal

On p-adic Dedekind-Rademacher sums attached to Dirichlet characters

المؤلفون: Kazuhito Kozuka

المصدر: Research Report of Miyakonojo National College of Technology. 2023, 57:1

View record in JSTAGE

11

Academic Journal

Dedekind sums and mean square value of L(1, χ) over subgroups

المؤلفون: Louboutin, Stéphane

المساهمون: Institut de Mathématiques de Marseille (I2M), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)

المصدر: Publ. Math. Debrecen ; https://hal.science/hal-04599893 ; Publ. Math. Debrecen, In press

مصطلحات موضوعية: Dirichlet character, L-function, Mean square value, Relative class number, Dedekind sums, Cyclotomic field, [MATH]Mathematics [math]

Relation: hal-04599893; https://hal.science/hal-04599893; https://hal.science/hal-04599893/document; https://hal.science/hal-04599893/file/mean%20square%20value%20over%20subgroups%20Rev%20final%20version%20ArchivEtResearchgate.pdf

الاتاحة: https://hal.science/hal-04599893
https://hal.science/hal-04599893/document
https://hal.science/hal-04599893/file/mean%20square%20value%20over%20subgroups%20Rev%20final%20version%20ArchivEtResearchgate.pdf

View record in BASE

12

Academic Journal

Une note sur la densité des zéros des sommes partielles de la fonction zeta de Dedekind sur un corps quadratique

المؤلفون: Dubon, Eric

المساهمون: Universidad de Alicante. Departamento de Matemáticas, Curvas Alpha-Densas. Análisis y Geometría Local

مصطلحات موضوعية: Dirichlet polynomials, Dirichlet character, Multiplicative functions, Bohr’s equivalence, Zeros of entire functions, Riemann’s zeta function, Dedekind’s zeta function, Análisis Matemático

Relation: https://doi.org/10.4153/S0008439521000357; Canadian Mathematical Bulletin. 2022, 65(2): 409-415. https://doi.org/10.4153/S0008439521000357; 0008-4395 (Print); 1496-4287 (Online); http://hdl.handle.net/10045/115250

الاتاحة: http://hdl.handle.net/10045/115250
https://doi.org/10.4153/S0008439521000357

View record in BASE

13

Academic Journal

Twisted Higher Moments of Kloosterman Sums

المؤلفون: Liu, Chunlei

المصدر: Proceedings of the American Mathematical Society, 2002 Jul 01. 130(7), 1887-1892.

URL الوصول: https://www.jstor.org/stable/2699789

Full Text Finder

14

Uniform effective estimates for |L(1,χ)

المؤلفون: Tim Trudgian, Alessandro Languasco

المصدر: Journal of Number Theory. 236:245-260

مصطلحات موضوعية: Riemann hypothesis, symbols.namesake, Pure mathematics, Algebra and Number Theory, Corollary, symbols, Quadratic field, Class number, Dirichlet character, Dirichlet distribution, Mathematics

URL الوصول: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a31a8f4ef06a5d1ad2e84c757b1b3cf0
https://doi.org/10.1016/j.jnt.2021.07.019

View record in OpenAIRE

15

Academic Journal

On the average behavior of the Fourier coefficients of $j$th symmetric power $L$-function over certain sequences of positive integers

المؤلفون: Sharma, Anubhav, Sankaranarayanan, Ayyadurai

مصطلحات موضوعية: keyword:nonprincipal Dirichlet character, keyword:Hölder's inequality, keyword:$j$th symmetric power $L$-function, keyword:holomorphic cusp form, msc:11F11, msc:11F30, msc:11M06

وصف الملف: application/pdf

Relation: mr:MR4632863; zbl:Zbl 07729543; reference:[1] Bourgain, J.: Decoupling, exponential sums and the Riemann zeta function.J. Am. Math. Soc. 30 (2017), 205-224. Zbl 1352.11065, MR 3556291, 10.1090/jams/860; reference:[2] Deligne, P.: La conjecture de Weil. I.Publ. Math., Inst. Hautes Étud. Sci. 43 (1974), 273-307 French. Zbl 0287.14001, MR 0340258, 10.1007/BF02684373; reference:[3] Fomenko, O. M.: Identities involving coefficients of automorphic $L$-functions.J. Math. Sci., New York 133 (2006), 1749-1755. Zbl 1094.11018, MR 2119744, 10.1007/s10958-006-0086-x; reference:[4] Good, A.: The square mean of Dirichlet series associated with cusp forms.Mathematika 29 (1982), 278-295. Zbl 0497.10016, MR 0696884, 10.1112/S0025579300012377; reference:[5] Granville, A., Soundararajan, K.: Multiplicative number theory: The pretentious approach.Available at https://dms.umontreal.ca/ {andrew/PDF/BookChaps1n2.pdf}.; reference:[6] He, X.: Integral power sums of Fourier coefficients of symmetric square $L$-functions.Proc. Am. Math. Soc. 147 (2019), 2847-2856. Zbl 1431.11062, MR 3973888, 10.1090/proc/14516; reference:[7] Heath-Brown, D. R.: The twelfth power moment of the Riemann-function.Q. J. Math., Oxf. II. Ser. 29 (1978), 443-462. Zbl 0394.10020, MR 0517737, 10.1093/qmath/29.4.443; reference:[8] Ivić, A.: Exponent pairs and the zeta-function of Riemann.Stud. Sci. Math. Hung. 15 (1980), 157-181. Zbl 0455.10025, MR 0681438; reference:[9] Jiang, Y., Lü, G.: On the higher mean over arithmetic progressions of Fourier coefficients of cusp forms.Acta Arith. 3 (2014), 231-252. Zbl 1323.11023, MR 3283621, 10.4064/aa166-3-2; reference:[10] Jutila, M.: Lectures on a Method in the Theory of Exponential Sums.Lectures on Mathematics and Physics. Mathematics. Tata Institute of Fundamental Research 80. Springer, Berlin (1987). Zbl 0671.10031, MR 0910497; reference:[11] Krätzel, E.: Analytische Funktionen in der Zahlentheorie.Teubner-Texte zur Mathematik 139. B. G. Teubner, Stuttgart (2000). Zbl 0962.11001, MR 1889901, 10.1007/978-3-322-80021-3; reference:[12] Lao, H.: On the fourth moment of coefficients of symmetric square $L$-function.Chin. Ann. Math., Ser. B 33 (2012), 877-888. Zbl 1279.11052, MR 2996556, 10.1007/s11401-012-0746-8; reference:[13] Lau, Y.-K., Lü, G.: Sums of Fourier coefficients of cusp forms.Q. J. Math. 62 (2011), 687-716. Zbl 1269.11044, MR 2825478, 10.1093/qmath/haq012; reference:[14] Loh, W. K. A.: Limitation to the asymptotic formula in Waring's problem.Acta Arith. 74 (1996), 1-15. Zbl 0847.11050, MR 1367574, 10.4064/aa-74-1-1-15; reference:[15] Newton, J., Thorne, J. A.: Symmetric power functoriality for holomorphic modular forms.Publ. Math., Inst. Hautes Étud. Sci. 134 (2021), 1-116. Zbl 07458825, MR 4349240, 10.1007/s10240-021-00127-3; reference:[16] Newton, J., Thorne, J. A.: Symmetric power functoriality for holomorphic modular forms. II.Publ. Math., Inst. Hautes Étud. Sci. 134 (2021), 117-152. Zbl 07458826, MR 4349241, 10.1007/s10240-021-00126-4; reference:[17] Sharma, A., Sankaranarayanan, A.: Average behavior of the Fourier coefficients of symmetric square $L$-function over some sequence of integers.Integers 22 (2022), Article ID A74, 17 pages. Zbl 07604107, MR 4467003; reference:[18] Sharma, A., Sankaranarayanan, A.: Discrete mean square of the coefficients of symmetric square $L$-functions on certain sequence of positive numbers.Res. Number Theory 8 (2022), Article ID 19, 13 pages. Zbl 1498.11177, MR 4392068, 10.1007/s40993-022-00319-8; reference:[19] Sharma, A., Sankaranarayanan, A.: Higher moments of the Fourier coefficients of symmetric square $L$-functions on certain sequence.Rend. Circ. Mat. Palermo (2) (2023), 1399-1416. Zbl 07670402, MR 4559106, 10.1007/s12215-022-00740-z; reference:[20] Tang, H.: Estimates for the Fourier coefficients of symmetric square $L$-functions.Arch. Math. 100 (2013), 123-130. Zbl 1287.11061, MR 3020126, 10.1007/s11401-016-1013-1; reference:[21] Vaughan, R. C.: The Hardy-Littlewood Method.Cambridge Tracts in Mathematics 125. Cambridge University Press, Cambridge (1997). Zbl 0868.11046, MR 1435742, 10.1017/CBO9780511470929; reference:[22] Zhai, S.: Average behavior of Fourier coefficients of cusp forms over sum of two squares.J. Number Theory 133 (2013), 3862-3876. Zbl 1295.11041, MR 3084303, 10.1016/j.jnt.2013.05.013

الاتاحة: http://hdl.handle.net/10338.dmlcz/151780

View record in BASE

Full Text Finder