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How to write Euler product and Zeta function for $K = \mathbb{Q}(\sqrt{3})$

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#algebraic-number-theory #extension-field #zeta-functions
156
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On a certain integral that involves a product of powers of logarithms.

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#integration #special-functions #zeta-functions #euler-sums
91
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Paradoxical result by residue theorem

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#complex-analysis #contour-integration #residue-calculus #riemann-zeta #zeta-functions
471
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Exercise 2 from Terry Tao's blog on Euler-Maclaurin, Bernouilli numbers, and the zeta function

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#number-theory #analytic-number-theory #zeta-functions #analytic-continuation #summation-method
59
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computing ζ function of some simple varieties over finite field

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#number-theory #elliptic-curves #zeta-functions #betti-numbers
28
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For which parameters does the inequality hold?

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#functional-analysis #analysis #zeta-functions
297
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Generalization of the Riemann zeta function with non-integer bases

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#analytic-number-theory #riemann-zeta #zeta-functions
228
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Proving identity $\sum_{j\geq 1}[(j+t)^{-1}-j^{-1}]=\sum_{k\geq 1}\zeta (k+1)(-t)^{k}$

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#sequences-and-series #special-functions #zeta-functions
815
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Some basic questions about the Selberg zeta function

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#geometry #zeta-functions
460
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Connection between Bernoulli polynomials and polygamma function

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#gamma-function #zeta-functions
214
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On functions similar to Hurwitz zeta function

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#special-functions #zeta-functions #analytic-number-theory
210
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Shintani cone zeta function

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#number-theory #sequences-and-series #numerical-methods #zeta-functions
617
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Getting my number theoretic series straight

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#number-theory #zeta-functions
2.3k
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Is Riemann Zeta Function symmetrical about the real axis?

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#special-functions #analytic-number-theory #zeta-functions
768
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Square-free zeta function zeros

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#number-theory #complex-analysis #prime-numbers #riemann-zeta #zeta-functions

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