In mathematics, a Kloosterman sum is a particular kind of exponential sum. They are named for the Dutch mathematician Hendrik Kloosterman, who introduced them in 1926 when he adapted the Hardy–Littlewood circle method to tackle a problem involving positive definite diagonal quadratic forms in four as opposed to five or more variables, which he had dealt with in his dissertation in 1924. Let a, b, m be natural numbers. Then Here x* is the inverse of x modulo m. (Wikipedia).
Ian Petrow (ETH Zürich) 1/4 - Kloostermania [2017]
notes for this talk: https://www.msri.org/workshops/801/schedules/21768/documents/2985/assets/27967 Introductory Workshop: Analytic Number Theory February 06, 2017 - February 10, 2017 February 06, 2017 (04:45 PM PST - 05:45 PM PST) Speaker(s): Ian Petrow (ETH Zürich) The Kuznetsov For
From playlist Number Theory
Scott Ahlgren: Algebraic and transcendental formulas for the smallest parts function
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Number Theory
Bounds for character twists of L-functions - Paul Nelson
Locally Symmetric Spaces Seminar Topic: Bounds for character twists of L-functions Speaker: Paul Nelson Affiliation: ETH Zurich Date: March 13, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
What is the sum of an arithmetic series using the sum formula
👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is
From playlist Series
Finding the sum or an arithmetic series using summation notation
👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is
From playlist Series
Non-spherical Poincaré series, cusp forms and L-functions for GL(3) - Jack Buttcane
Joint IAS/Princeton University Number Theory Seminar Topic: Non-spherical Poincaré series, cusp forms and L-functions for GL(3) Speaker: Jack Buttcane Affiliation: University of Buffalo Date: April 10, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Can p-adic integrals be computed? - William Duke
Automorphic Forms William Duke Thomas Hales April 6, 2001 Concepts, Techniques, Applications and Influence April 4, 2001 - April 7, 2001 Support for this conference was provided by the National Science Foundation Conference Page: https://www.math.ias.edu/conf-automorphicforms Confere
From playlist Mathematics
N. Katz - Rigid local systems and (some) finite groups
We will discuss rigid local systems on the affine line in positive characteristic whose monodromy groups are certain finite groups of Lie type.
From playlist Arithmetic and Algebraic Geometry: A conference in honor of Ofer Gabber on the occasion of his 60th birthday
Evaluating the partial sum of a arithmetic series
👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is
From playlist Series
Learn to use summation notation for an arithmetic series to find the sum
👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is
From playlist Series
Javier Fresán: Symmetric power moments of Kloosterman sums
Abstract: We construct motives over the rational numbers associated with symmetric power moments of Kloosterman sums, and prove that their L-functions extend meromorphically to the complex plane and satisfy a functional equation conjectured by Broadhurst and Roberts. Although the motives i
From playlist Algebraic and Complex Geometry
Can you evaluate this limit with a sum? Subscribe to my channel: https://youtube.com/drpeyam Check out my TikTok channel: https://www.tiktok.com/@drpeyam Follow me on Instagram: https://www.instagram.com/peyamstagram/ Follow me on Twitter: https://twitter.com/drpeyam Teespring merch: http
From playlist Integrals
Find the partial sum of the 150th term in a sequence
👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is
From playlist Series
Finding the sum of a series arithmetic
👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is
From playlist Series
Sum of integers squared explained
Explanation on deriving the equation. In arithmetic, we often come across the sum of n natural numbers. Sum of squares refers to the sum of the squares of numbers. It is basically the addition of squared numbers. Support my channel with this special custom merch! https://www.etsy.com/list
From playlist Math formulas, proofs, ideas explained
[BOURBAKI 2018] 13/01/2018 - 1/4 - Javier FRESAN
Équidistribution de sommes exponentielles (travaux de Katz) - Javier FRESÁN De nombreuses sommes exponentielles sur les corps finis, par exemple les sommes de Gauss ou les sommes de Kloosterman, s'obtiennent comme transformée de Fourier de la fonction trace d'un faisceau l-adique sur un
From playlist BOURBAKI - 2018
Alexandru Dimca: Betti numbers of hypersurfaces and defects of linear systems IV
Abstract: Our approach is a generalization of Griffiths' results expressing the cohomology ofa smooth hypersurface V: f=0 in a projective space \mathbb{P}^n in terms of some graded pieces of the Jacobian algebra of f. We will start by recalling these classical results. Then we explain t
From playlist HIM Lectures: Junior Trimester Program "Algebraic Geometry"
Given two terms find the sum of your arithmetic series
👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is
From playlist Series
Karl Mahlburg: Automorphic forms and classical partition identities
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Number Theory
series of n/2^n as a double summation
We will evaluate the infinite series of n/2^n by using the double summation technique. Thanks to Johannes for the solution. Summation by parts approach by Michael Penn: https://youtu.be/mNIsJ0MgdmU Subscribe for more math for fun videos 👉 https://bit.ly/3o2fMNo 💪 Support this channe
From playlist Sum, math for fun