Modular forms and related topics in number theory : Kozhikode, India / B. Ramakrishnan, Bernhard Heim, Brundaban Sahu, editors.

This book collects the papers presented at the Conference on Number Theory, held at the Kerala School of Mathematics, Kozhikode, Kerala, India, from December 10-14, 2018. The conference aimed at bringing the active number theorists and researchers in automorphic forms and allied areas to demonstrate...

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Bibliographic Details
Corporate Author: Conference on Number Theory Kozhikode, India
Other Authors: Ramakrishnan, B. (Editor), Heim, Bernhard (Editor), Sahu, Brundaban (Editor)
Format: eBook
Language:English
Published: Singapore : Springer, [2020]
Series:Springer proceedings in mathematics & statistics ; v. 340.
Subjects:
Online Access:Click for online access

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245 1 0 |a Modular forms and related topics in number theory :  |b Kozhikode, India /  |c B. Ramakrishnan, Bernhard Heim, Brundaban Sahu, editors. 
264 1 |a Singapore :  |b Springer,  |c [2020] 
264 4 |c ©2020 
300 |a 1 online resource (xii, 233 pages) 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Springer proceedings in mathematics & statistics ;  |v volume 340 
500 |a International conference proceedings. 
520 |a This book collects the papers presented at the Conference on Number Theory, held at the Kerala School of Mathematics, Kozhikode, Kerala, India, from December 10-14, 2018. The conference aimed at bringing the active number theorists and researchers in automorphic forms and allied areas to demonstrate their current research works. This book benefits young research scholars, postdoctoral fellows, and young faculty members working in these areas of research. 
588 0 |a Online resource; title from digital title page (viewed on February 05, 2021). 
504 |a References. 
505 0 |a Intro -- Preface -- Conference on Number Theory -- List of Speakers -- List of Participants -- Contents -- On Vanishing of Hecke Operators -- 1 Statement of Results -- 2 Proof of Theorem 3 -- 3 Proof of Theorem 2 -- 4 Further Remarks -- References -- On a Polynomial Method of Rónyai in the Study of Zero-Sum Theorems -- 1 Introduction -- 2 The Constant s (mathbbZnd) -- 3 Weighted Zero-Sum Problems and Rónyai's Method -- References -- p-adic Asai L-functions Attached to Bianchi Cusp Forms -- 1 Preliminaries -- 2 Complex Valued Distributions -- 3 Rationality Result for Twisted Asai L-values 
505 8 |a 4 Rationality of Eisenstein Cohomology Classes -- 5 Towards Integrality -- 6 Constructing Bounded Distributions -- References -- Arithmetic Properties of Vector-Valued Siegel Modular Forms -- 1 Introduction -- 2 Generalities -- 3 Construction of Integral Modular Forms of Degree n from Eisenstein Series of Degree 2n -- 4 Linearized Pullback Formula -- 4.1 On Vector-Valued Klingen-Eisenstein Series -- 4.2 Pullback Formula -- 5 An Application to Congruences for Vector-Valued Modular Forms -- References -- Omega Results for Fourier Coefficients of Half-Integral Weight and Siegel Modular Forms 
505 8 |a Rankin-Cohen Brackets and Identities Among Eigenforms II -- 1 Introduction and Statement of the Main Result -- 2 Preliminaries -- 2.1 Eigenforms -- 2.2 The Isomorphism -- 2.3 L-Functions Attached to Modular Forms -- 3 Eisenstein Series -- 3.1 Eisenstein Series of Weight 2 -- 4 Auxiliary Results -- 5 Proof of Theorem 2 -- 5.1 First Case -- 5.2 Second Case -- 5.3 Third Case -- 6 Further Remarks -- References -- Rankin-Cohen Type Operators for Hilbert-Jacobi Forms -- 1 Introduction -- 2 Preliminaries and Statement of Result -- 3 Intermediate Results -- 4 Proof of Theorem 1 -- 5 Concluding Remark 
650 0 |a Forms, Modular  |v Congresses. 
650 0 |a Number theory  |v Congresses. 
650 0 7 |a Formas modulares  |2 embucm 
650 0 7 |a Números , Teoría de  |2 embucm 
650 7 |a Forms, Modular  |2 fast 
650 7 |a Algebra  |2 fast 
650 7 |a Number theory  |2 fast 
650 7 |a Operator theory  |2 fast 
655 7 |a proceedings (reports)  |2 aat 
655 7 |a Conference papers and proceedings  |2 fast 
655 7 |a Conference papers and proceedings.  |2 lcgft 
655 7 |a Actes de congrès.  |2 rvmgf 
700 1 |a Ramakrishnan, B.,  |e editor. 
700 1 |a Heim, Bernhard,  |e editor. 
700 1 |a Sahu, Brundaban,  |e editor. 
758 |i has work:  |a Modular forms and related topics in number theory (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCFrwyVXJCDp4YhcK7Y8JMq  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |a Conference on Number Theory (2018 : Kozhikode, India).  |t Modular forms and related topics in number theory.  |d Singapore : Springer, [2020]  |z 9811587183  |z 9789811587184  |w (OCoLC)1191164964 
830 0 |a Springer proceedings in mathematics & statistics ;  |v v. 340. 
856 4 0 |u https://holycross.idm.oclc.org/login?auth=cas&url=https://link.springer.com/10.1007/978-981-15-8719-1  |y Click for online access 
880 0 0 |6 505-00/(S  |r V.K. Adersh,  |t On vanishing of Hecke operators --  |r S.D. Adhikari, B. Roy, and S. Sarkar,  |t On a polynomial method of Rónyai in the study of zero-sum theorems --  |r B. Balasubramanyam, E. Ghate and R. Vangala,  |t p-adic Asai L-functions attached to Bianchi cusp forms --  |r S. Böcherer,  |t Arithmetic properties of vector-valued Siegel modular forms --  |r S. Das,  |t Omega results for Fourier coefficients of half-integral weight and Siegel modular forms --  |r A. Hauffe-Waschbusch and A. Krieg,  |t On Hecke theory for Hermitian modular forms --  |r B. Heim and M. Neuhauser,  |t Sign Changes of the Ramanujan τ-function --  |r A. Kar and M. Ram Murty,  |t The Central Limit Theorem in Algebra and Number Theory --  |r A. Kumar and J. Meher,  |t Rankin-Cohen brackets and identities among eigenforms II --  |r M. Kumari and B. Sahu,  |t Rankin-Cohen type operators for Hilbert-Jacobi forms --  |r M.K. Pandey and B. Ramakrishnan,  |t Determining modular forms of half-integral weight by central values of convolution L-functions --  |r B. Ramakrishnan, B. Sahu and A.K. Singh,  |t On the number of representations of a natural number by certain quaternary quadratic forms --  |r V.P. Ramesh, M. Makeshwari, M. Prithvi and R. Thatchaayini,  |t Identities from Partition of the Symmetric group Sn --  |r M.M. Sreejith,  |t A certain kernel function for L-values of half-integral weight Hecke eigenforms --  |r S. Kotyada and S. Muthukrishnan,  |t On admissible set of primes in real quadratic fields.s. 
903 |a SPRING-MATH2020 
994 |a 92  |b HCD