Lynne Walling: Understanding quadratic forms on lattices through generalised theta series
Abstract: Siegel introduced generalised theta series to study representation numbers of quadratic forms. Given an integral lattice L with quadratic form q, Siegel’s degree n theta series attached to L has a Fourier expansion supported on n-dimensional lattices, with Fourier coefficients th
From playlist Women at CIRM
Math 139 Fourier Analysis Lecture 10.1 L^2 convergence of Fourier Series
(Unfortunately I taped only part of this lecture.) Fourier series converges to the function in the L^2 sense.
From playlist Course 8: Fourier Analysis
Math 139 Fourier Analysis Lecture 09: L^2 convergence of the Fourier Series
L^2 convergence of Fourier Series: little l^2; l^2 is a vector space; the space of integrable functions on the circle; Fourier series of an integrable function converges to the function in the sense of L^2
From playlist Course 8: Fourier Analysis
This video introduces the harmonic series, explains why it is divergent and also examples infinite series that resemble the harmonic series. Site: http://mathispower4u.com
From playlist Infinite Series
The geometric series.
From playlist Advanced Calculus / Multivariable Calculus
Fourier Series Coefficients (where did they come from?)
Learn how to derive the Fourier series coefficients formulas. Remember, a Fourier series is a series representation of a function with sin(nx) and cos(nx) as its building blocks. Meanwhile, a Taylor series is a series representation of a function with x^n as its building blocks. These are
From playlist Fourier Series
Calculus, 11 9 #13 a, Power Series Representation
Calculus, Algebra and more at www.blackpenredpen.com Differential equation, factoring, linear equation, quadratic equation, derivatives, integrals, stewart calculus 7th edition, algebra.
From playlist Calculus, Sect 11.9, Power Series Representations of Functions
Calculus, Algebra and more at www.blackpenredpen.com Differential equation, factoring, linear equation, quadratic equation, derivatives, integrals, stewart calculus 7th edition, algebra.
From playlist Calculus, Sect 11.1, Sequences
Siegel modular forms: Classical and adelic aspects by Ameya Pitale
PROGRAM : ALGEBRAIC AND ANALYTIC ASPECTS OF AUTOMORPHIC FORMS ORGANIZERS : Anilatmaja Aryasomayajula, Venketasubramanian C G, Jurg Kramer, Dipendra Prasad, Anandavardhanan U. K. and Anna von Pippich DATE & TIME : 25 February 2019 to 07 March 2019 VENUE : Madhava Lecture Hall, ICTS Banga
From playlist Algebraic and Analytic Aspects of Automorphic Forms 2019
The Theta Correspondence Origins, Results, and Ramifications Part I
Professor Roger Howe, Texas A&M University, USA
From playlist Distinguished Visitors Lecture Series
Modular forms: Theta functions
This lecture is part of an online graduate course on modular forms. We show that the theta function of a 1-dimensional lattice is a modular form using the Poisson summation formula, and use this to prove the functional equation of the Riemann zeta function. For the other lectures in th
From playlist Modular forms
Fundamental Fourier coefficients of Siegel modular forms by Soumya Das
PROGRAM : ALGEBRAIC AND ANALYTIC ASPECTS OF AUTOMORPHIC FORMS ORGANIZERS : Anilatmaja Aryasomayajula, Venketasubramanian C G, Jurg Kramer, Dipendra Prasad, Anandavardhanan U. K. and Anna von Pippich DATE & TIME : 25 February 2019 to 07 March 2019 VENUE : Madhava Lecture Hall, ICTS Banga
From playlist Algebraic and Analytic Aspects of Automorphic Forms 2019
The standard L-function of Siegel modular forms and applications (Lecture 4) by Ameya Pitale
PROGRAM : ALGEBRAIC AND ANALYTIC ASPECTS OF AUTOMORPHIC FORMS ORGANIZERS : Anilatmaja Aryasomayajula, Venketasubramanian C G, Jurg Kramer, Dipendra Prasad, Anandavardhanan U. K. and Anna von Pippich DATE & TIME : 25 February 2019 to 07 March 2019 VENUE : Madhava Lecture Hall, ICTS Banga
From playlist Algebraic and Analytic Aspects of Automorphic Forms 2019
The standard L-function of Siegel modular forms and applications (Lecture 3) by Ameya Pitale
PROGRAM : ALGEBRAIC AND ANALYTIC ASPECTS OF AUTOMORPHIC FORMS ORGANIZERS : Anilatmaja Aryasomayajula, Venketasubramanian C G, Jurg Kramer, Dipendra Prasad, Anandavardhanan U. K. and Anna von Pippich DATE & TIME : 25 February 2019 to 07 March 2019 VENUE : Madhava Lecture Hall, ICTS Banga
From playlist Algebraic and Analytic Aspects of Automorphic Forms 2019
The standard L-function of Siegel modular forms and applications by Ameya Pitale
PROGRAM : ALGEBRAIC AND ANALYTIC ASPECTS OF AUTOMORPHIC FORMS ORGANIZERS : Anilatmaja Aryasomayajula, Venketasubramanian C G, Jurg Kramer, Dipendra Prasad, Anandavardhanan U. K. and Anna von Pippich DATE & TIME : 25 February 2019 to 07 March 2019 VENUE : Madhava Lecture Hall, ICTS Banga
From playlist Algebraic and Analytic Aspects of Automorphic Forms 2019
Johnathan Hanke - Computer-Assisted Proofs in the Arithmetic of Quadratic Forms - IPAM at UCLA
Recorded 17 February 2023. Johnathan Hanke of Princeton University presents "Computer-Assisted Proofs in the Arithmetic of Quadratic Forms" at IPAM's Machine Assisted Proofs Workshop. Abstract: Since its early history, the ideas and results in arithmetic of quadratic forms have been inspir
From playlist 2023 Machine Assisted Proofs Workshop
Standard L-functions and theta correspondence by Shunsuke Yamana
PROGRAM : ALGEBRAIC AND ANALYTIC ASPECTS OF AUTOMORPHIC FORMS ORGANIZERS : Anilatmaja Aryasomayajula, Venketasubramanian C G, Jurg Kramer, Dipendra Prasad, Anandavardhanan U. K. and Anna von Pippich DATE & TIME : 25 February 2019 to 07 March 2019 VENUE : Madhava Lecture Hall, ICTS Banga
From playlist Algebraic and Analytic Aspects of Automorphic Forms 2019
On symplectic models, highest derivatives and restriction to SL(2n) of... by Omer Offen
PROGRAM : ALGEBRAIC AND ANALYTIC ASPECTS OF AUTOMORPHIC FORMS ORGANIZERS : Anilatmaja Aryasomayajula, Venketasubramanian C G, Jurg Kramer, Dipendra Prasad, Anandavardhanan U. K. and Anna von Pippich DATE & TIME : 25 February 2019 to 07 March 2019 VENUE : Madhava Lecture Hall, ICTS Banga
From playlist Algebraic and Analytic Aspects of Automorphic Forms 2019
Calculus, 11 9 #3, Power Series Representation
Calculus, Algebra and more at www.blackpenredpen.com Differential equation, factoring, linear equation, quadratic equation, derivatives, integrals, stewart calculus 7th edition, algebra.
From playlist Calculus, Sect 11.9, Power Series Representations of Functions